AN APPROXIMATE ANALYTICAL SOLUTION FOR HYDRAULIC FRACTURE OPENING UNDER NON-UNIFORM INTERNAL PRESSURE

被引：1

作者：

Li, Kairui ^{[1
]}

Smirnov, N. N. ^{[1
,2
]}

Pestov, D. A. ^{[1
,2
]}

Qi, Chengzhi ^{[3
]}

Kiselev, A. B. ^{[1
,2
]}

机构：

[1] Lomonosov Moscow State Univ, Leninskie Gory 1, Moscow 119991, Russia

[2] Russian Acad Sci, Sci Res Inst Syst Anal, Nakhimovskiy Str 36-1, Moscow 117218, Russia

[3] Beijing Univ Civil Engn & Architecture, Beijing High Inst Res Ctr Engn Struct & New Mat, Beijing 100044, Peoples R China

来源：

MATERIALS PHYSICS AND MECHANICS | 2020年 / 44卷 / 03期

关键词：

hydraulic-fracturing; fracture opening; analytical solution; Bessel function; FLUID-DRIVEN FRACTURE; PLANE-STRAIN PROPAGATION; TIP REGION; SIMULATION;

D O I：

10.18720/MPM.4432020_2

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Because of the special non-uniform pressure distribution in hydraulic fracture, an especial hypothesis is proposed to get an approximate solution for the fracture opening, which satisfies the mixed boundary conditions on the fracture edges with the use of Bessel function integral properties. Error analysis of this approximate solution compared with the accurate solution is carried out. It is proved that the approximate solution is in good agreement with the accurate solution under the condition of this special pressure distribution in hydraulic-fracturing.

引用

页码：288 / 305

页数：18

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