A composite solution method for physical equations and its application in the Nea Kessani geothermal field (Greece)

Journal of Geophysical Research: Solid Earth

Volumn 112, Issue 6, 2007, Pages

  Yu, Hwa Lung ^a   Christakos, George ^a   Modis, Konstantinos ^b   Papantonopoulos, George ^b  

^a SAN DIEGO STATE UNIVERSITY   (United States)

^b NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

BAYESIAN ANALYSIS; BOUNDARY CONDITION; COMPARATIVE STUDY; GEOPHYSICAL METHOD; GEOTHERMAL SYSTEM; GEOTHERMOMETRY; MAXIMUM ENTROPY ANALYSIS; NUMERICAL METHOD; SANDSTONE; TEMPERATURE GRADIENT; UNCERTAINTY ANALYSIS;

EASTERN MACEDONIA AND THRACE; EURASIA; EUROPE; GREECE; NEA KESSANI; SOUTHERN EUROPE; XANTHI;

EID: 34548422755     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2006JB004900     Document Type: Article

References (29)

1. Acton, F. S. (1990), Numerical Methods That Work, Math. Assoc. of Am., Washington, D. C.
2. Angulo, J. M., M. C. Buesco, and F. J. Alonso (2000), A study on sampling design for optimal prediction of space-time stochastic processes, Stochastic Environ. Res. Risk Assess., 14(6), 412-427.
3. Barnett, V., and K. Turkman (Eds.) (1997), Statistics for the Environment, Pollution Assessment, and Control, John Wiley, New York.
4. Barrett, R., M. Berry, T. F. Chan, J. Demmel, J. Donato, J. Dongarra, V. Eijkhout, R. Pozo, C. Romine, and H. Van der Vorst (1994), Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, Soc. for Ind. and Appl. Math., Philadelphia, Pa.
5. Briggs, W. L., V. E. Hensen, and S. F. McCormick (2000), A Multigrid Tutorial, Soc. for Ind. and Appl. Math., Philadelphia, Pa.
6. Bronshtein, I. N., and K. A. Semendyayev (1997), Handbook of Mathematics, Springer, New York.
7. Chiles, J. P., and P. Delfiner (1999), Geostatistics: Modeling Spatial Uncertainty, John Wiley, New York.
8. Christakos, G. (1990), A Bayesian maximum entropy view to the spatial estimation problem, Math. Geol., 22(7), 763-777.
9. Christakos, G. (1991), Some applications of the Bayesian maximum-entropy concept in geostatistics, in Maximum Entropy, and Bayesian Methods, edited by W. T. Grandy Jr. and L. H. Schick, pp. 215-229, Kluwer Acad., Norwell, Mass.
10. Christakos, G. (1992), Random Field Models in Earth Sciences, Academic, San Diego, Calif.
11. Christakos, G. (2000), Modern Spatiotemporal Geostatistics, Oxford Univ. Press, New York.
12. Christakos, G. (2004), The cognitive basis of physical modeling, paper presented at Computational Methods in Water Resources, Univ. of N. C. at Chapel Hill, Chapel Hill, N. C., 13-17 June.
13. Christakos, G. (2005), Methodological developments in geophysical assimilation modeling, Rev. Geophys., 43, RG2001, doi:10.1029/ 2004RG000163.
14. Fytikas, M., F. Innocenti, P. Manetti, R. Mazzuoli, A. Peccerillo, and L. Villari (1985), Tertiary to Quaternary evolution of volcanism in the Aegean region, in The Geological Evolution of the Eastern Mediterranean, edited by J. E. Dixon and A. H. F. Robertson, Geol. Soc. Spec. Publ., 17, 687-699.
15. Grassi, S., N. Kolios, M. Mussi, and A. Saradeas (1996), Groundwater circulation in the Nea Kessani low-temperature geothermal field (NE Greece), Geothermics, 25(2), 231-247.
16. Hageman, L., and D. Young (1981), Applied Iterative Methods, Academic, New York.
17. Kolios, N. (1993), Research on the geothermal field of Nea Kessani (in Greek), Ph.D. thesis, Natl. Univ. of Athens, Athens, Greece.
18. Kolovos, A., G. Christakos, M. L. Serre, and C. T. Miller (2002), Computational Bayesian maximum entropy solution of a stochastic advection-reaction equation in the light of site-specific information, Water Resour. Res., 38(12), 1318, doi:10.1029/2001WR000743.
19. Lyberis, M. (1985), Evolution of the north Aegean trough, in The Geological Evolution of the Eastern Mediterranean, edited by J. E. Dixon and A. H. F. Robertson, Geol. Soc. Spec. Publ., 17, 709-725.
20. Modis, K., A. Sofianos, and A. Kolovos (2004), Bayesian maximum entropy solution of the stochastic axisymmetric displacements problem around an excavation, in light of site specific information, in Proceedings of 1st International Conference on Advances in Mineral Resources Management, and Environmental Geotechnology, edited by Z. Agioutandis and K. Komnitsas, pp. 145-150, Heliotopos Conf., Athens, Greece.
21. Papantonopoulos, G., and K. Modis (2005), A BME solution of the stochastic three-dimensional Laplace equation representing a geothermal field subject to site-specific information, Stochastic Environ. Res. Risk Assess., 20, 23-32.
22. Press, W. H., B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling (1992), Numerical Recipes in FORTRAN: The Art of Scientific Computing, Cambridge Univ. Press, Cambridge, U. K.
23. Serre, M. L., and G. Christakos (1999), BME studies of stochastic differential equations representing physical laws. part 2, paper presented at the Fifth Annual Conference, Int. Assoc. for Math. Geol., Trondheim, Norway, 6-11 Aug.
24. Varga, R. (1962), Matrix Iterative Analysis, Prentice-Hall, Englewood Cliffs, N. J.
25. Yeh, G.-T. (1999), Computational Subsurface Hydrology: Fluid Flows, Springer, New York.
26. Young, D. (1971), Iterative Solutions of Large Linear Systems, Academic, New York.
27. Yu, H.-L., and G. Christakos (2005), Porous media upscaling in terms of mathematical epistemic cognition, SIAM J. App. Math., 66(2), 433-446.
28. Yu, H.-L., A. Kolovos, G. Christakos, J.-C. Chen, S. Warmerdam, and B. Dev (2007), Interactive spatiotemporal modeling of health systems: The SEKS-GUI framework, Stochastic Environ. Res. Risk Assess, in press.
29. Zwillinger, D. (1989), Handbook of Differential Equations, Academic, New York.