Alfredo González-Calderón

Fractional Partial Differential equations (FPDEs) are essential for modeling complex systems across various scientific and engineering areas. However, efficiently solving FPDEs presents significant computational challenges due to their inherent memory effects, often leading to increased execution times for numerical solutions. This study proposes a...

In this work, electrical resistivity tomography was carried out together with physical hydrogeology techniques to evaluate the karst aquifer in the northwest region of the Yucatán Peninsula in a study area near the western edge of the Ring of Cenotes of the Chicxulub Crater. In addition, based on a systematic compilation of open-access data of wate...

The performance of the hyperbolic-numerical inverse Laplace transform (hyperbolic-NILT) method is evaluated when it is used to solve time-fractional ordinary and partial differential equations. With this purpose, the formalistic fractionalization approach of Gompertz and diffusion equations are used as model problems, i.e., in the Gompertz and diff...

In this work we take up the molecular models generation for O2 and N2. This aim is achieved with the two center Lennard-Jones and two center ANC potentials, plus quadrupole interactions. We analyze the convenience to perform the fitting of potential functions to the experimental data of the second virial coefficient and then rescaling the energy we...

In this paper will use fractional calculus to analyze the model that describes a biofluid equipped with charged particles influenced by a magnetic field. For this purpose, the Atangana-Baleanu fractional operator in the Riemann-Liouville sense was used to solve the initial-boundary value problem. The fluid flow through a circular cylinder is influe...

A simple mathematical model for a multivalent macroions solution, next to a charged wall of planar geometry, is solved through a well-established integral equation theory. The macroions structure and the charge induced into the fluid are obtained, as a function to the distance to the electrode. The macroions adsorption to the surface and the induce...

The Yucatán Peninsula karst aquifer in southeastern Mexico is important because it is the only source of freshwater supply in the region. Along the eastern coast, the aquifer behaves as a shallow unconfined aquifer, and one of its main characteristics is the development of a complex network of karstic conduits. Electrical resistivity tomography (ER...

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 extended law of corresponding states was proposed based on the patterns observed in the second virial coefficient for potential models of variable range. In this work, we propose the use of this law, together with a generalized Lennard-Jones (or approximate nonconformal, ANC) potential, to predict the critical temperatures of real fluids. To th...

Experiments with polymer latex solutions show the coexistence of order-disorder structures of macroions. Because of the large macroions’ sizes, this order–disorder phase coexistence imply the existence of very long-range attractive and repulsive forces, which cannot be explained in terms of conventional direct interaction potentials, which are shor...

Experiments with polymer latex solutions show the coexistence of order-disorder structures of macroions. Because of the large macroions' sizes, this order-disorder phase coexistence imply the existence of very long-range attractive and repulsive forces, which can not be explained in terms of conventional direct interaction potentials, which are sho...

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...

Extensive molecular dynamics simulations in the equilibrium isobaric-isothermal (NPT) ensemble were developed to determine the coexistence temperatures of the water hydrogen mixture using the direct coexistence method. The water molecules were modeled using the four-site TIP4P/Ice analytical potential, and the hydrogen molecules were described usin...

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...

Most theoretical and simulation studies on charged particles suspensions are at infinite dilution conditions. Hence these studies have been focused on the electrolyte structure around an isolated central particle (or elctrode), where phenomena as charge reversal, charge inversion and overcharging have been shown to be relevant. However, experimenta...

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...

This work presents solutions to the second virial coefficient of Kihara molecules with a soft variable range of interaction given by a generalized Lennard-Jones four-parameter function. Regarding the four parameters, there are drawbacks in the mathematical procedure, since to find the virial solution two expansion series are used for which only the...

In this work, we present a methodological procedure to validate the numerical solution of the diffusive part in a reaction-diffusion model. Uniform explicit finite differences method is used to generate the solution in a confined circular domain with boundary condition of zero flux. For the validation of the numerical solution, we consider three di...

We present an exact analytical solution for the second virial coefficient of a generalized Lennard-Jones type of pair potential model. The potential can be reduced to the Lennard-Jones, hard-sphere, and sticky hard-sphere models by tuning the potential parameters corresponding to the width and depth of the well. Thus, the second virial solution can...

The second virial coefficient and Boyle's temperature of three different mesogenic potentials (Kihara, Gay–Berne and Gay–Berne–Kihara) have been determined via numerical integration. Several models with different anisotropies and shapes (prolate and oblate) have been considered. Discussion about the feasibility of employing a simple set of intermol...

The second virial coefficient and Boyle's temperature of three different mesogenic potentials (Kihara, Gay–Berne and Gay–Berne–Kihara) have been determined via numerical integration. Several models with different anisotropies and shapes (prolate and oblate) have been considered. Discussion about the feasibility of employing a simple set of intermol...

We present evidence for the regular behaviour of the Boyle temperature T _B in gaseous binary mixtures of small molecules with negligible multipolar moments. We use this regularity to construct a new combining rule for the prediction of the cross interaction u ₁₂( r ) in those mixtures. The combining rule gives T _B o...