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What Is Geometric Similarity Groups?

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Geometric similarity groups can be satisfied by considering pressure drop, gravitational and viscous forces are different for model and prototype. This condition requires different porous media. Pujol and Boberg (1972) proposed this approach which allows scaling requirements should be satisfied if violates some constitutive relationships, constraints and boundary conditions. Saturation pressure and saturation temperature relationship for steam flooding process cannot be properly scaled by this method, which will ultimately mislead the heat losses from the steam zone. Different steam properties which are largely depend on pressure will not be scaled properly. As different porous medium is considered, so the fluid saturations and relative …show more content…

Another limitation is that it cannot scaled dispersion effects if the flow rate is very high. The implementation of these scaling criteria for a model can reduced the length by a scaling factor of ‘a’. 1. The value of ϕ, s_w,s_o,s_g, ∆p ,T,∆T are remained same 2. The values of H,U_t should be reduced by a factor of a 3. The value of t, should be reduced by a factor of a^((2/(α-1)) ) This approach is restricted to processes where gravitational force is not much important such as thin formations with high flow rates. Diffusion effects and pvt properties are scale well for steam flooding with additives. Approach 3 Same Fluids, Same Pressure Drop, Same Porous Media, Relaxed Geometric Similarity The advantage of using same porous medium, same fluid and similar pressure and temperature conditions with proper scaling of the gravitational forces allows the geometric similarity should be relaxed. If the pressure gradient is low due to capillary and viscous forces, then capillary and viscous forces can be scaled for the horizontal well. The vertical direction heat conduction, dispersion effects, and capillary number are not properly scaled. The implementation of these scaling criteria for a model can reduce the length by a scaling factor of ‘a’. 1. The value of ϕ, s_w,s_o,s_g, ∆p p_wR ,T,∆T are remained same 2. The values of H, should be reduced by a factor of ‘a’ 3. The reservoir should be horizontal 4. The value of t, should be reduced by a factor

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