A Conjugate Gradient Method for Inverse Problems of Non-linear Coupled Diffusion Equations. (September 2020)

• Record Type: Journal Article
• Authors: Shuai, Wang; Baiyan, Xu; Tao, Liu
• Is Part Of: Journal of physics. Volume 1634(2020)
• Publication Date: 2020-09
• Subjects: Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/1634/1/012165
• Languages: English
• ISSNs: 1742-6588

Abstract

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.