Open AccessA Conjugate Gradient Method for Inverse Problems of Non-linear Coupled Diffusion Equations
Author(s) -
Shuai Wang,
Xu Baiyan,
Tao Liu
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1634/1/012165
Subject(s) - conjugate gradient method , inverse problem , inverse , nonlinear conjugate gradient method , nonlinear system , mathematics , diffusion , diffusion equation , computer science , mathematical analysis , mathematical optimization , physics , gradient descent , geometry , artificial neural network , engineering , metric (unit) , operations management , quantum mechanics , machine learning , thermodynamics
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.