A Conjugate Gradient Method for Inverse Problems of Non-linear Coupled Diffusion Equations

Abstract

In many fields there are many problems called inverse problems, which infer the reasons from the observations. The inverse problem of nonlinear diffusion equations plays a crucial role in the numerical simulation of reservoirs. This article constructs a conjugate gradient method to solve the inverse problem of a nonlinear diffusion equation within oil reservoir simulation. The numerical simulation is performed, and the results show the effectiveness of the method.