Pressure responses of a vertically hydraulic fractured well in a reservoir with fractal structure

DOI10.1016/j.amc.2014.12.124zbMath1338.76120DBLPjournals/amc/RazminiaRT15arXiv1502.03944OpenAlexW2006165931WikidataQ57650656 ScholiaQ57650656MaRDI QIDQ300002

Abolhassan Razminia, Kambiz Razminia, Delfim F. M. Torres

Publication date: 23 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.03944

zbMATH Keywords

fractional derivativesfractal geometryfractal reservoirvertically hydraulic fractured well

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05)

Related Items (9)

The elastic boundary value problem of extended modified Bessel equation and its application in fractal homogeneous reservoir ⋮ Convolution integral for fractional diffusion equation ⋮ Numerical schemes for anomalous diffusion of single-phase fluids in porous media ⋮ On initial value problems of fractal delay equations ⋮ Application of fractal geometry to describe reservoirs with complex structures ⋮ Fractal-fractional modelling of partially penetrating wells ⋮ On boundary value problems for impulsive fractional differential equations ⋮ Global stability of a Caputo fractional SIRS model with general incidence rate ⋮ Similar constructing method for solving nonlinear spherical seepage model with quadratic pressure gradient of three-region composite fractal reservoir

Cites Work

• Analysis of diffusion process in fractured reservoirs using fractional derivative approach
• Similar construction method of solution for solving the mathematical model of fractal reservoir with spherical flow

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