Along with horizontal drilling techniques, multi-stage hydraulic fracturing has improved shale
gas production significantly in past decades. In order to understand the mechanism of …

Hydraulic fractures represent a particular class of tensile fractures that propagate in solid
media under pre-existing compressive stresses as a result of internal pressurization by an …

Shale reservoirs are extensively exploited using hydraulic fracturing, which forms multiple
cracks that connect with the existing natural fractures to create a continuous path for the gas …

We provide a brief historical background of the development of hydraulic fracturing models
for use in the petroleum and other industries. We discuss scaling laws and the propagation …

This paper reviews recent results of a research program aimed at developing a theoretical
framework to understand and predict the different modes of propagation of a fluid-driven …

This paper presents an analysis of the propagation of a penny-shaped hydraulic fracture in
an impermeable elastic rock. The fracture is driven by an incompressible Newtonian fluid …

We describe coupled algorithms that use the Extended Finite Element Method (XFEM) to
solve the elastic crack component of the elasto-hydrodynamic equations that govern the …

The focus of this paper is on constructing the solution for a semi-infinite hydraulic crack for
arbitrary toughness, which accounts for the presence of a lag of a priori unknown length …

A fully coupled 3D hydro-mechanical model with real porous seepage is presented for
simulating hydraulic fracturing. In this model, fluid flow in a fracture is expressed by 2D …

Placing multiple hydraulic fractures at intervals along horizontal wells has proved to be a
highly effective method for stimulation. However, the mechanical interaction between a …