Parameter estimation for nonlinear diffusion problems by the constrained homotopy method

• Main Authors: Liu, Tao, Ding, Zijian, Yu, Jiayuan, Zhang, Wenwen
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2023
• Subjects: Science::Mathematics; Non-linear Diffusion Problem; Inversion
• Online Access: https://hdl.handle.net/10356/171714
• Institution: Nanyang Technological University

This paper studies a parameter estimation problem for the non-linear diffusion equation within multiphase porous media flow, which has important applications in the field of oil reservoir simulation. First, the given problem is transformed into an optimization problem by using optimal control framew...