A Mathematical Analysis of Groundwater Hydraulics in Randomly Heterogeneous Soil
Published on by Dr. Amartya Kumar Bhattacharya, Chairman and Managing Director at MultiSpectra Consultants and MultiSpectra Global in Technology
Abstract
The paper presents a detailed mathematical analysis of groundwater hydraulics in randomly heterogeneous soil. As the soil medium investigated is randomly heterogeneous, the hydraulic conductivity follows the same pattern. In view of the fact that very little quantitative research has been conducted on groundwater flow in randomly heterogeneous soil, the present study assumes importance.
The study develops a mathematical formulation for the velocity potential, velocity components and the stream function in in randomly heterogeneous soil. This mathematical formulation is complex and impossible to interpret physically. Therefore, the study continues its exploration by taking mildly random heterogeneity only for which a definite mathematical result has been found. This mathematical result is easy to interpret and the same has been done in the study.
Find the study attached below.
Media
Taxonomy
- Modeling
- Groundwater Assessment
- Groundwater Modeling
- Groundwater Mapping
- numerical model development
- Modeling Tools
1 Comment
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Thank you for the interesting work, but it seems that your approach is valid only for weak fluctuations of permeability, but real subsurface structures are composed from very contrast layers - clay, sand, stones and it hard to understand in what a way we can get a percolation theory from your approximation.