A rock sample has a length of 20.32 cm and a diameter of 5 cm. The pressure profile inside the core sample is given below, where nitrogen of viscosity 0.0178 cP is flowing at a constant rate of 55 cm³/s. What is the permeability of the sample if the flow is in accordance with Darcy's law?

A rock sample has a length of 20.32 cm and a diameter of 5 cm. The pressure profile inside the core sample is given below, where nitrogen of viscosity 0.0178 cP is flowing at a constant rate of 55 cm³/s. What is the permeability of the sample if the flow is in accordance with Darcy's law?

Principles of Geotechnical Engineering (MindTap Course List)

9th Edition

ISBN:9781305970939

Author:Braja M. Das, Khaled Sobhan

Publisher:Braja M. Das, Khaled Sobhan

Chapter7: Permeability

Section: Chapter Questions

Problem 7.3P

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Concept explainers

Field applications of hydraulic conductivity

Hydraulic conductivity is one of the hydraulic properties of soil defined as a measurement of the ability of a porous medium to permit water movement or fluid flow through it. It is denoted by the letter K. It is influenced by the density and viscosity of the fluid. It is also called permeability. Hydraulic conductivity is defined as the ratio of velocity to the hydraulic gradient. The different methods used to determine the hydraulic conductivity are laboratory methods (constant head permeability tests and falling head tests), in-situ field methods (pumping in and pumping out tests), small scale field tests (infiltration tests and slug tests), and indirect methods such as estimation from grain size, consolidation test data, and horizontal capillary test. The pedotransfer function (PTF) method is a specific empirical estimating approach employed in the soil sciences is also used to determine the hydraulic conductivity of the soil.

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Transcribed Image Text:Question 4.5 A rock sample has a length of 20.32 cm and a diameter of 5 cm. The pressure profile inside the core sample is given below, where nitrogen of viscosity 0.0178 cP is flowing at a constant rate of 55 cm³/s. What is the permeability of the sample if the flow is in accordance with Darcy's law? 450 400 350 - 300 250 - P [psig] 200 150 100 - 50 1 3. 4 7 8 9. Distance from inlet [in] 6

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