CCC-0417 AT123D.

1. NAME OR DESIGNATION OF PROGRAM:  AT123D.

3. DESCRIPTION OF PROBLEM OR FUNCTION

AT123D estimates time-dependent waste transport in a groundwater system in one, two, and/or three dimensions. Combinations of the following options may be specified:  (1) Types of waste:
    - radioactive waste
    - chemicals
    - heat
(2) Eight types of source configurations
(3) Kinds of source releases:
    - instaneous release
    - continuous release
    - finite duration release
(4) Variation of the aquifer dimensions:
    - finite depth and finite width
    - finite depth and infinite width
    - infinite depth and finite width
    - infinite depth and infinite width
(5) Mechanism of transport:
    - advection
    - hydrodynamic dispersion
    - adsorption
    - decay/degeneration
    - waste losses to the atmosphere
(6) Boundary condition:
    - Dirichlet
    - Neumann
    - mixed type
    - radiation boundaries.

4. METHOD OF SOLUTION

To find closed-form solutions of the space- time dependent transport problem, Green's function was applied.

5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM:

6. TYPICAL RUNNING TIME

CCC-0417/01: NEA-DB ran the test case on IBM 370/168 in 5 seconds.

7. UNUSUAL FEATURES OF THE PROGRAM:

8. RELATED AND AUXILIARY PROGRAMS:

10. REFERENCES

- J. Bear:  Dynamics of Fluids in Porous Media American Elsevier, New York, 765 pp. (1972)
- J.D. Bredehoeft, G.F. Pinder: Mass Transport in Flowing Groundwater Water Resour. Res. 9, pp. 194-210 (1973)
- R.W. Cleary, T.J. McAvary, W.L. Short: Unsteady State Three-Dimensional Model of Thermal Pollution in Rivers Water-1972. Amer. Inst. Chem. Eng. Symp. Series 129, Vol.69, pp. 422-431 (1973)
- J.M. Davidson, C.E. Rick, P.W. Santelmann: Influence of Water Flux and Porous Material on the Movement of Selected Herbicides Soil. Sci. Soc. Am. Proc. 32, pp. 629-633 (1968)
- J.O. Duguid, M. Reeves: Material Transport Through Porous Media: A Finite Element Galerkin Model ORNL-4928 (1976)
- P.S. Eagleson: Dynamic Hydrology McGraw-Hill, New York, 462 pp. (1970)
- E.Y.T. Kuo: Analytical Solution for 3-D Diffusion Model J. Environ. Eng. Div. ASCE 102, pp. 805-820 (1976)
- S.H. Lai, J.J. Jurinak: The Transport of Cations in Soil Columns at Different Pore Velocities Soil Sci. Soc. Am. Proc. 36, pp. 730-733 (1972)
- L. Lapidus, N.R. Amundson: Mathematics of Adsorption in Beds, VI: The Effect of Longitudinal Diffusion in Ion Exchange and Chromatographic Columns J. Phys. Chem. 56, pp. 984-988 (1952)
- F.T. Lindstrom, L. Boersma: A Theory on the Mass Transport of Previously Distributed Chemicals in a Water Saturated Sorbing-Porous Medium Soil Sci. 111, pp. 192-199 (1971)
- F.T. Lindstrom, W.M. Stone: On the Start Up or Initial Phase of Linear Mass Transport of Chemicals in a Water Saturated Sorbing Porous Medium I. SIAM J. Appl. Math. 26, pp. 578-591 (1974)
- A.M. Marino: Distribution of Contaminants in Porous Media Flow Water Resour. Res. 10, pp. 1013-1018 (1974)
- J.B. Robertson: Digital Modeling of Radioactive and Chemical Waste Transport in the Snake River Plain Aquifer at the National Reactor Testing Station, Idaho, U.S.G.S. Open-file Report IDO-22054 (1974)
- H.M. Selim, R.S. Mansell: Analytical Solution of the Equation for Transport of Reactive Solutes Through Soil Water Resour. Res. 12, pp. 528-532 (1976)
- M.Th. Van Genuchten, P.J. Wiesenga: Mass Transfer Studies in Sorbing Porous Media I. Analytical Solutions Soil Sci. Amer. J. 40, pp. 473-480 (1976)
- S.T. Wang, A.F. McMillan, B.H. Chen: Analytical Model of Dispersion in Tidal Fjords J. Hydraulic Div., ASCE 103, pp. 737-751 (1977)
- A.W. Warrick, J.W. Biggar, D.R. Nielsen: Simultaneous Solute and Water Transfer for an Unsaturated Soil Water Resour. Res. 7, pp. 1216-1225 (1971)
- G.T. Yeh, Y.J. Tsai: Analytical Transient Three-Dimensional Modeling of Effluent Discharges Water Resour. Res. 12, pp. 533-540 (1976)
- G.T. Yeh: Transport and Dispersion of Pollutants in Surface Impoundments: A Finite Difference Model ORNL-5521 (1980)
- G.T. Yeh, R.H. Strand: FECWASTE: User's Manual of a Finite-Element Computer Code for Simulating Waste Transport Through Saturated-Unsaturated Porous Media ORNL/TM-7316
- G.T. Yeh, D.S. Ward: FEMWASTE: A Finte-Element Model of Waste Transport Through Saturated-Unsaturated Porous Media ORNL-5601 (1981)

- G.T. Yeh:
  AT123D: Analytical Transient One-, Two-, and Three-Dimensional
  Simulation of Waste Transport in the Aquifer System.
  ORNL-5602  (March 1981)

11. MACHINE REQUIREMENTS

CCC-0417/01: Main storage requirements on IBM 370/168 is 400 kbytes.

13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:

OS/370 (IBM 370/168).

14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS:

15. NAME AND ESTABLISHMENT OF AUTHOR

Contributed by: Radiation Safety Information Computational Center
                Oak Ridge National Laboratory
                Oak Ridge, Tennessee, U.S.A.
Developed by:   Oak Ridge National Laboratory, Oak Ridge, Tennessee, USA

File name	File description	Records
CCC0417_01.003	AT123D INFORMATION FILE	41
CCC0417_01.004	AT123D SOURCE (FORTRAN-4)	758
CCC0417_01.005	AT123D JCL	8
CCC0417_01.006	AT123D INPUT FOR TEST CASE	8
CCC0417_01.007	AT123D OUTPUT OF TEST CASE	144