This document presents comprehensive historical accounts on the developments of finite
element methods (FEM) since 1941, with a specific emphasis on developments related to …

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 …

Groundwater resources are increasingly important as the main supply of fresh water for
household, industrial, and agricultural activities. However, overuse and depletion of these …

Abstract Supercritical carbon dioxide (ScCO 2)-based fracturing technology associating with
CO 2 enhanced shale gas recovery is a promising technology to reduce the water …

Mineral carbon storage in mafic and ultramafic rock masses has the potential to be an
effective and permanent mechanism to reduce anthropogenic CO2. Several successful pilot …

We present a novel phase field method for modeling hydraulic fracture propagation in
poroelastic media. In this approach, a new phase field evolution equation is derived to …

The line crack models, including linear elastic fracture mechanics (LEFM), cohesive crack
model (CCM), and extended finite element method (XFEM), rest on the century-old …

This manuscript introduces a unified mathematical framework to replicate both desiccation-
induced and hydraulic fracturing in low-permeable unsaturated porous materials observed …

The optimizations of hydraulic fracturing treatment parameters are widely studied. Three
optimization goals are usually pursued, ie, uniform fracture propagation, stimulated reservoir …

A hydro-mechanical-damage fully coupled numerical method is developed for simulations of
complicated quasi-brittle fracking in poroelastic media. A unified fluid continuity equation …