Parameter estimation for nonlinear diffusion problems by the constrained homotopy method

Parameter estimation for nonlinear diffusion problems by the constrained homotopy method

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...

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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
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1717142023-11-10T15:40:39Z Parameter estimation for nonlinear diffusion problems by the constrained homotopy method Liu, Tao Ding, Zijian Yu, Jiayuan Zhang, Wenwen School of Electrical and Electronic Engineering Science::Mathematics Non-linear Diffusion Problem Inversion 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 framework and the constraints such as well logs, which can restrain noise and improve the quality of inversion, are introduced. Then we propose the widely convergent homotopy method, which makes natural use of constraints and incorporates Tikhonov regularization. The effectiveness of the proposed approach is demonstrated on illustrative examples. Published version This research was funded by the Natural Science Foundation of Hebei Province of China (A2020501007), the Fundamental Research Funds for the Central Universities (N2123015), the Open Fund Project of Marine Ecological Restoration and Smart Ocean Engineering Research Center of Hebei Province (HBMESO2321), the Technical Service Project of Eighth Geological Brigade of Hebei Bureau of Geology and Mineral Resources Exploration (KJ2022-021). 2023-11-06T03:25:58Z 2023-11-06T03:25:58Z 2023 Journal Article Liu, T., Ding, Z., Yu, J. & Zhang, W. (2023). Parameter estimation for nonlinear diffusion problems by the constrained homotopy method. Mathematics, 11(12), 2642-. https://dx.doi.org/10.3390/math11122642 2227-7390 https://hdl.handle.net/10356/171714 10.3390/math11122642 2-s2.0-85164120495 12 11 2642 en Mathematics © 2023 The authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/). application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Science::Mathematics
Non-linear Diffusion Problem
Inversion
spellingShingle Science::Mathematics
Non-linear Diffusion Problem
Inversion
Liu, Tao
Ding, Zijian
Yu, Jiayuan
Zhang, Wenwen
Parameter estimation for nonlinear diffusion problems by the constrained homotopy method
description 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 framework and the constraints such as well logs, which can restrain noise and improve the quality of inversion, are introduced. Then we propose the widely convergent homotopy method, which makes natural use of constraints and incorporates Tikhonov regularization. The effectiveness of the proposed approach is demonstrated on illustrative examples.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Liu, Tao
Ding, Zijian
Yu, Jiayuan
Zhang, Wenwen
format Article
author Liu, Tao
Ding, Zijian
Yu, Jiayuan
Zhang, Wenwen
author_sort Liu, Tao
title Parameter estimation for nonlinear diffusion problems by the constrained homotopy method
title_short Parameter estimation for nonlinear diffusion problems by the constrained homotopy method
title_full Parameter estimation for nonlinear diffusion problems by the constrained homotopy method
title_fullStr Parameter estimation for nonlinear diffusion problems by the constrained homotopy method
title_full_unstemmed Parameter estimation for nonlinear diffusion problems by the constrained homotopy method
title_sort parameter estimation for nonlinear diffusion problems by the constrained homotopy method
publishDate 2023
url https://hdl.handle.net/10356/171714
_version_ 1783955559975747584

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