Eliminating discrete fracture network calculations by rigorous mathematics
US-2017175507-A1 · Jun 22, 2017 · US
US10329904B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-10329904-B2 |
| Application number | US-201615074621-A |
| Country | US |
| Kind code | B2 |
| Filing date | Mar 18, 2016 |
| Priority date | Mar 18, 2016 |
| Publication date | Jun 25, 2019 |
| Grant date | Jun 25, 2019 |
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Examples of techniques for determining robustness of a discrete fracture network (DFN) permeability estimate are disclosed. In one example implementation according to aspects of the present disclosure, a method may include: receiving a DFN of an earth formation of interest, the DFN comprising a plurality of connected fractures; determining a directional equivalent permeability of the plurality of connected fractures of the DFN using a numerical upscaling method; and determining the robustness of the directional equivalent permeability.
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What is claimed is: 1. A method for determining robustness of a discrete fracture network (DFN) permeability estimate, the method comprising: collecting a core sample of an earth formation of interest; generating the DFN of the earth formation of interest from the core sample; receiving a DFN of the earth formation of interest, the DFN comprising a plurality of connected fractures; determining, by a processing device, a directional equivalent permeability of the plurality of connected fractures of the DFN using a numerical upscaling method by capturing a series of slices taken incrementally about a center point of the DFN; determining, by the processing device, the robustness of the directional equivalent permeability; and performing an action relating to the earth formation of interest using the directional equivalent permeability, the action comprising aligning a tool in a direction determined by the directional equivalent permeability. 2. The method of claim 1 , wherein the directional equivalent permeability is a first directional equivalent permeability, and wherein determining the robustness of the first directional equivalent permeability comprises comparing the directional equivalent permeability to a second directional equivalent permeability. 3. The method of claim 1 , wherein determining the robustness of the directional equivalent permeability comprises computing a robustness measure based on a change in the directional equivalent permeability. 4. The method of claim 3 , wherein the change in the directional equivalent permeability includes at least one selected from the group consisting of: a number of steps between neighboring angles, a size of steps between neighboring angles, a slope of an equivalent permeability with changing direction, a variance measure computed with changes in an equivalent permeability with direction. 5. The method of claim 3 , wherein the robustness measure of the directional equivalent permeability is compared with the robustness measures from another DFN. 6. The method of claim 1 , wherein the action comprises: performing in-fill drilling in a direction determined by the directional equivalent permeability. 7. The method of claim 1 , wherein the action comprises: performing a reservoir stimulation in a direction determined by the directional equivalent permeability. 8. The method of claim 1 , wherein the numerical upscaling method comprises performing a perfect fit analysis. 9. A method for determining robustness of a discrete fracture network (DFN) permeability estimate, the method comprising: receiving a DFN of an earth formation of interest, the DFN comprising a plurality of connected fractures; determining, by a processing device, a directional equivalent permeability of the plurality of connected fractures of the DFN using a numerical upscaling method; determining, by the processing device, the robustness of the directional equivalent permeability; and performing an action relating to the earth formation of interest using the directional equivalent permeability, the action comprising aligning a tool in a direction determined by the directional equivalent permeability, wherein the directional equivalent permeability is a first directional equivalent permeability, and wherein determining the robustness of the first directional equivalent permeability comprises comparing the directional equivalent permeability to a second directional equivalent permeability, and wherein comparing further comprises comparing smoothness between the first directional equivalent permeability and the second directional equivalent permeability. 10. The method of claim 9 , wherein comparing further comprises calculating a difference between the first directional equivalent permeability to the second directional equivalent permeability, where the first directional equivalent permeability is scaled by a constant factor. 11. The method of claim 10 , wherein the difference represents a difference in a smoothness of a graphical representation of the first directional equivalent permeability and the second directional equivalent permeability. 12. A system for determining robustness of a discrete fracture network (DFN) permeability estimate, the system comprising: a memory having computer readable instructions; and a processing device for executing the computer readable instructions, the computer readable instructions comprising: receiving a DFN of an earth formation of interest, the DFN comprising a plurality of connected fractures; determining a first directional equivalent permeability of the plurality of connected fractures of the DFN using a numerical upscaling method by capturing a first series of slices taken incrementally about a center point of the DFN; determining a second directional equivalent permeability of the plurality of connected fractures of the DFN using Oda's method by capturing a second series of slices taken incrementally about a center point of the DFN, wherein the DFN is cropped to fit the second series of slices; determining a robustness of the first directional equivalent permeability by comparing the first directional equivalent permeability to the second directional equivalent permeability; and performing an action relating to the earth formation of interest using the first directional equivalent permeability, wherein the performing the action comprises aligning a drill in a direction determined by the first directional equivalent permeability. 13. The system of claim 12 , wherein comparing the first directional equivalent permeability to the second directional equivalent permeability comprises calculating a difference between the first directional equivalent permeability to the second directional equivalent permeability. 14. The system of claim 13 , wherein the difference represents a difference in a smoothness of a graphical representation of the first directional equivalent permeability and the second directional equivalent permeability.
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