Parameter Estimation for the Reduced Fracture Model via a Direct Filter Method
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866908237657276416 |
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| author | Huynh, Phuoc Toan Bao, Feng Hoang, Thi-Thao-Phuong |
| author_facet | Huynh, Phuoc Toan Bao, Feng Hoang, Thi-Thao-Phuong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16458 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Parameter Estimation for the Reduced Fracture Model via a Direct Filter Method Huynh, Phuoc Toan Bao, Feng Hoang, Thi-Thao-Phuong Numerical Analysis Probability 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. |
| title | Parameter Estimation for the Reduced Fracture Model via a Direct Filter Method |
| topic | Numerical Analysis Probability |
| url | https://arxiv.org/abs/2409.16458 |