Parameter Estimation for the Reduced Fracture Model via a Direct Filter Method
Numerical Analysis
2025-02-25 v1 Numerical Analysis
Probability
Abstract
In this work, we present a numerical method that provides accurate real-time detection for the widths of the fractures in a fractured porous medium based on observational data on porous medium fluid mass and velocity. To achieve this task, an inverse problem is formulated by first constructing a forward formulation based on the reduced fracture model of the diffusion equation. A parameter estimation problem is then performed online by utilizing a direct filter method. Numerical experiments are carried out to demonstrate the accuracy of our method in approximating the target parameters.
Cite
@article{arxiv.2409.16458,
title = {Parameter Estimation for the Reduced Fracture Model via a Direct Filter Method},
author = {Phuoc Toan Huynh and Feng Bao and Thi-Thao-Phuong Hoang},
journal= {arXiv preprint arXiv:2409.16458},
year = {2025}
}