A CLASS OF PARAMETER-ESTIMATION TECHNIQUES FOR FLUID-FLOW IN POROUS-MEDIA

被引：78

作者：

EWING, RE

LIN, T

机构：

[1] Department of Mathematics, University of Wyoming, Laramie, WY

[2] Department of Mathematics, Virginia Polytechnic Institute, State University, Blacksburg, VA

来源：

ADVANCES IN WATER RESOURCES | 1991年 / 14卷 / 02期

关键词：

INVERSE PROBLEMS; POROUS MEDIA FLOW; DIRECT METHODS;

D O I：

10.1016/0309-1708(91)90055-S

中图分类号：

TV21 [水资源调查与水利规划];

学科分类号：

081501 ;

摘要：

In this paper, we consider how some parameter estimation inverse problems of fluid flow in porous media can be solved without iteratively solving the related forward problems many times. For spatially-dependent parameters, hyperbolic perturbation is used to enforce stability. The temporally-dependent parameters are computed via a nonclassical partial differential equation. The methods presented are considerably less time consuming that the iterative methods. Several numerical experiments are carried out to show the stability, the convergence and the dependence of the solution upon the error in the data.

引用

页码：89 / 97

页数：9

共 16 条

[1]

Banks, Kunisch, Estimation Techniques for Distributed Parameter Systems, (1989)

[2]

Beck, Blackwell, St. Clair, Inverse Heat Conduction, (1985)

[3]

Cannon, Yin, A class of non-linear non-classical parabolic equations, Journal of Differential Equations, 79, 2, pp. 266-288, (1989)

[4]

Chavent, Dupuy, Lemonnier, History matching by use of optimal control theory, Soc. Petrol. Eng. J., 15, pp. 74-86, (1975)

[5]

Chrysikopoulos, Kitanidis, Roberts, Analysis of one-dimensional solute transport through porous media with spatially variable retardation factor, Water Resources Research, 26, 3, pp. 437-446, (1990)

[6]

Ewing, George, Identification and control of distributed parameters in porous media flow, Distributed Parameter Systems, 70, pp. 145-166, (1985)

[7]

Ewing, Lin, A direct numerical method for an inverse problem of the heat equation via hyperbolic perturbation, Proc. 27th IEEE Conf. on Decision and Control, pp. 240-244, (1988)

[8]

Ewing, Lin, Parameter identification problems in single-phase and two-phase flow, Proc. 14th Int. Conf. on Control of Distributed Parameter Systems, pp. 85-108, (1989)

[9]

Ewing, Lin, Falk, Inverse and ill-posed problems in reservoir simulation, Inverse and Ill-Posed Problems, pp. 483-497, (1987)

[10]

Kunisch, White, Regularity properties and strict complementarity of the output-least-squares approach to parameter estimation in parabolic equations, Inverse Problems, 5, pp. 13-33, (1988)

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