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

Yu, H-L; Christakos, G; Modis, K; Papantonopoulos, G

dc.contributor.author	Yu, H-L	en
dc.contributor.author	Christakos, G	en
dc.contributor.author	Modis, K	en
dc.contributor.author	Papantonopoulos, G	en
dc.date.accessioned	2014-03-01T01:25:39Z
dc.date.available	2014-03-01T01:25:39Z
dc.date.issued	2007	en
dc.identifier.issn	0148-0227	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17707
dc.subject	Analytic Solution	en
dc.subject	Boundary Condition	en
dc.subject	Comparative Analysis	en
dc.subject	Differential Equation	en
dc.subject	Physical Model	en
dc.subject	Probability Density	en
dc.subject	Stochastic Model	en
dc.subject	bayesian maximum entropy	en
dc.subject.classification	Geochemistry & Geophysics	en
dc.subject.other	Bayesian analysis	en
dc.subject.other	boundary condition	en
dc.subject.other	comparative study	en
dc.subject.other	geophysical method	en
dc.subject.other	geothermal system	en
dc.subject.other	geothermometry	en
dc.subject.other	maximum entropy analysis	en
dc.subject.other	numerical method	en
dc.subject.other	sandstone	en
dc.subject.other	temperature gradient	en
dc.subject.other	uncertainty analysis	en
dc.subject.other	Eastern Macedonia and Thrace	en
dc.subject.other	Eurasia	en
dc.subject.other	Europe	en
dc.subject.other	Greece	en
dc.subject.other	Nea Kessani	en
dc.subject.other	Southern Europe	en
dc.subject.other	Xanthi	en
dc.title	A composite solution method for physical equations and its application in the Nea Kessani geothermal field (Greece)	en
heal.type	journalArticle	en
heal.identifier.primary	10.1029/2006JB004900	en
heal.identifier.secondary	http://dx.doi.org/10.1029/2006JB004900	en
heal.identifier.secondary	B06104	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	We propose a method for solving physical equations under conditions of uncertainty and we use it to study the Nea Kessani (Greece) geophysical system formed by a thermal reservoir of arcosic sandstones. The method is based on the Bayesian maximum entropy theory and generates temperature solutions that are (1) composite, in the sense that apart from being consistent with the physical model, they also account for the multisourced uncertainty of the model parameters and the site-specific information at a set of vertical drill holes indicating that hot fluids rising from depth enter the reservoir in a restricted area and flow toward local thermal springs; and (2) complete, in the sense that the whole temperature probability density is generated at each spatial location. From these densities, different temperature maps can be derived (most probable, error minimizing, etc., maps), depending on the study objectives. The proposed composite solution is distinguished from the standard (direct) physical model solution in a formal mathematical sense. By means of comparative analysis, it is shown that the numerical composite solution is more informative than the direct temperature solution as well as the analytical solution obtained using simplified boundary conditions (the composite solution offers a more realistic representation of the real-world phenomenon, and unlike the previous methods, it is in agreement with empirical quartz geothermometry analyses). The composite method can be a valuable contribution for scientists and engineers working on incorporating secondary information for improving the quality of the solutions obtained from a physical model in general. Copyright 2007 by the American Geophysical Union.	en
heal.publisher	AMER GEOPHYSICAL UNION	en
heal.journalName	Journal of Geophysical Research B: Solid Earth	en
dc.identifier.doi	10.1029/2006JB004900	en
dc.identifier.isi	ISI:000247691300006	en
dc.identifier.volume	112	en
dc.identifier.issue	6	en