MATTUM: a multidimensional model for simulating moisture and thermal transport in unsaturated porous media

Technical Report · Thu Sep 01 00:00:00 EDT 1983

OSTI ID:5773686

Yeh, G T; Luxmoore, R J

This report presents the development of a multidimensional model for simulating moisture and thermal transport in an unsaturated aquifer system using the Integrated Compartment Method (ICM). The entire unsaturated zone is divided into a number of compartments with different sizes and shapes. The Philip-de Vries equations governing moisture movement and heat transfer are integrated over each of the compartments to yield a system of nonlinear ordinary differential equations. The system is then solved by one of the three optional time integration schemes. These include the split explicit, the implicit pointwise iteration, and the matrix inversion iteration schemes. The model is verified by comparing its simulations with that of known analytical computations for simplified cases. Results indicate that the ICM algorithm can indeed simulate moisture movement and heat transfer in accordance with the Philip-de Vries equations. The validation of the model is under further investigation.

• Research Organization: Oak Ridge National Lab., TN (USA)
• DOE Contract Number: W-7405-ENG-26
• OSTI ID: 5773686
• Report Number(s): ORNL-5888; ON: DE84000347
• Country of Publication: United States
• Language: English

Related Subjects

58 GEOSCIENCES
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
AQUIFERS
MATHEMATICAL MODELS
THERMAL CONDUCTION
COMPUTER CODES
M CODES
COMPUTERIZED SIMULATION
DIFFERENTIAL EQUATIONS
HEAT TRANSFER
ITERATIVE METHODS
MANY-DIMENSIONAL CALCULATIONS
MOISTURE
ENERGY TRANSFER
EQUATIONS
SIMULATION
580100* - Geology & Hydrology- (-1989)
990200 - Mathematics & Computers