FEATURES OF SEEPAGE OF A LIQUID TO A CHINK IN THE CRACKED DEFORMABLE LAYER

被引：23

作者：

Aleroev, T. S. ^{[1
]}

Aleroeva, H. T. ^{[2
]}

Huang, Jianfei ^{[3
,4
]}

Nie, Ningming ^{[3
,4
]}

Tang, Yifa ^{[3
]}

Zhang, Siyan ^{[5
]}

机构：

[1] Acad Natl Econ Govt Russian Federat, Moscow 119571, Russia

[2] Moscow Tech Univ Commun & Informat, MTUCI, Moscow 111024, Russia

[3] Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China

[4] Chinese Acad Sci, Grad Sch, Beijing 100190, Peoples R China

[5] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING | 2010年 / 1卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Seepage flow; oil pool; fractional derivative; display line; numerical method;

D O I：

10.1142/S1793962310000195

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We establish a new model for seepage of a liquid to a chink in the cracked deformable layer, an initial value problem of nonlinear fractional differential equation with variable coefficients, then design a numerical scheme of order 2 to solve this initial value problem. This new model theoretically explains the operating thickness H of a layer depending on the values of pressure gradient on the whole chink rather than on one point, which is practiced by a large amount of data. Compared with the Dontsov equation, our fractional model considers more aspects of the whole process. The earlier rejected results can also be considered in the display lines of the fractional model.

引用

页码：333 / 347

页数：15