2014
DOI: 10.1016/j.advwatres.2014.10.003
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Unified fractional differential approach for transient interporosity flow in naturally fractured media

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Cited by 5 publications
(4 citation statements)
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References 69 publications
(128 reference statements)
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“…(36), which is valid for any value of q ext considered. Notice that some flow problems with NN-BCs have been successfully solved with the Weber transform (Babak and Azaiez, 2014;Tong and Hu, 2010;Zhang and Tong, 2007).…”
Section: Existence Of Stationary Solutionsmentioning
confidence: 99%
See 1 more Smart Citation
“…(36), which is valid for any value of q ext considered. Notice that some flow problems with NN-BCs have been successfully solved with the Weber transform (Babak and Azaiez, 2014;Tong and Hu, 2010;Zhang and Tong, 2007).…”
Section: Existence Of Stationary Solutionsmentioning
confidence: 99%
“…In addition to the Hankel transform, in order to solve partial differential equations, the Laplace transforms can be jointly used, taking us to the joint Laplace-Hankel transform, or JLHT (Debnath and Bhatta, 2014;Poularikas, 2010). An application in models of fluid flow in reservoirs is found in Babak and Azaiez (2014), where finite and infinite reservoirs are considered, each of them having a centered well with an infinitely small radius. For hollow-disk geometry, the finite Hankel transform was used to solve a triple-porosity fluid flow model with a constant pressure and zero flux at the inner and outer boundaries, respectively, and considering a nonzero well radius (Clossman, 1975).…”
Section: Introductionmentioning
confidence: 99%
“…Flow model in reservoir. The partial differential equation of pressure diffusion for matrix with the assumption of an unsteady state flow in dimensionless form can be written as follows (Hassanzadeh et al, 2009;Babak and Azaiez 2014;Wang et al, 2015) For slab-shaped matrix blocks…”
Section: Point Source Functionmentioning
confidence: 99%
“…On the other hand, the other dual-porosity model was widely used on the basis of the assumption of a transient exchange term between matrix and fracture. Several researchers have presented different geometric shapes of matrix blocks, such as slab, cylindrical and spherical matrix blocks, to describe the unsteady state exchange (de SWAAN, 1976;Kucuk andSawyer 1980, Cinco-Ley andSamaniego 1982;Olarewaju and Lee 1986;Celis et al, 1994;Hassanzadeh et al, 2009;Babak and Azaiez 2014;Wang et al, 2015). The biggest difference between the pseudosteady state and nonsteady state flow is that the pressure derivative curve of the former has a deeper trough like a bell-shape than the latter one being relatively flat at the transition flow period.…”
Section: Introductionmentioning
confidence: 99%