«Automation and Informatization of the fuel and energy complex»

Application of Minkowsky functionals for clasterization of a digital 3D core sample

UDC: 004.21
DOI: 10.33285/2782-604X-2023-8(601)-13-22

Authors:

¹ National University of Oil and Gas "Gubkin University", Moscow, Russia

Keywords: Minkowsky functional, computational morphology, fast Hartley transform, petro-physical parameters, clustering, GPGPU – general-purpose processor unit

Annotation:

The article presents a method for clustering digital 3D models of core samples. The methods for describing the properties of binary 3D-structures digital geometries are considered. The advantages of using Minkowsky functional as a method for describing binary digital 3D-rock models are shown, taking into account their petro-physical characteristics. The methods for calculating the Minkowsky functional are presented. A procedure for constructing their fields based on the Fast Discrete Hartley Transform (FDHT) on the GPGPU is proposed. The results of clustering by this method are demonstrated using a synthetic 2D-model of the void space and a digital 3D-model of a genuine core sample.

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