A5035230143- advanced mathematical theories
- Geochemistry and Geologic Mapping
- Soil Geostatistics and Mapping
- Soil and Unsaturated Flow
- Landslides and related hazards
- Topological and Geometric Data Analysis
- Biofield Effects and Biophysics
- Geophysical Methods and Applications
- Hydrocarbon exploration and reservoir analysis
- Soil Moisture and Remote Sensing
- Geological and Tectonic Studies in Latin America
- Plant and soil sciences
- Soil Management and Crop Yield
- Soil Carbon and Nitrogen Dynamics
- Image Processing and 3D Reconstruction
- Soil erosion and sediment transport
- earthquake and tectonic studies
- Agricultural and Food Production Studies
- Soil Science and Environmental Management
- Complex Systems and Time Series Analysis
- Mental Health Research Topics
- Geological Modeling and Analysis
- Geographic Information Systems Studies
- Tree Root and Stability Studies
- Clay minerals and soil interactions
Universidad Nacional Autónoma de México
2009-2020
Paderborn University
2016
Instituto de Geociencias
2008
Colegio de Postgraduados
1989-1996
We present a new conceptual approach for modeling of fluid flows in random porous media based on explicit exploration the treelike geometry complex capillary networks. Such patterns can be represented mathematically as ultrametric spaces and dynamics fluids by diffusion. The images p-adic fields, extracted from real multiscale rock samples some reference images, are depicted. In this model background is treated environment contributing to coefficients evolutionary equations. For simplest...
A study was conducted to examine the responses of microbial activity and nitrogen (N) transformations along an altitudinal gradient. The gradient divided into three parts. Three areas were sampled: upper part (UP): coniferous forest, corn field, abandoned field; middle (MP): tropical cloud grassland, field (COL); lower (LP): deciduous forest sugarcane. results showed that soil biomass carbon (C) basal respiration significantly higher in MP UP than LP, whereas quotient (Cmic/Corg) LP UP....
Time series defined by a p-adic pseudo-differential equation is investigated using the expansion of time over wavelets. Quadratic correlation function computed. This shows degree--like behavior and locally constant for some periods. It natural to apply this kind models investigation avalanche processes punctuated equilibrium as well fractal-like analysis generated measurement pressure in oil wells.
A general technique is developed to retrieve the fractal dimension of self-similar soils through microwave (radar) scattering. The based on a mathematical model relating dimensions georadargram that scattering structure. Clear and different signatures have been observed over four geosystems (soils sediments) compared in this work.
The realistic estimation of gold mining in French Guiana requires including the numerous illegal washing activities predictivity mapping. combination a classical approach, based on algebraic method Knox‐Robinson and Groves, with innovative processing grid‐type geochemical radiometric data, as well cluster analysis technique provides better understanding structure studied mineralized areas.
P-adic numbers serve as the simplest ultrametric model for tree-like structures arising in various physical and biological phenomena. Recently p-adic dynamical equations started to be applied geophysics, propagation of fluids (oil, water, oil-in-water water-in-oil emulsion) capillary networks porous random media. In particular, a analog Navier–Stokes equation was derived starting with system differential respecting hierarchic structure tree. this paper, using Schauder fixed point theorem...
Using a combination of laboratory experiments and computer simulation we show that microwaves reflected from transmitted through soil have fractal dimension correlated to the soil's hierarchic permittivity network. The mathematical model relating ground-penetrating radar record mass structure is also developed. signature scattered correlates well with some physical mechanical properties soils.
We present a mathematical model of disease (say virus) spread that takes into account the hierarchic structure social clusters in population. It describes dependence epidemic's dynamics on strength barriers between clusters. These are established by authorities as preventative measures; partially they based existing socio-economic conditions. applied theory random walk energy landscapes represented ultrametric spaces (having tree-like geometry). This is part statistical physics with...
Abstract. We documented that the mapping of fractal dimension backscattered Ground Penetrating Radar traces (Fractal Dimension Mapping, FDM) accomplished over heterogeneous agricultural fields gives statistically sound combined information about spatial distribution Andosol' dielectric permittivity, volumetric and gravimetric water content, bulk density, mechanical resistance under seven different management systems. The roughness recorded was measured in terms a single number H, Hurst...
Recently p-adic (and, more generally, ultrametric) spaces representing tree-like networks of percolation, and as a special case capillary patterns in porous media, started to be used model the propagation fluids (e.g., oil, water, oil-in-water, water-in-oil emulsion). The aim this note is derive dynamics described by fractional differential operators (Vladimirov operators) starting with discrete based on hierarchically-structured interactions between fluids’ volumes concentrated at different...
Soil structure depends on its genesis and consists of highly variable pore solid networks. Several internal external factors affect the attributes these networks, with water being most aggressive agent. In this study, we used selected fractal parameters (called descriptors ) to quantify basic topological attributes—compactness connectedness—as well as lacunarity roughness porous materials, special attention sampling error population variance dynamics. Four microhorizons were sampled from a...