A mathematical model is presented for advective-diffusive-reactive solute transport due to
non-Newtonian fluid flows in a fracture surrounded by a tight porous medium. The …

This paper proposes a composite model to investigate the pressure behavior and production
performance of a multi-wing hydraulically fractured multiple fractured vertical well (MFVW) in …

We study the role of a hydraulic fracture on the pressure transient behavior of a vertical well
producing from a bounded (or finite) dual-porosity formation. A combination of Laplace …

Fluid flow in porous media is very important in a wide range of science and engineering
applications. The entire establishment of fluid flow application in porous media is based on …

Solute transport in a conduit (channel or tube) adjacent to a porous medium is drastically
influenced by the porous walls. However, an appropriate relationship between the porous …

The area of investigation in this study is designed around an improved understanding of
fundamentals of the diffusive leakage of brine from a storage aquifer into overlying and …

In this paper, stability analysis of a fractional-order linear system described by the Caputo–
Fabrizio (CF) derivative is studied. In order to solve the problem, character equation of the …

Many challenges in different applied fields of research, such as materials science,
viscoelasticity, biological sciences, physics, and mechanical engineering, require the study …

Abstract Development of horizontal drilling and multi-stage fracturing technologies makes
the production of unconventional reservoirs economically and practically feasible. We study …

The diffusive leakage rate (DLR) of brine from a finite fractured aquifer into intact overlying
and underlying layers during geosequestration of carbon dioxide is modeled using a two …