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Open AccessArticle

Validation of Digital Rock Physics Algorithms

by Rongrong Lin 1,* and Leon Thomsen 1,2
1
Department of Earth and Atmospheric Sciences, University of Houston, Houston, TX 77204, USA
2
Delta Geo LLC, Houston, TX 77002, USA
*
Author to whom correspondence should be addressed.
Minerals 2019, 9(11), 669; https://doi.org/10.3390/min9110669
Received: 23 September 2019 / Revised: 28 October 2019 / Accepted: 29 October 2019 / Published: 31 October 2019
(This article belongs to the Special Issue Mineral Physics—In Memory of Orson Anderson)
With a detailed microscopic image of a rock sample, one can determine the corresponding 3-D grain geometry, forming a basis to calculate the elastic properties numerically. The issues which arise in such a calculation include those associated with image resolution, the registration of the digital numerical grid with the digital image, and grain anisotropy. Further, there is a need to validate the numerical calculation via experiment or theory. Because of the geometrical complexity of the rock, the best theoretical test employs the Hashin–Shtrikman result that, for an aggregate of two isotropic components with equal shear moduli, the bulk modulus is uniquely determined, independent of the micro-geometry. Similarly, for an aggregate of two isotropic components with a certain combination of elastic moduli defined herein, the Hashin–Shtrikman formulae give a unique result for the shear modulus, independent of the micro-geometry. For a porous, saturated rock, the solid incompressibility may be calculated via an “unjacketed” test, independent of the micro-geometry. Any numerical algorithm proposed for digital rock physics computation should be validated by successfully confirming these theoretical predictions. Using these tests, we validate a previously published staggered-grid finite difference damped time-stepping algorithm to calculate the static properties of digital rock models. View Full-Text
Keywords: digital rock physics; Hashin–Shtrikman; finite-difference; staggered grid digital rock physics; Hashin–Shtrikman; finite-difference; staggered grid
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Lin, R.; Thomsen, L. Validation of Digital Rock Physics Algorithms. Minerals 2019, 9, 669.

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