Abstract
Object-oriented (OO) methods become more and more important in order to meet scientific computing challenges, such as the treatment of coupled non-linear multi-field problems with extremely high resolutions. This two-part paper introduces an object-oriented concept for numerical modelling multi-process systems in porous media (Part 1). The C++ implementation of the OO design for process objects (PCS) as a class is described and illustrated with several applications. Due to the importance of the encapsulation of processes as individual PCS objects we denote our concept as an processoriented approach. The presented examples (Part 2) are dealing with thermal (T), hydraulic (H), mechanical (M) and componental processes (C) in bentonite materials, which are used as buDer material for the isolation of hazardous waste in geologic barriers. In particular, we are interested in coupling phenomena such as thermally induced desaturation, non-isothermal consolidation, swelling/shrinking phenomena as well as in a better understanding of the coupled, non-linear THM system.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
E. E. Alonso, A. Gens, and D. W. Hight. Special problem soils: general report. In Proc. 9th European Conf. on Soil Mechanics and Foundation Engineering, volume 3, Rotterdam, 1987. Balkema.
M. A. Biot. General theory of three-dimensional consolidation. J. Appl. Phys., 12: 155–164, 1941.
G. S. Bodvarsson and C. F. Tsang. Injection and thermal breakthrough in fractured geothermal reservoirs. J. Geophys. Res., 87(B2):1031–1048, 1982.
L. Börgesson. Water flow and swelling pressure in non-saturated bentonite-based clay barriers. Engineering Geology, 314:229–237, 1985.
M. Borsetto, D. Cricci, T. Hueckel, and A. Peano. On numerical models for the analysis of nuclear waste disposal in geologic clay formations. In R. W. Lewis, editor, Numerical Methods for Transient and Coupled Problems, Swansea, 1984. Pineridge Press.
H. Class. Theorie und numerische Modellierung nichtisothermer Mehrphasenprozesse in NAPL-kontaminierten porösen Medien. Dissertation, TU Braunschweig, 2000.
M. Emmert. Numerische Modellierung nichtisothermer Gas-Wasser Systeme in porösen Medien. PhD thesis, Insitut für Wasserbau, Universität Stuttgart, 1997.
R. W. Falta, K. Pruess, I. Javandel, and P. A. Witherspoon. Numerical modeling of steam injection for the removal of nonaqueous phase liquids from the subsurface-2. code validation and application. Water Resources Research, 28(2):451–465, February 1992a.
R. W. Falta, K. Pruess, I. Javandel, and P. A. Witherspoon. Numerical modeling of steam injection for the removal of nonaqueous phase liquids from the subsurface-1. numerical formulation. Water Resources Research, 28(2):433–449, February 1992b.
D. Gawin, P. Baggio, and B. A. Schrefler. Coupled heat, water and gas flow in deformable porous media. Int. J. Num. Meth. Fluids, 20:969–987, 1995.
A. Gens, A. J. Garcia-Molina, S. Olivella, E. E. Alonso, and F. Huertas. Analysis of a full scale in-situ test simulating repository conditions. Int. J. Anal. Num. Meth. Geomech., 22:515–548, 1998.
M. Geraminegad and S. K. Saxena. A coupled thermoelastic model for saturated-unsaturated porous media. Géotechnique, 36:539–550, 1986.
R. Helmig. Multiphase Flow and Transport Processes in the Subsurface. Springer, Berlin, 1997.
L. Jing, O. Stephansson, L. Börgesson, M. Chijimatzu, F. Kautsky, and C.-F. Tsang. Decovalex ii project technical report-task 2c. Ski report 99:23. issn 1104-1374, DECOVALEX team, 1999.
T. Kanno, T. Fujita, H. Ishikawa, K. Hara, and M. Nakano. Coupled thermo-hydromechanical modelling of bentonite buffer material. Int. J. Numer. Anal. Meth. Geomech., 23:1281–1307, 1999.
M. Kohlmeier, R. Kaiser, O. Kolditz, and W. Zielke. Finite element simulation of consolidation and bentonite swelling in the framework of unsaturated porous media. In: Developments in Water Science, 47:57–64, 2002.
O. Kolditz. Non-linear flow in fractured rock. Int. J. Numer. Methods for Heat & Fluid Flow, 11(6):547–575, 2001.
O. Kolditz. Computational methods in environmental fluid mechanics. Springer Science Publisher, Berlin-New York-Tokyo, 2002.
O. Kolditz and S. Bauer. A process-oriented approach to compute multi-field problems in porous media. submitted to Hydroinformatics, 2003.
O, Kolditz, J. de Jonge, M. Beinhorn, M. Xie, T. Kalbacher, W. Wang, S. Bauer, C. McDermott, R. Kaiser, and M. Kohlmeier. ROCKFLOW-Theory and users manual, release 3.9 (in preparation). Groundwater modeling group, Center for Applied Geosciences, University of Tuebingen, Institute of Fluid Mechanics, University of Hannover, 2003.
R. W. Lewis, P. J. Roberts, and B. A. Schrefler. Finite element modelling of two-phase heat and fluid flow in deforming porous media. Transport in Porous Media, 4:319–334, 1989.
R. W. Lewis and B. A. Schrefler. The finite element method in the static and dynamic deformation and consolidation of porous media. Wiley, 1998.
M. J. Lippmann, T. N. Narasimham, and P. A. Witherspoon. Numerical simulation of reservoir compaction in liquid-dominated geothermal systems. In Proc. 2nd Int. Symposium Land Subsidence, pages 179–189. IAHS, 1976.
S. Olivella, J. Carrera, A. Gens, and E. E. Alonso. Nonisothermal multiphase flow of brine and gas through saline media. Transport in Porous Media, 15:271–293, 1994.
S. Olivella and A. Gens. Vapour transport in low permeability unsaturated soil with capillary effects. Transport in Porous Media, 40:219–241, 2000.
K. Pruess. Modeling of geothermal reservoirs: Fundamental processes, computer simulations and field applications. Geothermics, 19(1):3–15, 1990.
K. Pruess and T.N. Narasimhan. On fluid reserves and the production of super-heated steam from fractured, vapor-dominated geothermal reservoirs. J. Geophys. Res., 87(B11):9329–9339, 1982.
K. Pruess and T.N. Narasimhan. A practical method for modeling fluid and heat flow in fractured porous media. Society of Petroleum Engineers Journal, 25(1): 14–26, 1985.
J. Rutqvist, L. Börgesson, M. Chijimatsu, A. Kobayashi, L. Jing, T. S. Nguyen, J. Noorishad, and C.-F. Tsang. Thermodynamics of partially saturated geologic media: governing equations and formulation of four finite element models. International Journal of Rock Mechanics & Mining Sciences, 38:105–127, 2001.
J. Studer, W. Ammann, P. Meier, Ch Müller, and E. Glauser. Verfüllen und Versiegeln von Stollen, Schächten und Bohrlöchern. Technischer Bericht 84-33, Nagra, Baden, Schweiz, 1984.
K. Terzaghi. Erdbaumechanik auf bodenphysikalischer Grundlage. Deuticke, Wien, 1925.
S. Tripathy and T. Schanz. A re-examination of swelling pressure of compacted bentonites from gouy-chapman diffusive double layer theory. In De Gennaro and Delage, editors, Int Workshop of Young Doctors in Geomechanics-W(H)YDOC 02, pages 17–19. Ecole Nationale des Ponts et Chaussees, 2002.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kolditz, O., Wang, W., de Jonge, J., Xie, M., Bauer, S. (2005). A process-oriented approach to compute THM problems in porous media - Part 1: Theoretical and informatics background. In: Schanz, T. (eds) Unsaturated Soils: Numerical and Theoretical Approaches. Springer Proceedings in Physics, vol 94. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26737-9_5
Download citation
DOI: https://doi.org/10.1007/3-540-26737-9_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-21122-8
Online ISBN: 978-3-540-26737-9
eBook Packages: EngineeringEngineering (R0)