Week |
Theoretical |
Practical |
1 |
Soil water balance in the vadose zone of the field: precipitation, surface runoff, evapotranspration
A first approximation to real evapotranspration and groundwater recharge, a simplified approach to drainage and capillary rise
Soil water storage term, simulation of soil water storage (excel solver, a spreadsheet model simulation), a multilayer soil water balance simulation
|
Course is going to be interactively using Computers and text material and
components of the software for the construction of the model
-Simulations in excel spreadsheet via solver
|
2 |
Water retention in soils:
Soil water retention curve, differential water capacity, air entry value, residual water content,
Pore size distribution, effect of temperature on pressure head, hysteresis
|
Using field data and laboratory data of soil water retention, 1D transport in a uniform flow field will be evaluated.
|
3 |
Flow of water through saturated soil:
Equations governing the flow process, Darcy’s equation,
Richard’s equation,
Advection-dispersion equation (ADE)
Steady-state flow of water in saturated soil,
Saturated hydraulic conductivity and specific permeability,
Estimation of saturated hydraulic conductivity from laboratory and field methods,
Numerical models of water flow
Statistical data processing,
Flow of water through saturated layered soil
|
1D transport in a uniform flow field: evaluation of advection, dispersion, diffusion, and chemical reaction processes |
4 |
Variably saturated water flow: governing flow equations, root water uptake, unsaturated soil hydraulic properties, scaling of the soil hydraulic properties, initial and boundary conditions |
2D transport in a uniform flow field: evaluation of advection, dispersion, diffusion, and chemical reaction processes |
5 |
Flow through unsaturated soil:
Fundamentals of steady-state flow and transient flow, solutions to flow equations
Models of unsaturated hydraulic conductivity: Gardner’s equation, Burdine and Brooks Corey equations, Mualem and van Genuchten theory,
|
2D transport in a uniform flow field: evaluation of advection, dispersion, diffusion, and chemical reaction processes |
6 |
Steady-state evaporation or seepage,
Steady-state infiltration field methods-the disc infiltrometer,
Prediction of unsaturated hydraulic conductivity based on soil water retention
|
2D transport in a uniform flow field: evaluation of steady-state flow with initial and boundary conditions in HYDRUS2D |
7 |
Elementary soil hydrological processes:
Steady-state vertical flow: capillary rise and constant flux infiltration,
Vertical infiltration under pressure head boundary conditions:
Philip’s equation, Haverkamp’s equation, The Green-Ampt equation
Vertical infiltration under flux boundary condition: finger flow and preferential flow, redistribution,
Infiltration-based methods to estimate soil hydraulic properties, two-dimensional flux boundary conditions,
infiltration from line and point sources, internal drainage
Internal drainage of groundwater-affected soils,
unit gradient drainage, drying bare soil by evaporation
|
Numerical models and their solutions for veritcal infiltration will be tested in HYDRUS2D |
8 |
Solute transport in soil:
Basic processes: convection, diffusion, dispersion, hydrodynamic dispersion
Total solute flux,
Chemical reactions and classes,
Fast reactions (classes I through III), Slow reactions (classes IV through VI)
Convection-dispersion equation (CDE), components of solute transport equation, general problem definition, simplified CDE solutions, Breakthrough curves and solutions to the CDEs,
stream tube models inital and boundary conditions for the construction of a flow equation
Stochastic descriptions of solute transport.
|
2D transport in a uniform flow field: evaluation of advection, dispersion, diffusion, and chemical reaction processes |
9 |
Numerical solution of water flow governing equations: space and time discretizations; numerical solution strategies: iteration process, discretization of water storage term, time step control, treatment of pressure head boundary conditions |
Mathematical formulations using componets of the software for the construction of the model |
10 |
Flux and gradient boundary conditions, atmospheric boundary conditions and seepage faces, treatment of tile drains, water balance evaluation, nodal flux computations, water uptake by plant roots, evaluation of soil hydraulic properties, steady-state analysis of water flow |
Mathematical formulations using componets of the software for the construction of the model |
11 |
Numerical solution of solute transport governing equations: space and time discretizations, numerical solution algorithms, solution process |
Mathematical formulations using componets of the software for the construction of the model |
12 |
Upstream wighted formulation, implementation of first type boundary conditions, implementation of third type boundary conditions, mass balance calculations |
Mathematical formulations using componets of the software for the construction of the model |
13 |
Problem definition: construction of finite element mesh, coding of soil types and subregions, coding of boundary conditions, program memory requirements, matrix equation of solvers |
Working with componets of the software for the construction of the model |
14 |
Input data: description of data input blocks, example input files; output data: description of data output files, example output files
Overview of modeling steps
|
Working with componets of the software for the construction of the model |