1. General Model Information
Name: 2D Ground Water Salt-Heat Transport with Freezing.
Main medium: terrestrial
Main subject: hydrology, agriculture, (eco)toxicology
Organization level: Landscape, Ecosphere
Type of model: partial differential equations (finite differences,2D)
Keywords: 2D, irrigation, drainage, incomplete saturation, contaminant transport, heat, freezing, soil water transport, variably saturated soil.
The 2D-V-HYDRO-S program can model transient or steady-state two-dimensional profile flows of ground water with contaminant transport and heat transport added with account of freezing. One can turn off the heat or/and salt transport if it is necessary.
The region of the modelling is bounded by earth surface, impermeable bottom, river bank slopes, and vertical lines of simmetry. Drains, vertical impermeable screens, and freezing columns can be inside of the region. Infiltration of fresh or salt water or evaporation can be from the earth too. The ground is supposed be lithologically layered.
The modelling is based on: 1) a hydrodynamical model of groundwater filtration with incomplete pore saturation, 2) an equation of convective dispersion for contaminant transport, 3) an equation of heat transport and heat conductivity with account of freezing, 4) soil/water and salt/heat relations.
The model is implemented with the help of finite-difference approximations on non- uniform grids and new iterative techniques of the incomplete factorization method. There is a version of the program which takes into account a cation exchange of Na, Ca, and Mg.
Output results computed at given times are grid values and isolines of head, water content, concentration, and temperature, as far as integrated parameters of the flows, boundaries of saturated zones and frozen zones of the region. Pictures of the isolines can be saved in PCX-files.
The program takes input data from a text file which can be created by a special utility. The utility uses a mouse to set all parameters of the problem in visual interactive mode.
The program can be used to calculate ground water flows through a damb, to systematical or another horizontal drainage, under heavy buildings, from surface or inner sources of pollution, between frozen or another screens, to river banks, from channals, and in combinations of these conditions. It calculates salt and heat transport by these flows, too.
As fast iterative techniques are used for solution in the program, it can be efficiently run on relatively slow computers, and be applied to demonstrations of examples of ground water motion in educational purposes. The program is executed in DOS, real mode, uses conventional memory, a little Mbit of a hard disk space, and a color monitor of VGA/EGA type. It can be modified or improved by the author to suit to demands or whishes of customers.
II. Technical Information
Operating System(s): DOS E-mail to: email@example.com
Programming Language(s): E-mail to: firstname.lastname@example.org Borland Pascal, Assembler. E-mail to: email@example.com
E-mail to: firstname.lastname@example.org DEMO-program and text help file. E-mail to: email@example.com
E-mail to: firstname.lastname@example.org The program takes input data from a text file which can be created by a special utility. The utility uses a mouse to set all parameters of the problem in visual interactive mode.
III. Mathematical Information
Sorry, all detailed documentations on mathematics aspectsof the model are published in Russian. See section "References" for abstracts of reports in English.
Geometrical parameters of a flow region and of artificial objects inside. Lithological parameters of ground layers and parameters of formulae approximating functions of water content versus capillary preassure and hydraulic conductivity versus water content. Salt and heat parameters of the ground and water. Initial grid values of head, concentration, temperature. Boundary values of infiltration, concentration, temperatureas stepped functions of time. Precision constants for finishing iteration processes.
Outputs are grid values and isolines of head, water content, concentration, and temperature, as far as integrated parameters of the flows, boundaries of saturated zones and frozen zones of the region. Digit values are accumulated in a text file and pictures of the isolines can be saved in PCX-files.
Sabinin V.I. 1992 Solute transport numerical model for three exchange cations.- Thermodynamics in Geology. Symposium. Novosibirsk, Russia, 1992, p.130. 2)
Sabinin V.I. 1997 Effect of a gap in a low-permeable layer on a contaminant transport. - Annales Geophysicae Supplement,v.15, part 2, 1997, p.271. 3)
Sabinin V.I., Dubina M.M. 1997 Numerical modelling of groundwater-salt-heat transport with freezing.- Annales Geophysicae Supplement, v.15, part 2, 1997, p.287.
V. Further information in the World-Wide-Web
VI. Additional remarks
Last review of this document by: T. Gabele, Mon Aug 24 14:12:36 1998
Status of the document: Contributed by Vladimir Sabinin
last modified by
Tobias Gabele Wed Aug 21 21:44:38 CEST 2002