Well Completion

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TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 1/50 PE 4063 / 6463 – Well Completion GROUP – 1 Introduction to Well Completions SET 1 – Introduction The word "completion" means the conclusion of a borehole that has just been drilled. Completion is, therefore, the link between drilling the wellbore and the production phase. Completion involves all of the operations designed to make the well produce, in particular connecting the borehole and the pay zone, treating the pay zone, equipping the well, putting it on stream and assessing it. Pay zone is the reservoir rocks which contain oil and/or gas that can be recovered. Generally speaking, certain measurement and maintenance operations in the well along with any workover jobs that might be required also come under the heading of completion are considered. Therefore, completion begins with well positioning and ends only at well abandonment. Whatever the operational entity in charge of well completion and workover, its actions are greatly influenced by the way the well has been designed and drilled and by the production problems the reservoir might cause. The "completion man" will therefore have to work in close cooperation with the "driller" (who may both work in one and the same department), and also with reservoir engineers and production technical staff. TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 2/50 After a well has been drilled, it must be properly completed before it can be put into production. A complex technology has evolved around the techniques and equipment developed for this purpose. Consequently, the selection of materials, equipment and techniques should only be made following a thorough investigation of the factors which are specific to the reservoir, wellbore and production system under study. Thus, completion engineer should be in coordination of many different professionals. As seen from the following figure, the completion engineers should be in contact with drilling engineers, reservoir engineers, production engineers, geologists, etc. Therefore, completion process required a massive teamwork.
TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 3/50 There are three basic requirements of any completion (in common with almost every oilfield product or service). A completion system must provide a means of oil or gas production (or injection) which is; i) Safe ii) Efficient iii) Economic Current industry conditions may force operators to place undue emphasis on the economic requirement of completions. However, a non-optimized completion system may compromise long-term company objectives. For example, if the company objective is to maximize the recoverable reserves of a reservoir or field, a poor or inappropriate completion design can seriously jeopardize achievement of the objective as the reservoir becomes depleted. In short, it is the technical efficiency of the entire completion system, viewed alongside the specific company objectives, which ultimately determines the completion configuration and equipment used. Well completion processes extend far beyond the installation of wellbore tubulars and equipment. Installing and cementing the production casing or liner, as well as logging, perforating and testing are part of the completion process. In addition, complex wellhead equipment and processing or storage TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 4/50 requirements effect the production of a well so may have some bearing on the design and configuration of the completion. Well Completion Planning Planning a completion, from concept through to installation, is a complex process comprising several distinct phases. Many factors must be considered, although in most cases, a high proportion can be quickly resolved or disregarded. Ultimately, it is the predicted technical efficiency of a completion system, viewed alongside the company objectives, which will determine the configuration and components to be used. Data Sources In order to select the suitable completion type as well as conduct a proper completion design, information should be gathered from different possible sources. Following figure summarizes the sources that are used for this purpose.
TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 5/50 Reservoir Parameters The information about the reservoir can be obtained by formation and reservoir evaluation programs such as coring, testing and logging. Typically, such data will be integrated by reservoir engineers to compose a reservoir model. The reservoir structure, continuity and production drive mechanism are fundamental to the production process of any well. Frequently, assumptions are made of these factors, which later prove to be significant constraints on the performance of the completion system selected. TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 6/50 Physical characteristics of the reservoir, such as pressure and temperature, are used in describing reservoir and downhole conditions. The effects of temperature and pressure on many other factors can be significant. For example, corrosion rates, selection of seal materials and the properties of produced fluids are all affected by temperature and pressure. When investigating the reservoir rock characteristics, the principal concern is assessing formation behavior and reaction. This includes behavior and reaction to the drilling, production or stimulation treatments which may be required to fully exploit the potential of the reservoir. The formation structure and stability should be closely investigated to determine any requirement for stimulation or sand control treatment as part of the completion process. The reservoir characteristics effecting completion configuration or component selections are best summarized by reviewing the reservoir structure, continuity, drive mechanism and physical characteristics. Produced Fluid Characteristics Two conditions, relating to the chemical properties of the produced fluid most affect the physical qualities of completion components and materials. These are chemical deposition (scale, asphaltenes etc.) and chemical corrosion (weight loss and material degradation). The ability of the reservoir fluid to flow through the completion tubulars and equipment, including the wellhead and surface production facilities, must be
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TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 7/50 assessed. For example, as the temperature and pressure of the fluid changes, the viscosity may rise or wax may be deposited. Both conditions may place unacceptable backpressure, therefore causes a dramatic reduction the efficiency of the completion system. While the downhole conditions contributing to these factors may occur over the lifetime of the well, consideration must be made at the time the completion components are being selected. Cost effective completion designs generally utilize the minimum acceptable components of an appropriate material. In many cases, reservoir and downhole conditions will change during the period of production. The resulting possibility of rendering the completion design or material unsuitable should be considered during the selection process. Wellbore Construction Wellbore construction factors can be categorized in the following phases; i) Drilling – The processes required to efficiently drill to and through the reservoir ii) Coring and testing – The acquisition of wellbore survey and reservoir test data used to identify completion design constraints iii) Pre completion stimulation or treatment – final preparation of the wellbore through the zone of interest for the completion installation phase. TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 8/50 It is an obvious requirement that the drilling program must be designed and completed within the scope and limits determined by the completion design criteria. Most obvious are the dimensional requirements determined by the selected completion tubulars and components. For example, if a multiple string completion is to be selected, an adequate size of production casing (and consequently hole size) must be installed. Similarly, the wellbore deviation or profile can have a significant impact. Drilling and associated operations, e.g., cementing, performed in the pay zone must be completed with extra vigilance. It is becoming increasingly accepted that the prevention of formation damage is easier, and much more cost effective, than the cure. Fluids used to drill, cement or service the pay zone should be closely scrutinized and selected to minimize the likelihood of formation damage. Similarly, the acquisition of accurate data relating to the pay zone is important. The basis of several major decisions concerning the technical feasibility and economic viability of possible completion systems will rest on the data obtained at this time. A pre-completion stimulation treatment is frequently conducted. This is often part of the evaluation process in a test treat-test program in which the response of the reservoir formation to a stimulation treatment can be assessed.
TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 9/50 Completion Assembly Installation This stages marks the beginning of what is commonly perceived as the “completion program”. Considerable preparation, evaluation and design work has been completed before the completion tubulars and components are selected. With all design data gathered and verified, the completion component selection, assembly and installation process commences. This phase carries obvious importance since the overall efficiency of the completion system depends on proper selection and installation of components. A “visionary” approach is necessary since the influence of all factors must be considered at this stage, i.e., factors resulting from previous operations or events, plus an allowance, or contingency, for factors which are likely or liable to affect the completion system performance in the future. The correct assembly and installation of components in the wellbore is as critical as the selection process by which they are chosen. This is typically a time at which many people and resources are brought together to perform the operation. In general, completion components are broadly categorized as follows i) Primary completion, components ii) Auxiliary completion components. Primary completion components are considered essential for the completion to function safely as designed. Such components include the wellhead, tubing string, safety valves TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 10/50 and packers. In special applications, e.g., artificial lift, the components necessary to enable the completion system to function as designed will normally be considered primary components. Auxiliary completion components enable a higher level of control or flexibility for the completion system. For example, the installation of nipples and flow control devices can allow improved control. Several types of device, with varying degrees of importance, can be installed to permit greater flexibility of the completion. While this is generally viewed as beneficial, a complex completion will often be more vulnerable to problems or failure, e.g., due to leakage. The desire for flexibility in a completion system stems from the changing conditions over the lifetime of a well, field or reservoir. For example, as the reservoir pressure depletes, gas injection via a side-pocket mandrel may be necessary to maintain optimized production levels. Completion fluids often require special mixing and handling procedures, since; i) the level quality control exercised on density and cleanliness is high ii) completion fluids are often formulated with dangerous brines and inhibitors.
TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 11/50 The ultimate selection of completion components and fluids should generally be made to provide a balance between flexibility and simplicity. Initiating Production The three stages associated with this phase of the completion process include; i) Kick-off ii) Clean up iii) Stimulation The process of initiating flow and establishing communication between the reservoir and the wellbore is obviously closely associated with perforating operations. If the well is to be perforated overbalanced, then the flow initiation and clean up program may be dealt with in separate procedures. However, if the well is perforated in an underbalanced condition, the flow initiation and clean up procedures must commence immediately upon perforation. While the reservoir/wellbore pressure differential may be sufficient to provide an underbalance at time of perforation, the reservoir pressure may be insufficient to cause the well to flow after the pressure has equalized. Adequate reservoir pressure must exist to displace the fluids from within the production tubing if the well is to flow unaided. Should the reservoir pressure be insufficient to achieve this, measures must be taken to lighten the fluid TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 12/50 column - typically by gas lifting or circulating less dense fluid. The preparations for these eventualities are part of the completion design process. The flowrates and pressures used to exercise control during the clean up period are intended to maximize the return of drilling or completion fluids and debris. This controlled backflush of perforating debris or filtrate also enables surface production facilities to reach stable conditions gradually. In some completion designs, an initial stimulation treatment may be conducted at this stage. An acid wash or soak placed over the perforations has proved effective in some conditions. However, as underbalanced perforating becomes more popular, the need and opportunity for this type of treatment has diminished. Stimulation There are four general categories of stimulation treatment which may be considered necessary during the process of completing a well i) Wellbore cleanup ii) Perforation washing or opening iii) Matrix treatment of the near wellbore area iv) Hydraulic fracturing Wellbore clean up will not normally be required with new completions. However, in wells which are to be reperforated or in which a new pay zone is to be opened, a well bore clean up
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TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 13/50 treatment may be appropriate. There are various perforation treatments which may be associated with new or re- completion operations. Perforating acids and treatment fluids are designed to be placed across the interval to be perforated before the guns are fired. Used in overbalanced perforating applications, the perforating acid or fluid reduces the damage resulting from the perforating operation. Perforation washing is an attempt to ensure that as many perforations as possible are contributing to the flow from the reservoir. Rock compaction, mud and cement filtrate and perforation debris have been identified as types of damage, which will limit the flow capacity of a perforation, and therefore completion efficiency. If the objective of the treatment is to remove damage in or around the perforation, simply soaking acid across the interval is unlikely to be adequate. The treatment fluid must penetrate and flow through the perforation to be effective. In which case all the precautions associated with a matrix treatment must be exercised to avoid causing further damage by inappropriate fluid selection. Matrix treatment of the near wellbore area may be designed to remove or by-pass the damage. Hydraulic fracturing treatments provide a high conductivity channel through any damaged area and extending into the reservoir. TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 14/50 Well Service and Maintenance Requirements The term “well servicing” is used to describe a wide range of activities including i) Routine monitoring ii) Wellhead and flowline servicing iii) Minor workovers (thru-tubing) iv) Major workovers (tubing pulled) v) Emergency response and containment. Well service or maintenance preferences and requirements must be considered during the completion design process. With more complex completion systems, the availability and response of service and support systems must also be considered. Wellbore geometry and completion dimensions determine the limitations of conventional slickline, wireline, coiled tubing or snubbing services in any application. Logistics Restraints imposed by logistic or location driven criteria often compromise the basic “cost effective” requirement of a completion system. Special safety and contingency precautions or facilities are associated with certain locations, e.g., offshore and subsea.
TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 15/50 Review of Some Basic Concepts The design of an efficient, safe and economic completion system is dependent on the acquisition of accurate data and the selection of appropriate components. Since the ultimate success of the completion systems is dependent on its successful installation, the installation procedures should also be given some consideration at this time. In many cases, several types of component can be used with equal success. Previous experience and knowledge of potential problem areas enable the selection process to be completed with a degree of confidence. There are enormous ranges of completion types and configurations in use worldwide. Most of which can be classified by the following general criteria. Wellbore/reservoir interface, i.e., open-hole or cased hole completion Production method, i.e., natural/artificial lift production Producing zones, i.e., single /multiple zone production. Within each classification, completion design will vary according to the following reservoir and location characteristics; Gross production rate Well pressure and depth Formation properties Fluid properties Well location TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 16/50 Production hydraulics, or the flow of fluids through the production tubulars can be a complex condition to asset and design for. However, several computer models are available to assist in completion designers achieve an efficient flow regime which minimizes the risk of problems later in the life of a completion. For example, most gas wells perform well upon initial completion. However, as the reservoir pressure depletes, liquid loading can occur which may restrict or even prevent production. Multiphase Flow Almost all wells produce a mixture of gas and liquids even though they may be distinctly classed as oil wells or gas wells. There are several flow regimes associated with the upward flow of multiphase fluids in vertical, or slightly deviated wellbores. Four conditions are generally recognized when describing flow in oil and/or gas wells. Bubble flow - characterized by a uniformly distributed gas phase as discrete bubbles in a continuous liquid phase. Bubble flow is further classified into bubbly and dispersed bubble flows, based on the presence or absence of slippage between the liquid and gas phases. In bubbly flow, relatively fewer and larger bubbles move faster than the liquid phase due to slippage. In dispersed bubble flow numerous tiny bubbles are transported by the liquid phase, causing no relative motion
TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 17/50 between the two phases. Dispersed bubble flow is sometimes known as froth flow. Slug flow - characterized by a series of slugs, comprising a gas pocket called a Taylor bubble, a plug of liquid (slug) and a film of liquid around the Taylor bubble flowing downwards. For vertical flow, the Taylor bubble is an axially symmetrical bullet- shaped gas pocket that occupies almost the entire cross sectional area of the pipe. The liquid slug, containing smaller gas bubbles, bridges the tubing thereby separating the Taylor bubbles. Transition or churn flow – a chaotic flow of gas and liquid in which both the Taylor bubbles and liquid slugs become distorted. Neither phase appears to be continuous and the liquid phase appears to move both up and down (oscillate) the tubular. Churn flow is considered a transition region between slug flow and mist flow. Annular/mist – characterized by a continuous gas phase core with the liquid flowing upwards as a thin film on the tubing wall. Some investigators have called this flow pattern mist flow, since small liquid drops are continuously being broken from, and reabsorbed by the annular film. The interfacial shear stress acting at the core-film interface and the amount of entrained liquid in the core are important parameters. TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 18/50 Bubble, slug and churn flow patterns are typically associated with oil wells. However, it is possible for oil and gas wells to include all flow patterns (in addition to a single phase liquid or gas). During production, the relationships between these factors are further complicated by changes in temperature and pressure throughout the wellbore, and by the resulting exchange of mass between phases. A characteristic common to each flow regime is that a velocity differential exists between all fluid phases. This results in an accumulation (or holdup) of one phase with respect to the other(s). This further complicates the accurate modeling of hydrostatic pressure. The most efficient flow regime for liquid removal from gas wells is
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TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 19/50 annular/mist flow. The gas velocity required to sustain a stable annular/mist flow condition is known as the critical velocity. When analyzing or designing gas well completions, the critical velocity must be exceeded throughout the wellbore to ensure sustained, efficient liquid removal. A rule-of-thumb estimation frequently used for critical velocity is 10 ft/sec. TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 20/50
TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 21/50 Well System Analysis The process of optimizing production involves first understanding the reservoir fluid and deliverability parameters, then optimizing the design of each well component in the line of flow, wellbore, completion, and reservoir segments. The objectives of system analysis may be summarized as follows, the overall goal being systems optimization. TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 22/50 Optimize the completion system to the reservoir deliverability Identify restrictions or the limiting factors of production Identify means of increasing the production efficiency Important completion parameters can be entered, and varied to enable the assessment of their contribution to the overall performance of the completion system. Optimization is generally a trial and error task of changing the parameter values used in each component until computer generated results match the desired well performance. This will establish a level of confidence in the computer generated results that can be carried to the next phase of the nodal analysis whereby parameters are changed to optimize the well for future performance behavior and anticipated workovers. Reservoir parameters are generally fixed, although the primary reservoir pressure may deplete during the producing life of the well. Fluid parameters are usually fixed except for ratios such as GWR, GOR, or GLR. The production system components to be optimized include the wellbore and completion configuration. Only a few parameters can be effectively changed to enhance the performance of most well systems: Tubing or flowline Wellhead or separator pressure (compression)
TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 23/50 Choke or restriction size Perforation density (shots per foot) Perforation geometry (length and diameter) Perforated interval length Skin (stimulation) Artificial lift Inflow Performance Relations The Inflow Performance Relationship or IPR is defined as the functional relationship between the production rate and the bottomhole flowing pressure. IPR is defined in the pressure range between the average reservoir pressure and atmospheric pressure. The flow rate corresponding to the atmospheric bottomhole flowing pressure is defined as the absolute open flow potential of the well, whereas the flow rate at the average reservoir pressure bottomhole is always zero. Flow into a Wellbore The simplest defining relationship is that postulated by Darcy from his observations on water filtration. The Law applies to so- called linear flow where the cross sectional area for flow is constant irrespective of position within the porous media. Darcy’s law states that TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 24/50 Q k P h g A l l   Here, Q is the flow rate, A is the cross-sectional area where flow takes place, k is the permeability of the porous media, µ is the fluid viscosity, P l is the change in pressure with respect to length, is the fluid density, g is the gravitational constant, and h l is the change in elevation with respect to length. In this equation, the first term on the right hand side quantifies the effect of viscous forces whilst the second term in parenthesis is the gravitational force effect. For a horizontal medium i.e. horizontal flow with no gravity segregation, i.e., 0 h . Therefore, for a horizontal, incompressible, laminar flow, Darcy’s law is Q k P u A l   where u is the velocity of the fluid. Integrating this equation for 1 0, l P P and 2 , l L P P 2 1 0 P L P Q k l P A   
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TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 25/50 Then, 1 2 k A P P Q L The linear flow model has little widespread application in the assessment of well productivity for real reservoirs since the flow geometry cannot be assumed to be linear. Production wells are designed to drain a specific volume of the reservoir and the simplest model assumes that fluid converges towards a central well. Steady-State Incompressible Radial Flow Defining the flow area as TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 26/50 2 A rh Thus, Darcy’s equation can be written as 2 k rh P Q r   , w w r r P P and , e e r r P P . Here, P w is well flow pressure, P e is the reservoir pressure (also notated as P R ), r w is the well radius, and r e is the drainage radius. 1 2 e e w w P r P r Q P r kh r After integration, ln 2 e e w w r Q P P kh r e w P P is the total pressure drop across the reservoir and is denoted the drawdown, and Q is the fluid flowrate at reservoir conditions.
TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 27/50 The steady state radial flow equation for an incompressible fluid only truly applies when the reservoir is infinite in size and no pressure depletion occurs with time. It can be approximated by the performance of a well in a reservoir supported by an infinite aquifer provided the changing fluid mobility effects are negligible. It can also apply approximately for the following types of depletion provided little drop in reservoir pressure is experienced and assuming no marked changes occur in the properties of the flowing phases; i) highly supportive reservoir pressure maintenance with water injection or gas reinjection, ii) reservoir production associated with a substantial expanding gas cap. Semi Steady State Radial Flow of a Slightly Compressible Fluid Under these conditions, flow occurs solely as a result of the expansion of fluid remaining within the reservoir. The reservoir is frequently defined as being bounded since it is assumed that no flow occurs across the outer boundary. 0 e r r P r , i.e., no pressure gradient exists across the outer boundary. Since the production is due to fluid expansion in the reservoir, the pressure in the reservoir will be a function of time and the rate of pressure decline P t will be constant and uniform throughout the system. TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 28/50 The pressure profile with radius for the system will be constant but the absolute values of pressure will be time dependent. Production, since it is based upon the volumetric expansion of fluids in the reservoir, will depend upon the fluid compressibility which is defined as “the change in volume per unit volume per unit drop in pressure”, i.e., 1 V C V P   where C is the isothermal coefficient of compressibility. A reduction in pressure within the reservoir will cause an expansion in all of the fluid phases present, i.e., potentially oil, gas and water as well as a reduction in the pore space due to rock expansion. The isothermal compressibility should, for realistic evaluation, be the total system compressibility C t . For most reservoirs, C t is usually small, hence large changes in pressure will generate only limited fluid expansion and corresponding production. The application of Darcy’s law with the system compressibility equation applied to cylindrical reservoir volume, results in an equation which needs to be solved analytically to give
TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 29/50 2 2 1 ln 2 e w e w w e kh P P Q r r r r Since w e r r 2 1 ln 2 e w e w kh P P Q r r Since, for a bounded reservoir, P e has no physical significance, once the reservoir starts to deplete, the production ability of the reservoir at any point in time is best defined by a volumetrically averaged reservoir pressure. This pressure would only be realized if the well were closed in and pressure equilibrated throughout the drainage volume and the average reservoir pressure in thus defined by e w e w r r r r PdV P dV TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 30/50 Since the reservoir is bounded, with continuous production the average reservoir pressure will continuously decline. Thus, 2 3 ln 4 w e w kh P P Q r r Note that the basic assumption in the above derivation is that the reservoir is circular and penetrated by a central well. Radial Flow of a Compressible Fluid Oil, in most cases, can be considered as only slightly compressible and as the average molecular weight of the crude increases so the compressibility normally declines. Gases, however, are highly compressible fluids, containing only the lighter hydrocarbon molecules. The prediction of inflow performance for gas wells is more complex than for oil for the following reasons; i) gas viscosity is dependent upon pressure, ii) the isothermal fluid compressibility is highly dependent upon pressure and hence as the gas flows towards the wellbore it expands substantially. Hence the volumetric flowrate of gas rapidly increases as the gas nears the wellbore and flows up the tubing to surface.
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TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 31/50 For a radial gas flow, Darcy’s equation takes the form 2 g r k h P Q r Real gas law states that sc sc sc sc P Q PQ T Z T Z Thus, 2 sc sc sc g sc T Z P r k h P Q T Z P r Using the boundary condition for , w wf r r P P and integrating, 2 ln w P sc sc w sc sc g P k h Z T r P P r Q T P Z The integral term on the RHS can be handled either with a P 2 term after integration, or the Kirchoff integral commonly TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 32/50 referred to as the real gas pseudo-pressure function m P where 2 2 2 w w o o P P P w g g g P P P P P P m P P P P Z Z Z A plot of vs ln w r r will yield a straight line with a slope 2 sc sc sc sc Q T P k h Z T . Productivity Index Liquid Field measurements have shown that wells producing undersaturated oil (no gas at the wellbore) or water have a straight line IPR. R wf Q PI P P where Q is the flow rate and PI the “productivity index”. The productivity index provides a measure of the capability of a reservoir to deliver fluids to the bottom of a wellbore for production. It defines the relationship between the surface
TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 33/50 production rate and the pressure drop across the reservoir, known as the drawdown. For a steady state incompressible fluid, productivity index is 2 ln R wf e w Q kh PI P P r r For semi-steady state incompressible flow, productivity index is 2 3 ln 4 wf e w Q kh PI P P r r TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 34/50 A theoretical basis for the straight line IPR can be derived using Darcy’s Law, radial inflow into the well along with other assumptions about rock and fluid properties. PI is a useful tool for comparing wells since it combines all the relevant rock, fluid and geometrical properties into a single value to describe (relative) inflow performance. The Absolute Openhole Factor (AOF or Q max ), is the flowrate at zero (bottomhole), wellbore flowing pressure. AOF, although often representing unrealistic conditions, is a useful parameter when comparing wells within a field since it combines PI and reservoir pressure in one number representative of well inflow potential. A straight line IPR can be determined from two field measurements; i) the stabilized bottomhole pressure with the well shut in (reservoir pressure), ii) the flowing, bottom hole, wellbore pressure at one production rate. The well’s inflow potential can then be calculated at any drawdown. Gas The compressible nature of gas results in the IPR no longer being a straight line. However, the extension of this steady state relationship derived from Darcy’s Law, using an average value for the properties of the gas between the reservoir and wellbore, leads to 2 2 R wf Q c P P
TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 35/50 where c is a constant. This relationship is valid at low flow rates, but becomes invalid at higher flow rates since non-Darcy (or turbulent) flow effects begin to be observed. 2 2 n R wf Q c P P where 0.5 <n <1.0 A log-log plot of q versus 2 2 R wf P P yields a straight line of slope n and intercept c. Standard practice for testing gas wells is to measure the bottom hole, flowing, wellbore pressure at four production rates. TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 36/50 For a gas reservoir with steady state flow, productivity index is 2 2 2 ln R wf e w Q kh PI P P r T Z r
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TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 37/50 2-Phase Straight line IPR are also not applicable to when two phase inflow is taking place, e.g. when saturated oil is being produced. Darcy's law is only applicable in single-phase flow within the reservoir. In the case of an oil reservoir, single-phase flow occurs when the bottomhole flowing pressure is above the depletion of a reservoir, the reservoir pressure continues to drop unless maintained by bubble point pressure of the reservoir fluid at the reservoir temperature. During the pressure falls below the bubble point pressure which results in the combination of single fluid injection or flooding. Consequently, during depletion the bottomhole flowing phase and two phase flow within the reservoir. This requires a composite IPR. Vogel’s work Most oil reservoirs will produce at a bottom hole pressure below the bubble point either i) Initially where the reservoir is saturated, ii) Or after production where the pressure in the pore space declines below the bubble point. The complexity of modeling the inflow in this case is that there is multiphase flow. The flow of the individual phase is governed by the pore space occupancy or saturation of that phase i.e. S o or S g , which is in itself a function of pressure. Further, each of the phases will only become mobile when its saturation exceeds a critical TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 38/50 value. Below this value the phase is static but the volumetric pressure of that phase constrains the flow of the mobile phase i.e. the relative permeability of the mobile phase for example for a gas oil system. The relative permeability of the system is defined by a series of saturation dependent curves which are specific to the fluids and rock system e.g. A number of approximate techniques have been proposed in order to define the relation between the pressure drop and the dynamics of two-phase production, such as those of Vogel etc. In Vogels' work, he simulated the performance of a solution gas
TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 39/50 drive reservoir, plotted the data and attempted to derive a generalized relationship. An equation was best fitted to the curve and had the general form of 2 max 1 0.2 0.8 wf wf P P Q Q P P Behavior of IPR curve for different gas oil ratios at reservoir producing under bubble point pressure will be TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 40/50 Fetkovich customized the IPR behavior based on gas flow conditions, which has already been given in the previous sections. Reservoir Drive Mechanisms A reservoir drive mechanism is a source of energy for driving the fluids out through the wellbore. It is not necessarily the energy lifting the fluids to the surface, although in many cases, the same energy is capable of lifting the fluids to the surface. There are a number of drive mechanisms, but the two main drive mechanisms are depletion drive and water drive. Other drive mechanisms to be considered are compaction drive and
TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 41/50 gravity drive. These drive mechanisms are natural drive energies and are not to be confused with artificial drive energies such as gas injection and water injection. Depletion Type A depletion type reservoir is a reservoir in which the hydrocarbons contained are not in contact with a large body of permeable water bearing sand. In a depletion type reservoir the reservoir is virtually totally enclosed by porous media and the only energy comes from the reservoir system itself. The hydrocarbons are enclosed in isolated sand lenses which have been generated by a particular depositional environment. Over geological time the hydrocarbons have found their way into the porous media. The surrounding rocks may have permeability but it is so low as to prevent energy transfer from other sources. A mature reservoir has been subjected to faulting, resulting in the isolation of a part of the reservoir from the rest of the accumulation. In a total field system, such a situation can give rise to parts of the reservoir having different drive mechanism characteristics. TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 42/50 Water Drive A water drive reservoir is one in which the hydrocarbons are in contact with a large volume of water bearing sand. There are two types of water drive reservoirs. There are those where the driving energy comes primarily from the expansion of water as the reservoir is produced. The key issue here is the relative size and mobility of the water of the supporting aquifer relative to the size of the hydrocarbon accumulation. In a reservoir with a water drive mechanism for maintaining reservoir energy, the production of fluids from the reservoir unit is balanced by either aquifer expansion or, via injection of water into the reservoir. The water normally contained within an aquifer system can be defined as edge or bottom water drive depending upon the structural shape, dip angle and OWC within the reservoir. The net effect of water influx into the reservoir may be to prevent reservoir pressure dropping and, given the relatively low compressibility, for this to occur without depletion of the aquifer pressure, the aquifer volume must be very large. In the majority of cases, the aquifer is of a finite size and accordingly both the reservoir and aquifer pressure will decline in situations where the production rate is significant. If the production rate is small compared to the aquifer volume, then the compensating expansion of the aquifer may lead to no noticeable depletion for part of the production life of the field.
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TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 43/50 The expansion of the aquifer into the depleting oil zone in the reservoir will lead to a steady elevation in the oil water contact (OWC) and this may effect the zone within the reservoir from which production is required, e.g., the perforated section. In most cases, the rise in the OWC may not be uniform and, especially in the locality of a significant pressure drawdown, the water may rise above the average aquifer level towards the perforations. This phenomenon is referred to as coning. In addition, fingering due to heterogeneities may occur and this could lead to preferential movement through the more conductive layers and water accessing the wellbore prematurely. Although water drive is frequently encountered as a naturally occurring drive mechanism, many fields, particularly in the North Sea, are artificially placed on water drive through water injection at an early stage in their development. This extends the period of production above the bubble point, maximizes rates and improves recovery by immiscible displacement. Although water is less compressible than oil or gas and hence less able to provide the expansion volume required in the reservoir to compensate for the removal of fluid by production, it offers advantages in terms of ease of reinjection, safety, availability and safer handling compared to gas as well as powerful economic arguments. TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 44/50 Compaction Drive Compaction drive occurs when the hydrocarbon formation is compacted as a result of the increase in the net overburden stress as the reservoir pore pressure is reduced during production. The nature of the rock or its degree of consolidation can give rise to the mechanism. For example a shallow sand deposit which has not reached its minimum porosity level due to consolidation can consolidate further as the net overburden stresses increase as fluids are withdrawn. The impact of the further consolidation can give rise to subsidence at the surface. This phenomenon of compaction with increasing net overburden stress is not restricted to unconsolidated sands, since chalk also demonstrates this phenomenon. The oil within the reservoir pore space is compressed by the weight of overlying sediments and the pressure of the fluids they contain. If fluid is withdrawn from the reservoir, then it is possible that the pressure depletion in the pore space attributable to the production of fluid can be compensated for by the overlying sediments compacting lower sediments such as those of the reservoir production zone. The impact of this is to create a reduction in porosity and thus a potential compression effect. Such a mechanism known as compaction drive will cause a compensating compression of the fluid in the reservoir pore system. Compaction probably occurs to some
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TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 45/50 limited extent in many reservoirs but the compactional movement of the land surface or seabed is rarely measurable except in certain cases. Gravity Drainage Gravitational segregation or gravity drainage can be considered as a drive mechanism. This is a situation where the natural density segregation of the phases can be responsible for moving the fluids to the well bore. Gravity drainage is where the relative density forces associated with the fluids cause the fluids, the oil, to drain down towards the production well. The tendency for the gas to migrate up and the oil to drain down clearly will be influenced by the rate of flow of the fluids as indicated by their relative permeabilities. Gravity drainage is generally associated with the later stages of drive for reservoirs where other drive mechanisms have been the more dominant energy in earlier years. Gravity drainage can be significant and effective in steeply dipping reservoirs which are fractured. Of the drive mechanisms mentioned the major drive mechanisms are depletion drive, which are further classified into solution gas drive and gas cap drive and water drive. Gravity Drive typically is active during the final stages of a depletion reservoir. Efficient gravity drive within a reservoir, although being an ideal recovery mechanism, is less common. In gravity drive, the TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 46/50 hydrostatic pressure due to the oil column and pressure of the gas cap provides the drive downdip to a producing well system. In addition the stable upward expansion of the underlying aquifer supports the oil rim compression although in many cases the aquifer is small or non-existent. For such a system to be effective requires maximum structural dip, low oil viscosity, good vertical and horizontal permeability, preferably an active gas cap and negligible aquifer activity. Solution Gas Drive In solution gas drive reservoirs the initial condition is where the reservoir is undersaturated, i.e. above the bubble point. Production of fluids down to the bubble point is as a result of the effective compressibility of the system. When considering pressure volume phase behavior, we observed a small increase in volume of the oil for large reductions in pressure, for oil in the undersaturated state. Associated connate water also has compressibility as has the pore space within which the fluids are contained. This combined compressibility provides the drive mechanism for depletion drive above the bubble point. Perhaps this part of the depletion drive should be called compressibility drive. The low compressibility causes rapid pressure decline in this period and resulting low recovery. Of the three compressibilities, although it is the oil compressibility which is the larger, the impact of the other compressibility components, the water and the pores, should not be neglected.
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TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 47/50 As pressure is reduced, oil expands due to compressibility and eventually gas comes out of solution from the oil as the bubble point pressure of the fluid is reached. The expanding gas provides the force to drive the oil hence the term solution gas drive. It is sometimes called dissolved gas drive. Gas has a high compressibility compared to liquid and therefore the pressure decline is reduced. Solution gas drive only occurs once the bubble point pressure has been reached. If a reservoir contains oil initially above its bubble point then, as production continues, the removal from the reservoir of the produced oil will be compensated for by an expansion of the oil left in place within the reservoir. This will by necessity lead to a reduction in pressure and eventually the pressure within the reservoir will drop below the bubble point. Gas will then come out of solution and any subsequent production of fluids will lead to an expansion of both the oil and gas phases within the reservoir. The gas will come out of solution as dispersed bubbles throughout the reservoir wherever the pressure is below the bubble point but will be concentrated in areas of low pressure such as the rear wellbore area around production wells. However, as discussed previously, the relative permeability to the gas will not be significant until the gas saturation within the pore space increases. Thus, until this happens, gas which has TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 48/50 come out of solution will build up in the reservoir until its saturation allows it to produce more easily and this will be evident in a reduction in the volumetric ratio of gas to oil produced at surface, i.e., the GOR in the short term. Eventually, as gas saturation increases, free gas will be produced in increasing quantities associated with the produced oil. Further the gas may migrate to above the top of the oil in the reservoir and form a free gas cap if the vertical permeability permits and sufficient time is allowed for gravity segregation. The produced GOR may be observed to decline at surface once the bubble point is reached due to the retention of gas in the pore space once liberated. The other effect will be a reduction in the oil production rate because as the gas comes out of solution from the oil, the viscosity and density of the oil phase increases and its formation volume factor decreases (i.e., less shrinkage will occur with production). In addition, as the gas saturation in the pore space increases, the relative permeability to oil will decline. Later the observed production GOR will steadily increase due to increased gas saturation and mobility. Gas Cap Drive Another kind of depletion type is where there is already free gas in the reservoir, accumulated at the top of the reservoir in the form of a gas cap, as compared to the undersaturated initial condition for the previous solution gas drive reservoir. This gas cap drive reservoir, as it is termed, receives its energy from the
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TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 49/50 high compressibility of the gas cap. Since there is a gas cap then the bottom hole pressure will not be too far away from the bubble point pressure and therefore solution gas drive could also be occurring. The gas cap provides the major source of energy but there is also the expansion of oil and its dissolved gas and the gas coming out of solution. The oil expansion term is very low and is within the errors in calculating the two main energy sources. The two significant sources of driving energy are; i) Gas cap expansion, ii) Expansion of gas coming out of solution. Frequently, if reservoir pressure is initially equal to or at some later stage falls to the bubble point pressure for the oil, the gas released from solution may migrate upwards to form a gas cap on top of the oil. As previously discussed, the loss of the gas from being in solution within the oil, will lead to the oil having a higher viscosity and lower mobility. With the solution gas drive mechanism, the production of fluids occurred primarily with gas expansion as it moved towards the wellbore. The performance of a gas cap drive reservoir in terms of the oil production rate and GOR will vary from that of a solution gas drive. The pressure in the reservoir will in general decline more slowly, due to the capacity for expansion within the gas cap. The volume of the gas cap will depend upon; i) average reservoir pressure, ii) bubble point pressure, iii) GOR and gas composition TU – PE 4063/6463 – Well Completion Fall 2023 Ozbayoglu M.E., 918-631 2972, evren-ozbayoglu@utulsa.edu Group-1, Set-1, 50/50 For such a reservoir, allowing reservoir pressure to drop should maximize the size of the gas cap and provide maximum expansion capability; however, it will also reduce oil mobility. Hence, there are two opposing effects. The ultimate performance of a gas cap drive reservoir is not only influenced by the above, but also by the operational capacity to control gas cusping into the well and thus retain its volume in the gas cap. Combination Drive ‘Pure’ types of reservoirs are those reservoirs where only one drive system operates, for example, depletion drive only - no water drive or water drive only - no gas drive. It is rare for reservoirs to fit conveniently into this simple characterization. In many of them a combination of drive mechanisms can be activate during the production of fluids. Such reservoirs are called combination drives.
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