The numerical asymptotic solution to initial condition problem of preexisting plane-strain hydraulic fracture with fluid lag

被引：4

作者：

Li, Kairui ^{[1
,2
]}

Smirnov, N. N. ^{[3
]}

Qi, Chengzhi ^{[4
]}

Kiselev, A. B. ^{[3
]}

Pestov, D. A. ^{[3
]}

机构：

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

[2] Army Engn Univ PLA, Fac Def Engn, State Key Lab Explos & Impact & Disaster Prevent, Nanjing 210007, Peoples R China

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

[4] Beijing Univ Civil Engn & Architecture, Int Cooperat Base Transportat Infrastruct Constru, Beijing 100044, Peoples R China

来源：

ENGINEERING FRACTURE MECHANICS | 2020年 / 239卷

关键词：

Fracturing; Initial condition; Preexisting hydraulic fracture; Numerical method; Asymptotic solution; SELF-SIMILAR SOLUTIONS; DRIVEN FRACTURE; TIP REGION; PROPAGATION; SIMULATION; MODEL; INJECTION; CAVITY;

D O I：

10.1016/j.engfracmech.2020.107296

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The numerical asymptotic solution to the initial condition problem (early-time solution) of the pre-existing plane-strain hydraulic fracture with a fluid lag is obtained under different levels of in-situ stress. This solution can provide a more accurate initial condition for simulation of hydraulic modelling. The perturbation method is applied to calculate time-derivative terms of the governing equations based on the derivative definition, and the double-iteration method is used to seek more accurate values of these time-derivative terms. Besides, the profiles of dimensionless fracture opening and dimensionless net pressure are obtained under different levels of in-situ stress, and a simplified self-similar model with no time derivative terms is put forward, because time-derivative terms can be neglected under the large in-situ stress.

引用

页数：14