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The Internal Topology of Rocks

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Statistical Rock Physics

Part of the book series: Earth and Environmental Sciences Library ((EESL))

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We discuss the modern mathematical tools for studying the topology of pore space. In Sect. 3.1. Minkowski functionals are introduced through the paradigm of Mark Kac (Kac, Am Math Monthly 73:1–24, 1966) ‘Can one hear the shape of a drum?’. Euler characteristics, a powerful tool to study connectivity is treated in 3.2. The elegant and sophisticated research tool, Persistent Homology, is built up in a series of easy-to-follow steps in 3.3. The abstract constructions are illustrated with practical examples, and there are copious references in the text and in Tables (3.1, 3.4, 3.11) for their use in Petrophysics.

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  1. Earth Sciences, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia

    Gabor Korvin

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Korvin, G. (2024). The Internal Topology of Rocks. In: Statistical Rock Physics. Earth and Environmental Sciences Library. Springer, Cham. https://doi.org/10.1007/978-3-031-46700-4_3

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