Prediction method of full order permeability tensor in porous media

Abstract

The invention provides a prediction method for the full-order permeability tensor of a porous medium. The prediction method comprises the steps that firstly, a control model of flowing of fluid in the porous medium is constructed, and the porous medium is divided into a plurality of staggered grids; secondly, the fluid flows in the porous medium in the first direction, and the control model is solved through the finite difference method so that local velocity components uli,j and vli,j of different points in the grids can be determined; thirdly, according to the local velocity components u1i,j and v1i,j, the first darcy velocities u1D and v1D of the fluid are determined through the piecewise quadratic parabola numerical integration method; fourthly, the fluid flows in the porous medium in the second direction perpendicular to the first direction, and the control model is solved through the finite difference method so that local velocity components u2i,j and v2i,j of different points in the grids can be determined; fifthly, according to the local velocity components u2i,j and v2i,j, the second darcy velocities u2D and v2D of the fluid are determined through the piecewise quadratic parabola numerical integration method; sixthly, the full-order permeability tensor of the fluid in the porous medium is determined according to the first darcy velocities and the second darcy velocities.

Description

technical field [0001] The invention relates to the technical field of permeability measurement, in particular to a method for predicting the full-order permeability tensor of porous media. Background technique [0002] Permeability is an important parameter that affects key properties such as seepage performance, dielectric strength, and thermophysical properties of porous media (such as oil reservoirs), and strongly affects basic research and process design in reservoir migration, fiber reinforcement, and cement slurry. Especially in reservoir migration, the change of permeability can span several orders of magnitude, which plays an important role in the movement law of underground oil and gas resources. Therefore, accurate prediction of penetration rate has been a hot topic in both industry and academia. Existing studies mostly focus on experimental testing, such as free space testing technology, coaxial probe technology, cavity resonance technology, transmission line te...

AI Technical Summary

Problems solved by technology

However, the traditional form of permeability is a diagonal tensor (sub-diagonal elements are 0), that is, the permeability is assumed to be symmetrical and isotropic, but in fact any component in the permeability tensor may not be 0. Therefore, the permeability Although the definition of is simple, it is very difficult to accurately predict it, and the existing experimental methods are difficult to achieve

Images