Material properties from two-dimensional image

1. A method for analyzing a rock sample, comprising:

segmenting a digital image volume corresponding to an image of the rock sample, to associate voxels in the digital image volume with a plurality of rock fabrics of the rock sample;

identifying a first set of digital planes through the digital image volume, wherein the first set of digital planes comprises a plurality of digital planes that intersects with each of the plurality of rock fabrics;

identifying a second set of digital planes through the digital image volume, wherein the second set of digital planes intersects with each of the plurality of rock fabrics, and wherein a number of digital planes in the second set is less than a number of digital planes in the first set;

machining the rock sample to expose physical facets) that correspond to the identified second set of digital planes;

performing scanning electron microscope (SEM) imaging of the physical face(s) to generate two-dimensional (2D) SEM images of the physical face(s); and

performing image processing on the SEM images to determine a material property associated with each of the rock fabrics.

2. The method of claim 1 , wherein performing SEM imaging further comprises:

performing SEM imaging at a first resolution to generate a first 2D SEM image; and

performing SEM imaging at a second resolution different than the first resolution to generate a second 2D SEM image; and

generating a set of multi-scale SEM images based on the SEM imaging at the first and second resolutions, wherein the set of multi-scale SEM images includes at least a first threshold number of the plurality of rock fabrics.

3. The method of claim 2 , wherein the number of rock fabrics present in the first 2D SEM image is determined by:

identifying a number of patterns among regions of the first 2D SEM image;

wherein a pattern comprises pixels sharing an attribute including porosity, a ratio of compositional phases, or an image entropy; and

wherein the second 2D SEM image is of a location in the first 2D SEM image containing at least the first threshold number of identified patterns.

4. The method of claim 2 , further comprising:

generating a probability map of different fabrics within the first 2D SEM image;

identifying a first area within the first 2D SEM image, wherein the first area contains a first number of pixels associated with a primary fabric type and a second number of pixels associated with fabrics other than the primary fabric type;

wherein a ratio of the first number to the second number is greater than a second threshold;

wherein the second 2D SEM image is of the first area; and

wherein the second resolution is finer than the first resolution.

5. The method of claim 1 further comprising:

applying a cross-correlation function to a first 2D SEM image and a second 2D SEM image to generate a three-dimensional (3D) digital model volume based on the first and second 2D SEM images;

wherein a numeric value of a voxel in the 3D digital model volume is determined based on a spatial distribution of pixel values in each of the first and second 2D SEM images.

6. The method of claim 5 , wherein a resolution of the 3D digital model volume is finer than a resolution of the digital image volume.

7. The method of claim 5 , wherein an axial orientation of the first 2D SEM image is different than an axial orientation of the second 2D SEM image.

8. The method of claim 5 , further comprising:

applying the cross-correlation function to a plurality of the 2D SEM images to generate a plurality of 3D digital model volumes for each of the plurality of rock fabrics; and

performing direct numerical simulations using the plurality of 3D digital model volumes as a modeling grid for one of the rock fabrics to determine the material property for the one of the rock fabrics.

9. The method of claim 8 , wherein the material properties comprise one or more selected from the group consisting of: porosity, pore size distributions, permeability, capillary pressure, electric resistivity, and elastic moduli.

10. The method of claim 1 , further comprising:

associating the determined material properties of each rock fabric to the voxels in the digital image volume; and

mapping the voxels in the digital image volume to a physical coordinate space associated with the rock sample;

wherein the material property mapped to a voxel in the digital image volume is sampled from a distribution of properties measured for a fabric of the voxel to generate a composite volumetric grid of properties.

11. A system for analyzing a rock sample, comprising:

a first imaging device configured to produce a digital image volume representative of the rock sample;

a scanning electron microscope (SEM) configured to generate two-dimensional (2D) SEM images of physical faces of the rock sample; and

a computing device coupled to the imaging device and SEM and comprising:

a processor; and

a memory coupled to the processor and configured to store instructions that, when executed by the processor, configure the computing device to:

segment the digital image volume, to associate voxels in the digital image volume with a plurality of rock fabrics of the rock sample;

identify a first set of digital planes through the digital image volume, wherein the first set of digital planes comprises a plurality of digital planes that intersects with each of the plurality of rock fabrics;

identify a second set of digital planes through the digital image volume, wherein the second set of digital planes intersects with each of the plurality of rock fabrics and corresponds to the physical faces, and wherein a number of digital planes in the second set is less than a number of digital planes in the first set; and

perform image processing on the SEM images to determine a material property associated with each of the rock fabrics,

wherein the physical faces correspond to the identified second set of digital planes.

12. The system of claim 11 , wherein the instructions, when executed by the processor, configure the computing device to:

apply a cross-correlation function to a first 2D SEM image and a second 2D SEM image to generate a three-dimensional (3D) digital model volume based on the first and second 2D SEM images;

wherein a numeric value of a voxel in the 3D digital model volume is determined based on a spatial distribution of pixel values in each of the first and second 2D SEM images.

13. The system of claim 12 , wherein a resolution of the 3D digital model volume is finer than a resolution of the digital image volume.

14. The system of claim 12 , wherein an axial orientation of the first SEM image is different than an axial orientation of the second 2D SEM image.

15. The system of claim 12 , wherein the instructions, when executed by the processor, configure the computing device to:

apply the cross-correlation function to a plurality of the 2D SEM images to generate a plurality of 3D digital model volumes for each of the plurality of rock fabrics; and

perform direct numerical simulations using the plurality of 3D digital model volumes as a modeling grid for one of the rock fabrics to determine the material property for the one of the rock fabrics;

wherein the material properties comprise one or more selected from the group consisting of: porosity, pore size distributions, permeability, capillary pressure, electric resistivity, and elastic moduli.

16. A non-transitory, computer-readable medium encoded with instructions that, when executed by a processor, cause the processor to:

segment a digital image volume corresponding to an image of a rock sample, to associate voxels in the digital image volume with a plurality of rock fabrics of the rock sample;

identify a first set of digital planes through the digital image volume, wherein the first set of digital planes comprises a plurality of digital planes that intersects with each of the plurality of rock fabrics;

identify a second set of digital planes through the digital image volume, wherein the second set of digital planes intersects with each of the plurality of rock fabrics, and wherein a number of digital planes in the second set is less than a number of digital planes in the first set;

receive two-dimensional (2D) scanning electron microscope (SEM) images of physical faces of the rock sample that correspond to the identified second set of digital planes; and

perform image processing on the SEM images to determine a material property associated with each of the rock fabrics.

17. The non-transitory, computer-readable medium of claim 16 , wherein the instructions, when executed by the processor, cause the processor to:

apply a cross-correlation function to a first 2D SEM image and a second 2D SEM image to generate a three-dimensional (3D) digital model volume based on the first and second 2D SEM images;

wherein a numeric value of a voxel in the 3D digital model volume is determined based on a spatial distribution of pixel values in each of the first and second 2D SEM images.

18. The non-transitory, computer-readable medium of claim 17 , wherein a resolution of the 3D digital model volume is finer than a resolution of the digital image volume.

19. The non-transitory, computer-readable medium of claim 17 , wherein an axial orientation of the first SEM image is different than an axial orientation of the second 2D SEM image.

20. The non-transitory, computer-readable medium of claim 17 , wherein the instructions, when executed by the processor, cause the processor to:

apply the cross-correlation function to a plurality of the 2D SEM images to generate a plurality of 3D digital model volumes for each of the plurality of rock fabrics; and

perform direct numerical simulations using the plurality of 3D digital model volumes as a modeling grid for one of the rock fabrics to determine the material property for the one of the rock fabrics;

wherein the material properties comprise one or more selected from the group consisting of: porosity, pore size distributions, permeability, capillary pressure, electric resistivity, and elastic moduli.