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 …

Abstract Development of numerical methods for hydraulic fracture simulation has
accelerated in the past two decades. Recent advances in hydraulic fracture modeling and …

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 …

Hydraulic fracturing of unconventional oil/gas shales has changed the energy landscape of
the US Recovery of hydrocarbons from tight, hydraulically fractured shales is a highly …

This paper considers the problem of a fluid-driven fracture propagating in a permeable
poroelastic medium. We develop a zero-thickness finite element to model the fracture. The …

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 …

The recently introduced phase-field approach for pressurized fractures in a porous medium
offers various attractive computational features for numerical simulations of cracks such as …

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 …

Multi-stage fracturing is the current preferred method of completion of horizontal wells in
unconventional hydrocarbon reservoirs. Its core component consists in simultaneously …