Approach to Solving the Inverse Problem of Filtration Based on Descriptive Regularization

被引：3
作者：
Abdullin, A. I. [1 ]
机构：
[1] Russian Acad Sci, Inst Mech & Engn, Kazan Sci Ctr, Kazan 420111, Russia
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2019年 / 40卷 / 11期
关键词：
inverse problem; nonlinear coefficient; descriptive regularization; filtration; stress sensitive reservoir; permeability;
D O I：
10.1134/S1995080219110027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper presents the results of a study of inverse problem for the nonlinear parabolic equation for the fluid filtration in the fractured media. An approach to solve the inverse problem by using the descriptive regularization method is proposed. A mathematical model for the 3-D flow of a fluid through a pressure sensitive naturally fractured formation, with pseudosteady state matrix-fracture flow is developed. This model includes the effects of wellbore storage and fluid flow in the wellbore. A computational algorithm based on the proposed approach to estimate the dependence of the fractures permeability on pressure from the results of hydrodynamic studies of horizontal well is developed.
引用
收藏
页码：1892 / 1896
页数：5
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