Luis Fernando Lozano Guerrero

Luis Fernando Lozano Guerrero
Federal University of Juiz de Fora · Department of Mathematics

PhD Mathematics

About

14
Publications
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17
Citations
Citations since 2016
13 Research Items
17 Citations
20162017201820192020202120220246810
20162017201820192020202120220246810
20162017201820192020202120220246810
20162017201820192020202120220246810
Introduction
I work in the area of Applied Nonlinear Partial Differential Equations. My research interests include: Stability of Shock Profiles, Nonlinear Wave Propagation, Traveling waves, Foam flow in porous media, three phase flow in porous media, Riemann problems and Numerical methods for PDEs.
Additional affiliations
September 2018 - October 2019
Federal University of Juiz de Fora
Position
  • PostDoc Position
August 2009 - February 2014
Universidad del Valle (Colombia)
Position
  • Professor
Education
February 2014 - July 2018
September 2009 - April 2013
Universidad del Valle (Colombia)
Field of study
  • Mathematics

Publications

Publications (14)
Article
In this paper, we establish local existence of solutions of a variant of a system derived by Choi and Camassa [Weakly nonlinear internal waves in a two-fluids system, J. Fluid Mech.313 (1996) 83-103] to describe the propagation of an internal wave at the interface of two immiscible fluids with constant densities. We also present a numerical solver...
Article
Full-text available
Foam is used in enhanced oil recovery to improve the sweep efficiency by controlling the gas mobility. A common way to describe the foam displacement is by using population balance models, which consider the foam texture as part of the gas phase. Numerical simulation of such equations presents serious difficulties connected to the high non-linearit...
Article
Full-text available
We investigate and classify possible analytical solutions for a simplified version of the foam bubble population model, by varying injection conditions and kinetic foam generation parameter. We prove that the behavior of the analytical solutions changes at the transition between two regions, similar to rarefaction-shock solutions for the Buckley-Le...
Article
Full-text available
Neglecting or simplifying capillary pressure is a common starting point for analyzing the fluid displacement in porous media. From the mathematical perspective, the effect of such simplifications was addressed in the context of conservation laws. In this paper, we address the issue in the context of traveling waves. Mainly, we are interested in the...
Article
Full-text available
The injection of foams into porous media has gained importance as a method of controlling gas mobility. The multilayer structure of the porous medium raises a question on its efficiency in dealing with layers of different permeabilities. The present work shows the existence of a single traveling wavefront in a two-layer porous medium for a simplifi...
Article
Full-text available
In this work, we study injectivity issues caused by the use of the Peaceman equation in the numerical simulation of chemical enhanced oil recovery (EOR) processes aimed at reducing fluid mobility, such as foam injection, on coarse grids. Employing analytical solutions, we demonstrate that the Peaceman equation, commonly applied to mathematical mode...
Conference Paper
Full-text available
Foam injection is one of the methods that are studied for oil recovery in pre-salt reservoirs. The technique consists in injecting water, gas and surfactant into the reservoir to generate foam. Foam injection allows decreasing the gas mobility, reducing fingering and improving recovery efficiency. In previous work it was proposed a first-order-ki...
Thesis
We study the physical diffusive effect caused by capillary pressure between phases in three-phase flow in porous media, disregarding gravitational effects. The problem is modeled by a system of two nonlinear conservation laws. We solve a class of Riemann problems for this model where the oil viscosity is greater than those of water and gas. To this...

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Projects

Projects (2)
Project
Development of analytical solutions for oil spreading problems that is appropriate for foam generation including resolution of the Riemann problem for this model along with solutions in the form of traveling waves.
Project
Describe the solutions of Riemann Problems with real values of viscosity for the Corey Model