A review of analytical and semi-analytical fluid flow models for ultra-tight hydrocarbon reservoirs

W Wang, D Fan, G Sheng, Z Chen, Y Su - Fuel, 2019 - Elsevier
In the last decade, numerous approaches, eg, analytical and semi-analytical pressure
solutions, production decline curve, reservoir-scale numerical models, have been used to …

Performance of horizontal wells in composite tight gas reservoirs considering stress sensitivity

K Zhao, P Du - Advances in Geo-Energy Research, 2019 - yandy-ager.com
Tight gas reservoir (TGR) plays an important role in unconventional oil and gas resources.
The existing seepage models for TGR rarely consider the effects of heterogeneity, stress …

Anomalous diffusion approach and field application for fractured nano-porous reservoirs

A Albinali, E Ozkan - SPE Annual Technical Conference and Exhibition …, 2016 - onepetro.org
Anomalous diffusion concept is applied to model subdiffusive flow in heterogeneous,
nanoporous media. The basis of anomalous diffusion is discussed and interpreted for …

Experimental reproducibility and natural variability of hydraulic transport properties of fractured sandstone samples

S Frank, T Heinze, M Ribbers, S Wohnlich - Geosciences, 2020 - mdpi.com
Flow and transport processes in fractured systems are not yet fully understood, and it is
challenging to determine the respective parameters experimentally. Studies on 10 samples …

Analytical modeling of flow in highly disordered, fractured nano-porous reservoirs

A Albinali, E Ozkan - SPE Western Regional Meeting, 2016 - onepetro.org
Conventional porous-medium-flow models are not suitable for naturally fractured, nano-
porous reservoirs where the conditions of the continuum assumption do not hold. Due to the …

Molecular communication in fractional diffusive channel

L Chouhan, PK Sharma, A Noel - IEEE Communications …, 2020 - ieeexplore.ieee.org
The molecular communication system with anomalous/fractional diffusion inside a one-
dimensional (1-D) environment is considered. The time-dependent diffusivity is incorporated …

Fractional-derivative models for non-Fickian transport in a single fracture and its extension

X Li, Y Zhang, DM Reeves, C Zheng - Journal of Hydrology, 2020 - Elsevier
Fractures are ubiquitous in brittle geological media, providing critical paths for pollutant
transport. Analytical solutions describing Fickian diffusion of pollutants in a single fracture or …

Modeling of Gas-Liquid Anomalous Diffusion in Undersaturated and Saturated Unconventional Reservoirs and Its Effect on Pressure and Rate Transient Responses

G Yildirim, E Ozkan, V Artus - SPE Annual Technical Conference and …, 2023 - onepetro.org
This study presents a one-dimensional numerical model for anomalous diffusion of three-
phase, oil-water-gas, flow in a fractured, nanoporous medium. The focus is to address the …

Time-fractional fabric to quantify non-Fickian diffusion in porous media: New vision from previous studies

OO Zhokh, PE Strizhak - … in Nonlinear Science and Numerical Simulation, 2024 - Elsevier
The diffusion kinetics of different substances in porous media is a priori described by the
second Fick's law of diffusion. Herein, we demonstrate that such a description sometimes …

A fractional decline model accounting for complete sequence of regimes for production from fractured unconventional reservoirs

S Liu, PP Valkó - Transport in Porous Media, 2021 - Springer
On the basis of a well-based model (Model I) developed in a previous work (Liu and Valkó in
SPE J 2019. https://doi. org/10.2118/197049-PA), in which a fractional production decline …