Geostatistical modeling of permeability and application to geothermal reservoir simulation
Abstract
This study employs a geostatistical methodological approach to evaluate the permeability of the reservoir, which is first analyzed through statistical characterization, experimental variogram construction, and theoretical model fitting to establish the continuity and variability of the formation. Ordinary kriging is applied to generate deterministic permeability estimates, while Sequential Gaussian Simulation is used to produce stochastic realizations that capture the intrinsic heterogeneity of the geological medium. These geostatistical results provide the permeability inputs required for the subsequent thermal reservoir simulation. The permeability fields obtained from SGeMS were incorporated into a geothermal reservoir model developed in OPM Flow, representing a configuration of injection and production wells. In this stage of the study, the primary focus is the evolution of temperature within the reservoir, particularly the thermal front propagation between the injector and producer wells over long-t erm operation. Post-processing and visualization were conducted in ReInsight. The integrated workflow demonstrates the value of combinin g geostatistical modeling with thermal reservoir simulation to better assess formation heterogeneity, predict temperature distribution over time, and support data-driven decision- making in reservoir management.Keywords:
geostatistics, variogram modeling, ordinary kriging, Sequential Gaussian Simulation, permeability modeling, thermal reservoir simulation, injection–production system, temperature distribution. 1.Introduction The development of petroleum and geothermal resources relies heavily on accurate reservoir characterization. Spatial variability in permeability influences fluid flow, heat transport, production efficiency, and overall reservoir management strategies. Geost atistical methods provide a quantitative framework for analysing spatial data, modelling uncertainty, and generating high- resolution reservoir models suitable for integration with numerical simulation tools. This study employs a full geostatistical workflow- including statistical analysis, variogram modelling, kriging estimation, and Sequential Gaussian Simulation - to characterise the spatial behaviour of key reservoir propertiesDownloads
References
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References
Journel, A. G., and C. J. Huijbregts. 1978. Mining Geostatistics. Vol. 1. Academic Press.
Isaaks, E. H., and R. M. Srivastava. 1989. An Introduction to Applied Geostatistics. Vol. 1. Oxford University Press.
Goovaerts, P. 1997. Geostatistics for Natural Resources Evaluation. Vol. 1. Oxford University Press.
Matheron, G. 1963. “Principles of Geostatistics.” Economic Geology 58:1246–1266.
Deutsch, C. V., and A. G. Journel. 1998. GSLIB: Geostatistical Software Library and User’s Guide. Vol. 2. Oxford University Press.
Chen, Z., G. Huan, and Y. Ma. 2006. Computational Methods for Multiphase Flows in Porous Media. Vol. 1. SIAM Publications.
Bear, J. 1988. Dynamics of Fluids in Porous Media. Vol. 1. Dover Publications.
Pruess, K., C. Oldenburg, and G. Moridis. 1999. “TOUGH2 User’s Guide: Version 2.0.” Lawrence Berkeley National Laboratory Report LBNL-43134.
Horne, R. N. 1995. Modern Well Test Analysis. Vol. 2. Petroway Inc.
Rubin, Y. 1991. “Applied Stochastic Modeling of Groundwater Flow.” Water Resources Research 27(5):1111–1125.



