Abstract

Image segmentation is a crucial step of almost any Digital Rock workflow. In this paper, we propose an approach for generation of a labelled dataset and investigate an application of three popular convolutional neural networks (CNN) architectures for segmentation of 3D microtomographic images of samples of various rocks. Our dataset contains eight pairs of images of five specimens of sand and sandstones. For each sample, we obtain a single set of microtomographic shadow projections, but run reconstruction twice: one regular high-quality reconstruction, and one using just a quarter of all available shadow projections. Thoughtful manual Indicator Kriging (IK) segmentation of the full-quality image is used as the ground truth for segmentation of images with reduced quality. We assess the generalization capability of CNN by splitting our dataset into training and validation sets by five different manners. In addition, we compare neural networks results with segmentation by IK and thresholding. Segmentation outcomes by 2D and 3D U-nets are comparable to IK, but the deep neural networks operate in automatic mode, and there is big room for improvements in solutions based on CNN. The main difficulties are associated with the segmentation of fine structures that are relatively uncommon in our dataset.

Highlights

  • The concept of a digital twin of a core sample allowing for numerical analysis of its physical and lithological properties arose several years ago [1,2]

  • The microcomputed tomography (microCT) system acquires a series of shadow projections over 180◦ or 360◦ rock sample rotation

  • Where p, q are indices of pixel; Region of Interest (ROI) is the region of interest depicted in Figure 6; l is the number of slices; Sb is the matrix of predicted labels; S is the matrix of ground truth labels

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Summary

Introduction

The concept of a digital twin of a core sample allowing for numerical analysis of its physical and lithological properties arose several years ago [1,2]. Digital Rock (DR) physics workflow consists of imaging and digitizing the pore space and substances of a natural rock sample and subsequent numerical simulation of various physical processes in this digital model. It has a number of benefits with respect to traditional lab core analysis. DR technology is becoming more and more attractive nowadays due to development of image acquisition and processing methods. The first step is image acquisition by X-ray microcomputed tomography (microCT) [12]. Quality of 3D image depends on the number of projections used in the reconstruction procedure. One of the key steps in the Computers 2019, 8, 72; doi:10.3390/computers8040072 www.mdpi.com/journal/computers

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