Modeling of anomalous gas transport in heterogeneous unconventional reservoirs using a nonlinear generalized diffusivity equation

J Garcez, M Zhang, LF Ayala - Fuel, 2023 - Elsevier
Exploitation of unconventional reservoirs is enabled by multi-fractured horizontal wells.
Hydraulic fractures are created with the purpose of enhancing fluid conductivity in such low …

Physics-preserving averaging scheme based on grünwald-letnikov formula for gas flow in fractured media

SZ Amir, S Sun - Journal of Petroleum Science and Engineering, 2018 - Elsevier
The heterogeneous natures of rock fabrics, due to the existence of multi-scale fractures and
geological formations, led to the deviations from unity in the flux-equations fractional …

Analysis of subdiffusion in disordered and fractured media using a Grünwald-Letnikov fractional calculus model

AD Obembe, SA Abu-Khamsin, ME Hossain… - Computational …, 2018 - Springer
The increasing applications of fractional calculus in simulating the anomalous transport
behavior in disordered and fractured heterogeneous porous media has grown rapidly over …

A fractional diffusion model for single-well simulation in geological media

AD Obembe - Journal of Petroleum Science and Engineering, 2020 - Elsevier
In this scholarly work, a novel mathematical model for single-phase, single-well simulation in
hydrocarbon reservoirs was established using the fractional calculus theory. Specifically, the …

Integral solution-based modeling of gas transport in unconventional reservoirs

J Sant'Anna Garcez Nobrega - 2023 - etda.libraries.psu.edu
Modeling of gas transport through porous media has received increasing attention since the
onset of production from unconventional reservoirs. One direct application of analytical …

Evaluation of Non-Fourier Heat Transfer on Temperature Evolution in an Aquifer Thermal Energy Storage System

AD Obembe, ME Hossain, SA Abu-Khamsin - Transport in Porous Media, 2018 - Springer
The heat transport in fractured porous rocks is classically modeled employing the advection–
dispersion equation (ADE). However, the nature of heat transfer in fractured reservoir rocks …

[BOK][B] Integral Solution-Based Modeling of Gas Transport in Unconventional Reservoirs

JSAG Nobrega - 2022 - search.proquest.com
Modeling of gas transport through porous media has received increasing attention since the
onset of production from unconventional reservoirs. One direct application of analytical …