Estimate the Effective Elastic Properties of Digitized Porous Rocks by Inverting the Cracks Unresolved
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paper3_Zhang_cracks_2010.pdf
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Author(s)
Zhang, Yang
Toksoz, M. Nafi
Date Issued
2010
Publisher
Massachusetts Institute of Technology. Earth Resources Laboratory
Series/Report no.
Earth Resources Laboratory Industry Consortia Annual Report;2010-03
Abstract
Current imaging technique such as micro X-ray CT can provide us detailed 3D micro-structures of porous
rocks that can be used in numerical simulation so as to predict elastic properties of rocks saturated with
different fluids. However, limited by the resolution the imaging process can provide, we usually lose the
small features of rocks such as cracks and micro-pores, consequences of which can cause over-predicted
effective elastic properties of porous rocks. In this paper, we present an inversion scheme to estimate the
lost cracks during imaging process with Monte-Carlo algorithm. This method combines numerical
simulation with theoretical models – the differential effective media model and Kuster-Toksöz model.
Compared to the traditional inversion algorithms solely based on theoretical models, the algorithm
presented in this paper utilizes the micro-structures of porous rocks resolved and takes the advantages of
computational results from the digitized rocks, which in fact provides us much information of rocks and
limits our inversion space for cracks. At end, we demonstrate the capability of this method on predicting
the elastic properties of Berea sandstones measured in laboratory.
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