Abstract: A method for determining in-situ relationships between physical properties of a porous medium from a sample thereof includes acquiring a three-dimensional image of the sample and segmenting the image into pixels representing pore space and pixels representing rock grain. A plurality of sub-volumes are selected from the segmented image, and a porosity is calculated for each of the sub-volumes. A digital simulation is conducted on each of the sub-volumes to obtain a selected physical property for the sub-volume. A relationship is determined between porosity and the selected physical property using relationship data comprising the calculated porosity and the simulated physical property for each of the sub-volumes. The method includes at least one of storing and displaying the relationship.

Abstract: A method for estimating a relationship between physical properties of a porous material from a sample thereof includes making a three dimensional tomographic image of the sample of the material. The image is segmented into pixels each representing pore space or rock grains. The image is divided into sub-volumes. A porosity is estimated for each sub-volume. At least one petrophysical parameter is modeled from the image of each sub-volume. A relationship between the porosity and the at least one modeled petrophysical parameter is determined by, e.g., a best-fit statistical method. The relationship and the modeled petrophysical parameter for each sub-volume are stored in a computer or displayed.

Abstract: A method for estimating at least one elastic-wave-related property of a porous material from a sample thereof includes making a three dimensional tomographic image of the sample of the material. The image is segmented into pixels each representing pore space or rock grain. Bulk modulus and shear modulus of the porous material are determined from the segmented image at a frequency corresponding to mobile fluid. Bulk modulus and shear modulus of the porous material are determined from the segmented image at a frequency corresponding to immobile fluid. The at least one elastic-wave-related property is determined from the mobile fluid and immobile fluid moduli. The method includes at least one of storing and displaying the at least one elastic-wave-related property so determined.

Abstract: A method for estimating a petrophysical parameter from a rock sample includes making a three dimensional tomographic image of the sample of the material. The image is segmented into pixels each representing pore space or rock grain. Porosity of the sample is determined from the segmented image. An image of at least one fracture is introduced into the segmented image to generate a fractured image. The porosity of the fractured image is determined. At least one petrophysical parameter related to the pore-space geometry is estimated from the fractured image.

Abstract: A method for estimating permeability properties of a porous material from a sample thereof includes making a three dimensional tomographic image of the sample of the material. The image is segmented into pixels each representing pore space or rock grains. The image is divided into sub-volumes. A porosity is estimated for each sub-volume. The components of a permeability tensor are determined by conducting simulations. Principal permeability values and directions are then calculated. The permeability properties are stored in a computer or displayed.

Abstract: A method for estimating permeability properties of a porous material from a sample thereof includes making a three dimensional tomographic image of the sample of the material. The image is segmented into pixels each representing pore space or rock grains. The image is divided into sub-volumes. A porosity is estimated for each sub-volume. The components of a permeability tensor are determined by conducting simulations. Principal permeability values and directions are then calculated. The permeability properties are stored in a computer or displayed.

Abstract: A method for estimating a relationship between physical properties of a porous material from a sample thereof includes making a three dimensional tomographic image of the sample of the material. The image is segmented into pixels each representing pore space or rock grains. The image is divided into sub-volumes. A porosity is estimated for each sub-volume. At least one petrophysical parameter is modeled from the image of each sub-volume. A relationship between the porosity and the at least one modeled petrophysical parameter is determined by, e.g., a best-fit statistical method. The relationship and the modeled petrophysical parameter for each sub-volume are stored in a computer or displayed.

Abstract: A method for estimating at least one elastic-wave-related property of a porous material from a sample thereof includes making a three dimensional tomographic image of the sample of the material. The image is segmented into pixels each representing pore space or rock grain. Bulk modulus and shear modulus of the porous material are determined from the segmented image at a frequency corresponding to mobile fluid. Bulk modulus and shear modulus of the porous material are determined from the segmented image at a frequency corresponding to immobile fluid. The at least one elastic-wave-related property is determined from the mobile fluid and immobile fluid moduli. The method includes at least one of storing and displaying the at least one elastic-wave-related property so determined.

Abstract: A method for determining in-situ relationships between physical properties of a porous medium from a sample thereof includes acquiring a three-dimensional image of the sample and segmenting the image into pixels representing pore space and pixels representing rock grain. A plurality of sub-volumes are selected from the segmented image, and a porosity is calculated for each of the sub-volumes. A digital simulation is conducted on each of the sub-volumes to obtain a selected physical property for the sub-volume. A relationship is determined between porosity and the selected physical property using relationship data comprising the calculated porosity and the simulated physical property for each of the sub-volumes. The method includes at least one of storing and displaying the relationship.

Abstract: A method for estimating a petrophysical parameter from a rock sample includes making a three dimensional tomographic image of the sample of the material. The image is segmented into pixels each representing pore space or rock grain. Porosity of the sample is determined from the segmented image. An image of at least one fracture is introduced into the segmented image to generate a fractured image. The porosity of the fractured image is determined. At least one petrophysical parameter related to the pore-space geometry is estimated from the fractured image.