Method and apparatus for chemometric estimations of fluid density, viscosity, dielectric constant, and resistivity from mechanical resonator data
The present invention provides a chemometric equation to estimate fluid density, viscosity, dielectric constant and resistivity for a formation fluid sample downhole. The chemometric estimates can be used directly as estimated values for fluid density, viscosity, dielectric constant and resistivity for a formation fluid sample downhole. The chemometric estimates can also be plugged into a Levenberg-Marquardt (LM) non-linear least squares fit, as an initial estimate of the parameter to be estimated by the LM fit. If the initial parameter estimate is too far from the actual parameter values, the LM algorithm may take a long time to converge or even fail to converge entirely. The present invention estimates an initial value of a parameter that provides a high probability that the LM algorithm will converge to a global minimum.
1. An apparatus for determining the properties of a fluid downhole comprising:
(a) a resonator in contact with the fluid downhole, wherein the resonator electrical impedance is responsive to properties of the fluid;
(b) a controller that actuates the resonator;
(c) a monitor for measuring electrical impedance of the resonator and
(d) a processor that chemometrically estimates the property of the fluid using the response of the resonator to the actuation.
2. The apparatus of claim 1 , wherein the processor correlates a measured resonator response with known fluid property values.
3. The apparatus of claim 1 , wherein the property is viscosity.
4. The apparatus of claim 1 , wherein the property is density.
5. The property of claim 1 , wherein the property is dielectric constant.
6. The apparatus of claim 1 , wherein the property is resistivity.
7. The apparatus of claim 1 , the processor applies the chemometrically estimated property to a Levenberg-Marquardt (LM) algorithm to determine a fluid parameter value for the fluid.
8. The downhole tool of claim 7 , wherein the fluid parameter value comprises a global minimum for the LM algorithm.
9. A method for determining a property of a fluid downhole the method comprising:
(a) positioning a resonator adjacent to the downhole fluid;
(b) actuating the resonator;
(c) measuring the electrical impedance response of the resonator to the actuation; and
(d) chemometrically estimating a value of a property of the fluid downhole based on the measured response while the fluid is one of (i) being pumped, and (ii) static, wherein the property of the fluid is selected from the list consisting of viscosity, density, dielectric constant and resistivity.
10. The method of claim 9 , further comprising: correlating the response with known fluid property values.
11. The apparatus of claim 9 , the processor applies the chemometrically estimated property to a Levenberg-Marquardt (LM) algorithm to determine a fluid parameter value for the fluid.
12. The method of claim 11 , wherein the fluid parameter value comprises a global minimum for the LM algorithm.
13. A system for determining the properties of a downhole fluid, the system comprising:
(a) a surface controller that lowers a tool deployed in a well bore formed in an adjacent formation, the tool interacting with a down hole fluid;
(b) a resonator in contact with the downhole fluid;
(c) a controller that actuates the resonator; and
(d) a processor that estimates a value of a property for the downhole fluid using an electrical impedance response of the resonator and uses a chemometric equation.
14. The system of claim 13 , wherein the processor applies a function applying the resonator response to a chemometric equation to determine the fluid property value.
15. The system of claim 13 , wherein the processor uses a function for deriving a chemometric equation from measured resonator response correlated with known fluid property values.
16. The system of claim 13 , wherein the parameter value property is viscosity.
17. The system of claim 13 , wherein the parameter value property is density.
18. The system of claim 13 , wherein the parameter value is dielectric constant.
19. The system of claim 13 , wherein the parameter value property is resistivity.
20. The apparatus of claim 13 , the processor applies the chemometrically estimated property to a Levenberg-Marquardt (LM) algorithm to determine a fluid parameter value for the fluid.
21. The system of claim 20 , wherein the fluid parameter value comprises a global minimum for the LM algorithm.
22. The apparatus of claim 1 wherein the resonator comprises a mechanical resonator.
23. The apparatus of claim 1 wherein the resonator comprises a tuning fork.
24. An apparatus for determining a property of a fluid downhole comprising:
(a) a resonator in direct contact with the fluid downhole;
(b) a controller that actuates the resonator; and
(c) a processor that estimates the property of the fluid using a an electrical impedance response of the resonator to the actuation and uses a chemometric equation.
25. The method of claim 9 further comprising generating creating a synthetic data training set for resonator response.