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arXiv · 2409.16458

Parameter Estimation for the Reduced Fracture Model via a Direct Filter Method

Phuoc Toan Huynh·Feng Bao·Thi-Thao-Phuong Hoang
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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.

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Phuoc Toan Huynh, Feng Bao, Thi-Thao-Phuong Hoang. 2024-09-24. Parameter Estimation for the Reduced Fracture Model via a Direct Filter Method. https://doi.org/10.1615/jmachlearnmodelcomput.2024056400

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