基于PHF-LSM法非均质岩石水力裂缝等效几何特征计算方法

doi:10.12068/j.issn.1005-3026.2023.12.011

摘要/Abstract

摘要： 基于渗透率修正和水平集法的水力压裂数值计算模型(permeability-based hydraulic fracture-level set method，PHF-LSM)是以Biot固结理论为基础建立一种弥散裂缝模型. 模型是通过弱化开裂及损伤区域岩石材料性质来模拟裂缝的发展过程，因此求解过程中无法给出水力裂缝的几何特征.依据水力裂缝传播过程中的平均有效应力场分布建立PHF-LSM方法的水力裂缝的等效路径和等效高度；依据等效传播路径周围位移场计算水力裂缝的等效开度，并通过与KGD理论模型对比进行验证所提方法的有效性.计算了均质和非均质岩石材料中裂缝等效几何特征的动态发展特性.结果表明，所提出的等效计算方法弥补了PHF-LSM无法得到水力裂缝几何特征的不足.

关键词: 水力压裂；PHF-LSM；等效几何特征；弥散裂缝模型；非均质岩石

Abstract: The permeability-based hydraulic fracture-level set method(PHF-LSM)is a smeared fracture model based on Biot consolidation theory. The model simulates the fracture development process by weakening the fracture and rock material properties in the damaged area， so the geometric characteristics of hydraulic fractures cannot be given in the solution process. According to the average effective stress field distribution during hydraulic fracture propagation， the equivalent path and equivalent height of hydraulic fracture by PHF-LSM method are established in this paper. According to the displacement field around the equivalent propagation path， the equivalent opening of hydraulic fractures is calculated， and the effectiveness of the proposed method is verified by comparing with KGD theoretical model. At the same time， the dynamic development characteristics of equivalent geometric characteristics for fractures in both homogeneous and heterogeneous rock are calculated. The results demonstrate that the established equivalent calculation method compensates for the deficiency of PHF-LSM by allowing for the determination of geometric characteristics of hydraulic fractures.

Key words: hydraulic fracturing; PHF-LSM; equivalent geometric characteristics; crack propagation; heterogeneous rock

中图分类号:

TU443

李明，黄雷朋，刘士乙，梁力. 基于PHF-LSM法非均质岩石水力裂缝等效几何特征计算方法[J]. 东北大学学报（自然科学版）, 2023, 44(12): 1751-1758.

LI Ming， HUANG Lei-peng， LIU Shi-yi， LIANG Li. Calculation Method for Equivalent Geometric Characteristics of Hydraulic Fractures in Heterogeneous Rock Based on PHF-LSM Method[J]. Journal of Northeastern University(Natural Science), 2023, 44(12): 1751-1758.

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