Large-Scale Numerical Simulation and Application of Hydraulic Fracturing in Soil

doi:10.16183/j.cnki.jsjtu.2024.180

Abstract

Abstract:

In the field of geotechnical engineering, it is of great significance to analyze the law and mechanism of soil hydraulic fracturing, which can provide a basis for the study of the diffusion and distribution of splitting grouting veins and guide practical engineering. In this paper, a three-dimensional finite element program is developed by using block diagonal preprocessing, preconditioned symmetric quasi-minimal residual (PSQMR) iterative method, and improved sparse matrix vector multiplication parallel algorithm, which enables large-scale Biot consolidation finite element calculation, realizing the finite element solution based on CPU serial computing platform and GPU parallel computing platform, greatly improving the calculation scale, and accomplishing large scale finite element calculation on personal computer. By comparing the numerical simulation results, experimental simulation results, and theoretical analysis with the calculation results, the correctness of the calculation method is verified, which provides a numerical simulation tool for the study of hydraulic fracturing in soil.

Key words: hydraulic fracturing, block diagonal preprocessing, preconditioned symmetric quasi-minimal residual (PSQMR) iterative method, sparse matrix, parallel computing

CLC Number:

TU432

WANG Feng, CHEN Tielin, FAN Rong, LI Yuepeng. Large-Scale Numerical Simulation and Application of Hydraulic Fracturing in Soil[J]. Journal of Shanghai Jiao Tong University, 2026, 60(3): 463-472.

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参数	取值
C/kPa	60
ϕ/(°)	30
K	50
K_u	100
n_s	0.6
R_f	0.95
K_b/kPa^-1	20
m_c	0.5

出浆口	起裂压力/kPa,终压/kPa
出浆口	1号孔	2号孔	3号孔	4号孔
a	175,120	181,129	181,123	188,143
b	169,109	146,115	159,118	209,137
c	152,113	157,119	166,143	186,126
d	141,103	145,110	172,137	209,122