Theoretical analysis of a model of fluid flow in a reservoir with the Caputo-Fabrizio operator
Abstract
We obtain the exact analytic solutions of a fluid flow model that includes the Caputo-Fabrizio operator and new constitutive equations in its definition. Formulas are obtained for a slightly compressible fluid in an infinite single-porosity reservoir with the inner boundary having a constant pressure. The flow equation is given by
- Publication:
-
Communications in Nonlinear Science and Numerical Simulations
- Pub Date:
- May 2020
- DOI:
- 10.1016/j.cnsns.2020.105186
- Bibcode:
- 2020CNSNS..8405186V
- Keywords:
-
- Fluid flow in a reservoir;
- Generalized Cattaneo equation;
- Caputo-Fabrizio operator;
- Mean square displacement