Luis X. Vivas-Cruz

Luis X. Vivas-Cruz
Center for Engineering and Industrial Development · mathematical modeling



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Additional affiliations
September 2016 - December 2017
Center for Engineering and Industrial Development
  • PhD Student


Publications (6)
Modeling of fluid flow considering radially symmetric reservoirs is common in groundwater science and petroleum engineering. The Hankel transform is suitable for solving boundary-value problems considering this flow geometry. However, there are few applications of this transform for reservoirs with a finite wellbore radius, despite there are formul...
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 $$ ^{CFC}_{\ \ \...
The joint Laplace-Hankel transform is used in order to add new solutions of fluid flow in a fractured reservoir for applications in oilfield production or groundwater studies. We consider four cases resulting from the following combination of boundary conditions of a reservoir model: constant terminal pressure or constant terminal rate and constant...
This work focuses mainly on the study of numerical solutions, which are obtained using the θ-method, of a generalized Warren and Root model that includes a second-order wave-like equation in its formulation. The solutions approximately describe the single-phase hydraulic head in fractures by considering the finite velocity of propagation by means o...
Full-text available
We exactly solved a Warren and Root-like model that considers telegraphic fluid flow, a constant hydraulic head at the bottomhole, and an infinite Euclidean reservoir with radial flux. Complex integrals on the Bromwich contour are used to obtain the exact solutions of the hydraulic head and flux. Given that the behavior of the propagation of the hy...
Full-text available
In this paper, we implement the Bayesian statistical inversion theory to obtain the solution for an inverse problem of growth data, using a fractional population growth model. We estimate the parameters in the model and we make a comparison between this model and an exponential one, based on an approximation of Bayes factor. A simulation study is c...


Cited By


Project (1)
Model the fluid flow in double and triple porosity media