Two methods of determining permeabilities of naturally fractured rocks from laboratory measurements
US-11519879-B2 · Dec 6, 2022 · US
US2023383648A1 · US · A1
| Field | Value |
|---|---|
| Publication number | US-2023383648-A1 |
| Application number | US-202217804273-A |
| Country | US |
| Kind code | A1 |
| Filing date | May 26, 2022 |
| Priority date | May 26, 2022 |
| Publication date | Nov 30, 2023 |
| Grant date | — |
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A method of determining rock matrix and fracture permeability to perform a reservoir fluid flow simulation. The method includes: obtaining a petrophysical characterization of a formation sample, measuring a first and second elastic wave velocity of the formation sample at a first and second frequency, calculating an average rock matrix density and an average porosity of the formation sample, determining a set of calculated elastic wave velocities for the first and second frequencies over a range of candidate permeabilities, and determining a rock matrix permeability and a fracture permeability based on the set of calculated elastic wave velocities at the first and second frequency respectively. The method further including performing a reservoir fluid flow simulation based, at least in part, on at least one of the rock matrix permeability and the fracture permeability.
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What is claimed: 1 . A method, comprising: obtaining a petrophysical characterization of a formation sample; measuring a first elastic wave velocity of the formation sample at a first frequency and measuring a second elastic wave velocity of the formation sample at a second frequency, wherein the first frequency is lower than the second frequency; calculating, based at least in part on the petrophysical characterization, an average rock matrix density and an average porosity of the formation sample; determining a set of calculated elastic wave velocities for the first frequency over a range of candidate permeabilities and a set of calculated elastic wave velocities for the second frequency over the range of candidate permeabilities; determining a rock matrix permeability based, at least in part, on the set of calculated elastic wave velocities at the first frequency for the average rock matrix density and the average porosity; determining a fracture permeability based, at least in part, on the set of calculated elastic wave velocities at the second frequency for the average rock matrix density and the average porosity; and performing a reservoir fluid flow simulation based, at least in part, on at least one of the rock matrix permeability and the fracture permeability. 2 . The method of claim 1 , further comprising determining a location of a wellbore based, at least in part, on the reservoir fluid flow simulation. 3 . The method of claim 1 , wherein calculating an average rock matrix density and an average porosity comprises calculating a plurality of averages of rock matrix density and calculating a plurality of averages of porosity. 4 . The method of claim 3 , wherein the average rock matrix density and the average porosity comprises an arithmetic mean, a geometric mean, or a harmonic mean. 5 . The method of claim 1 , wherein: a measured elastic wave velocity comprises a measured P-wave phase velocity; a set of calculated elastic wave phase velocities at the first frequency comprises a set of calculated P-wave phase velocities; and a set of calculated elastic wave phase velocities at the second frequency comprises a set of calculated P-wave phase velocities. 6 . The method of claim 1 , wherein obtaining a petrophysical characterization of a formation sample comprises obtaining a core sample and determining at least one petrophysical characteristic of the core sample. 7 . The method of claim 1 , wherein the petrophysical characterization of the formation sample comprises a density of a mineral grain and a volume fraction of the mineral grain, a density of an organic material and a volume fraction of the organic material, a porosity of the formation sample, and a volume fraction of a fracture. 8 . A system, comprising: a core sample analyzer configured to determine: a petrophysical characterization of a formation sample, and a measured elastic wave velocity at a first frequency and a second frequency for the formation sample wherein the first frequency is lower than the second frequency; and a computer processor, configured to: receive a petrophysical characterization of a formation sample; receive a first measured elastic wave velocity of the formation sample at a first frequency and a second measured elastic wave velocity of the formation sample at a second frequency, wherein the first frequency is lower than the second frequency; calculate, based at least in part, on the petrophysical characterization, an average rock matrix density and an average porosity of the formation sample; determine a set of calculated elastic wave velocities for the first frequency over a range of candidate permeabilities and a set of calculated elastic wave velocities for the second frequency over the range of candidate permeabilities; determine a rock matrix permeability based, at least in part, on the set of calculated elastic wave velocities at the first frequency for the average rock matrix density and the average porosity; determine a fracture permeability based, at least in part, on the set of calculated elastic wave velocities at the second frequency for the average rock matrix density and the average porosity; perform a reservoir fluid flow simulation based, at least in part, on at least one of the rock matrix permeability and the fracture permeability; and determine a wellbore path based, at least in part, on the reservoir fluid flow simulation. 9 . The system according to claim 8 , further comprising a drilling system configured to drill a wellbore guided by the wellbore path. 10 . The system according to claim 8 , wherein the average rock matrix density and the average porosity comprise a plurality of averages of rock matrix density and calculating a plurality of averages of porosity. 11 . The system of claim 8 , wherein calculating an average rock matrix density and an average porosity comprises calculating a plurality of averages of rock matrix density and calculating a plurality of averages of porosity. 12 . The system according to claim 8 , wherein: a measured elastic wave velocity comprises a measured P-wave phase velocity; a set of calculated elastic wave phase velocities at the first frequency comprises a set of calculated P-wave phase velocities; and a set of calculated elastic wave phase velocities at the second frequency comprises a set of calculated P-wave phase velocities. 13 . The system according to claim 8 , wherein obtaining a petrophysical characterization of a formation sample comprises obtaining a core sample and determining at least one petrophysical characteristic of the core sample. 14 . The system according to claim 8 , wherein the petrophysical characterization of the formation sample comprises a density of a mineral grain and a volume fraction of the mineral grain, a density of an organic material and a volume fraction of the organic material, a porosity of the formation sample, and a volume fraction of a fracture. 15 . A non-transitory computer readable medium storing a set of instructions executable by a computer processor, the set of instructions comprising functionality for: receiving a petrophysical characterization of a formation sample; receiving a first measured elastic wave velocity of the formation sample at a first frequency and a second measured elastic wave velocity of the formation sample at a second frequency, wherein the first frequency is lower than the second frequency; calculating, based at least in part, on the petrophysical characterization, an average rock matrix density and an average porosity of the formation sample; determining a set of calculated elastic wave velocities for the first frequency over a range of candidate permeabilities and a set of calculated elastic wave velocities for the second frequency over the range of candidate permeabilities; determining a rock matrix permeability based, at least in part, on the set of calculated elastic wave velocities at the first frequency for the average rock matrix density and the average porosity; determining a fracture permeability based, at least in part, on the set of calculated elastic wave velocities at the second frequency for the average rock matrix density and the average porosity; and performing a reservoir fluid flow simulation based, at least in part, on at least one of the rock matrix permeability and the fracture permeability. 16 . The non-transitory computer readable medium of claim 15 , wherein the computer processor is further configured to determine a wellbore path based, at least in part, on the reservoir fluid flow simula
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