Abstract

Defining the trajectory of hydraulic fractures crossing bedding planes and other fractures is a significant issue in determining the effectiveness of the stimulation. In this work, a damage evolution law is used to describe the initiation and propagation of the fracture. The model couples rock deformation and gas seepage using the finite element method and is validated against classical theoretical analysis. The simulation results define four basic intersection scenarios between the fluid-driven and preexisting fractures: (a) inserting—the hydraulic fracture inserts into a bedding plane and continues to propagate along it; (b) L-shaped crossing—the hydraulic fracture approaches the fracture/bedding plane then branches into the plane without crossing it; (c) T-shaped crossing—the hydraulic fracture approaches the fracture/bedding plane, branches into it, and crosses through it; (d) direct crossing—the hydraulic fracture crosses one or more bedding planes without branching into them. The intersection scenario changes from (a) → (b) → (c) → (d) in specimens with horizontal bedding planes when the stress ratio β ( β = σ y / σ x ) increases from 0.2 to 5. Similarly, the intersection type changes from (d) → (c) → (a) with an increase in the bedding plane angle α (0° → 90°). Stiffness of the bedding planes also exerts a significant influence on the propagation of hydraulic fractures. As the stiffness ratio E 1 ¯ / E 2 ¯ increases from 0.1 to 0.4 and 0.8, the seepage area decreases from 22.2% to 41.8%, and the intersection type changes from a T-shaped crossing to a direct crossing.

Highlights

  • The production of environmentally friendly unconventional gas has increased rapidly in recent years including shale gas, gas from tight sandstones, and coal bed methane [1,2,3,4], obviating the recovery of hydrocarbons from conventional reservoirs and coal [5, 6]

  • A series of numerical simulation tests were conducted to study the impact of stress ratio on the propagation of hydraulic fractures

  • Based on the simulation results above, four types of intersection scenarios between hydraulic fractures and bedding planes are shown in Figure 10. (a) Inserting: the hydraulic fracture inserts into a bedding plane and continues to propagate along it, i.e., the hydraulic fracture is arrested by the bedding plane. (b) L-shaped crossing: the hydraulic fracture approaches the fracture/bedding plane branches into the plane without crossing it. (c) T-shaped crossing: the hydraulic fracture approaches the fracture/bedding plane, branches into it, and crosses through it. (d) Direct crossing: the hydraulic fracture crosses one or more bedding planes without branching into them

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Summary

Introduction

The production of environmentally friendly unconventional gas has increased rapidly in recent years including shale gas, gas from tight sandstones, and coal bed methane [1,2,3,4], obviating the recovery of hydrocarbons from conventional reservoirs and coal [5, 6]. A variety of studies focus on the behavior of hydraulic fractures intersecting preexisting bedding planes, including theoretical analyses, laboratory experiments, and numerical simulations. Laboratory hydraulic fracturing experiments conducted on rock containing bedding planes investigate the controls on intersection behavior from different perspectives. Numerical simulation is an effective way to study the intersection relation between hydraulic fractures and bedding planes. Such approaches have explored the physics of fracture-inhomogeneity interactions, indicating that hydraulic fracture branching and diversion are the result of inhomogeneity [37, 38]. A coupled hydraulic-mechanical model is proposed where a damage evolution law is employed It is solved by FEM using COMSOL and MATLAB and utilized to simulate the fracturing processes. The intersection scenarios between hydraulic fractures and bedding planes under several conditions are numerically researched

Governing Equations
Verification and Implementation of the Proposed Numerical Model
Numerical Settings
Results and Discussion
Effect of Stress Ratio
Conclusions
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