2015/02/12 by Kambiz Razminia, Abolhassan Razminia, Delfim F. M. Torres · 1 citation
Chemical Engineering · Engineering · Mathematics · Physics and Astronomy · #Computer science #Fractal #Fractional Differential Equations Solutions #Fractional calculus #Geology #Geometry #Geotechnical engineering #Hydraulic Fracturing and Reservoir Analysis #Hydraulic fracturing #Mathematical analysis #Mathematics #Mechanics #Petroleum engineering #Physics #Rheology and Fluid Dynamics Studies #Transient (computer programming) #Wellbore #physics.flu-dyn #physics.geo-ph
paper · pdf · doi:10.1016/j.amc.2014.12.124
published as Appl. Math. Comput. 257 (2015), 374--380 · This is a preprint of a paper whose final and definite form is published in Applied Mathematics and Computation, ISSN: 0096-3003. Submitted 01/July/2014; revised 20/Dec/2014; accepted 29/Dec/2014. Published version available at http://dx.doi.org/10.1016/j.amc.2014.12.124
openalex publication_date 2015/02/12 · arxiv created 2015/02/13 · arxiv updated 2015/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We obtain an analytical solution for the pressure-transient behavior of a vertically hydraulic fractured well in a heterogeneous reservoir. The heterogeneity of the reservoir is modeled by using the concept of fractal geometry. Such reservoirs are called fractal reservoirs. According to the theory of fractional calculus, a temporal fractional derivative is applied to incorporate the memory properties of the fractal reservoir. The effect of different parameters on the computed wellbore pressure is fully investigated by various synthetic examples.