A Specific Upscaling Theory of Rock Mass Parameters Exhibiting Spatial Variability: Analytical relations and computational scheme

G. Exadaktylos^{¶}[1] and M. Stavropoulou‡^{}

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^{¶} Mining Engineering Design Laboratory, Department of Mineral Resources Engineering, Technical University of Crete, GR-73100 Chania, Greece.

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*‡**Department of Dynamic, Tectonic and Applied Geology, Faculty of Geology and Geoenvironment, University of Athens, Greece*

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**ABSTRACT**

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In this paper the aspect of the representation of geological conditions in a numerical simulation model is considered. By the expression “geological conditions” we mean the 3D volume geometry of the geological formations, the spatial variability exhibited by the rock parameters inside each of these geological volumes, and the necessary upscaling of the rock deformability and strength parameters that are determined in the laboratory from cores collected in the field. A specific theory is outlined of how to go from laboratory tests, geological information and field measurements and observations to the full-scale numerical or “ground model” that includes apart from initial and boundary conditions and ground water, the rock constitutive laws and associated material parameters for use in simulation models. The term “specific” used in the title of this paper stems from the fact that other possible approaches for the same problem may be applied; i.e. empirical rock mass classification systems, explicit modelling of joints in rock by the distinct element or finite element methods, homogenization techniques etc. The manner of taking into account the spatial variability of rock mass properties by virtue of Geostatistical Theory and 3D modelling tools is also outlined with an example case study.

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[1] Corresponding author. Tel.: +30 28210 37690; fax: +30 28210 37891. E-mail address: This e-mail address is being protected from spambots. You need JavaScript enabled to view it (G. Exadaktylos).