Notes on Hydraulic Fracture Mechanics

TL;DR

This paper explores the mechanics of hydraulic fracture propagation, focusing on near-tip physical mechanisms and how they influence different fracture regimes and geometries, providing a simplified, logical introduction to the topic.

Contribution

It offers a clear, physics-based framework for understanding hydraulic fracture mechanics, emphasizing near-tip regimes and their impact on fracture propagation.

Findings

Different physical mechanisms lead to various fracture propagation regimes.

Near-tip regimes determine the propagation of finite fractures in simple geometries.

The notes provide a simplified, logical approach to complex fracture mechanics.

Abstract

These notes address the mechanics of propagating hydraulic fractures (HF). In the first part, we focus on how different physical mechanisms (dissipation in fluid and solid, fluid storage in fracture and its exchange with permeable rock, crack elasticity) manifest near the fracture tip and lead to a `zoo' of fracture propagation regimes, as correspond to the different coupling of predominant mechanisms depending on material parameters and fracture propagation speed. In the second part, we illustrate how different near-tip regimes dictate the propagation of finite fractures of simple geometries (e.g. 2D plane-strain, or 3D radial cracks) driven by fluid injection at the center of the crack. These notes are not a review of the research on the topic, which has seen tremendous renewed interest in the last 20 years or so, (for a review see, e.g., Detournay [2016]); but rather an attempt to introduce the mechanics and physics of HF in a simple and hopefully-logical way, from the fracture tip to finite fracture propagation.