Permeability determinations from wideband em models using borehole logging tools
US-2021157025-A1 · May 27, 2021 · US
US12104487B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-12104487-B2 |
| Application number | US-202016943342-A |
| Country | US |
| Kind code | B2 |
| Filing date | Jul 30, 2020 |
| Priority date | Jul 30, 2020 |
| Publication date | Oct 1, 2024 |
| Grant date | Oct 1, 2024 |
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Examples described herein provide a computer-implemented method for deriving textural properties of a reservoir formation. The method includes acquiring multi-frequency dielectric data (ε meas ). The method further includes applying a dielectric mixing model between different fluid phases to generate an effective fluid permittivity (ε fluid ) by mixing the permittivity of water and hydrocarbon fluids. The method further includes applying the dielectric mixing model between the effective fluid permittivity (ε fluid ) and a matrix permittivity (ε m ). The method further includes minimizing a difference between a measured dielectric response and the dielectric mixing model by optimizing model parameters. The method further includes computing a cementation exponent (m) and a saturation exponent (n) from the multi-frequency dielectric data (ε meas ). The method further includes estimating a formation property based at least in part on the cementation exponent (m) and the saturation exponent (n). A wellbore operation is controlled based at least in part on the formation property.
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What is claimed is: 1. A method for deriving textural properties of a reservoir formation, the method comprising: acquiring multi-frequency dielectric data (ε meas ); applying a dielectric mixing model between different fluid phases to generate an effective fluid permittivity (ε fluid ) by mixing the permittivity of water and hydrocarbon fluids; applying the dielectric mixing model between the effective fluid permittivity (ε fluid ) and a matrix permittivity (ε m ) to generate an effective permittivity (ε eff ); minimizing a difference between a measured dielectric response and the effective permittivity by optimizing model parameters, wherein minimizing the difference between the measured dielectric response and the effective permittivity comprises optimizing a water saturation, a textural parameter for water/oil interfaces, and a textural parameter for fluids/matrix interfaces; computing a cementation exponent (m) and a saturation exponent (n) from the multi-frequency dielectric data (ε meas ); estimating a textural property of the resorvoir formation based at least in part on the cementation exponent (m) and the saturation exponent (n); and controlling a wellbore operation based at least in part on the textural property of the reservoir formatiom. 2. The method of claim 1 , wherein the effective permittivity (ε eff ) for a porous media, partially filled with water and hydrocarbon fluids, is expressed as: ε eff =ψ(Ø, S w ,ε w ,ε m ,ε HC ,λ w ,λ HC ,λ m ) where ψ represents the dielectric mixing model, ε eff is the effective, ε w is a permittivity of water, ε HC is a permittivity of hydrocarbon, ε m is the matrix permittivity, Ø is a porosity of a medium, S w is a water saturation, λ w is a textural parameter related to water phase, λ HC is a textural parameter related to hydrocarbon phase, and λ m is a textural parameter related to a matrix. 3. The method of claim 1 , wherein the multi-frequency dielectric data (ε meas ) is measured from the reservoir formation. 4. The method of claim 1 , further comprising computing the matrix permittivity (ε m ) from different minerals. 5. The method of claim 4 , further comprising measuring a measured cementation exponent (m) and a measured saturation exponent (n) from a plurality of core plugs with a formation type similar to a type of the reservoir formation. 6. The method of claim 5 , further comprising: correlating between the measured cementation exponent (m) and the textural parameter for fluids/matrix interfaces; and correlating between the measured saturation exponent (n) and the textural parameter for water/oil interfaces. 7. The method of claim 1 , wherein the dielectric mixing model accounts for a polarization between different fluid phases to extract a textural parameter related to the saturation exponent (n), and a polarization between a matrix and the different fluid phases to extract a textural parameter related to the cementation exponent (m). 8. The method of claim 1 , wherein controlling the wellbore operation based at least in part on the textural property of the reservoir formation comprises causing, by an autonomous drilling system, a drilling rig to be autonomously controlled based at least in part on the textural property of the reservoir formation. 9. A method for evaluating petrophysical textural parameters based on acoustic velocity measurements and multi-frequency dielectric measurements, the method comprising: acquiring the multi-frequency dielectric measurements at a plurality of frequencies using a plurality of transmitters, the multi-frequency dielectric measurements performed at a partially saturated formation at a first depth; acquiring the acoustic velocity measurements by transmitting and receiving elastic compressional or shear waves inside the partially saturated formation at the first depth; integrating the acoustic velocity measurements into a dielectric mixing model, the dielectric mixing model generated by mixing a permittivity of multiple fluids in a fluid mixture, to provide an effective permittivity of the multiple fluids and a matrix permittivity; estimating a textural parameter (λ fluid ) of the fluid mixture or a saturation exponent (n) related to the textural parameter, wherein the estimating includes substituting a matrix textural parameter (λ m ) or a related cementation exponent (m) with a function that includes at least one of a compressional wave velocity (V p ), a shear wave velocity (V s ), and a ratio of the compressional wave velocity (V p ) to the shear wave velocity (V s ); and controlling a wellbore operation based at least in part on the textural parameter (λ fluid ) of the fluid mixture. 10. The method of claim 9 , further comprising comparing a measured multi-frequency dielectric constant of the partially saturated formation and a dielectric constant calculated from the dielectric mixing model. 11. The method of claim 10 , wherein the comparing is performed using the following equation: ε eff =ψ(Ø, S w ,ε w ,ε m ,ε HC ,λ w ,λ HC ,αV p ) wherein ψ is the dielectric mixing model, ε eff is the effective permittivity of the multiple fluids, Ø is a porosity of a medium, S w is a water saturation, ε w is a permittivity of water, ε m is the matrix permittivity, ε HC is a permittivity of a hydrocarbon, λ w is a textural parameter related to a water phase, λ HC is a textural parameter related to a hydrocarbon phase, and α is a proportionality constant to relate the compressional wave velocity (V p ) with the cementation exponent (m) from standard core analysis. 12. The method of claim 11 , wherein the compressional wave velocity (V p ) is substituted by another acoustic measurement. 13. The method of claim 10 , wherein the wellbore operation is one of a wireline logging operation or a logging while drilling operation. 14. The method of claim 9 , wherein controlling the wellbore operation based at least in part on the textural parameter of the fluid mixture comprises causing, by an autonomous drilling system, a drilling rig to be autonomously controlled based at least in part on the textural parameter of the fluid mixture. 15. The method of claim 12 , wherein the another acoustic measurement includes at least one of the shear wave velocity (V s ) and the ratio of the compressional wave velocity (V p ) to the shear wave velocity (V s ). 16. The method of claim 12 , further comprising obtaining the function by comparing the compressional wave velocity (V p ), the shear wave velocity (V s ), or the ratio of the compressional wave velocity (V p ) to the shear wave velocity (V s ) to the matrix textural parameter or a cementation exponent for a formation region having a formation type that is similar to the partially saturated formation at the first depth.
Geomodelling in general · CPC title
Analysing data · CPC title
Automatic control systems specially adapted for drilling operations, i.e. self-operating systems which function to carry out or modify a drilling operation without intervention of a human operator, e.g. computer-controlled drilling systems; Systems specially adapted for monitoring a plurality of drilling variables or conditions · CPC title
for determining velocity profiles or travel times · CPC title
Transmitting data to recording or processing apparatus; Recording data · CPC title
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