Methods and systems for determining standoff between a downhole tool and a geological formation

1. A method for determining a standoff between a surface of a downhole tool and a surface of a geological formation, the method comprising:

providing the downhole tool that includes an electrode component exposed from a surface of the downhole tool, one or more transformers exposed from the surface of the downhole tool, and one or more electronics components;

when the standoff between the surface of the geological formation and the surface of the downhole tool is expected to be no more than a first distance:

imposing, using at least one of the electronics components, a first originating electrical signal at the electrode component,

measuring, using at least one of the electronics components, a first resulting electrical signal at the electrode component to obtain a first measurement, the first resulting electrical signal generated as a result of the first originating electrical signal, and

fitting, using one or more processor units, the first measurement to a first modeled tool response to determine a first standoff between the surface of the downhole tool and the surface of the geological formation; and/or

when the standoff between the surface of the geological formation and the surface of the downhole tool is expected to be no less than a second distance:

imposing, using at least one of the electronics components, a second originating electrical signal at a first transformer,

measuring, using at least one of the electronics components, a second resulting electrical signal at the electrode component to obtain a second measurement, the second resulting electrical signal generated as a result of the second originating electrical signal, and

fitting, using one or more processor units, the second measurement to a second modeled tool response to determine a second standoff between the surface of the downhole tool and the surface of the geological formation.

2. The method of claim 1 , wherein the first distance is no more than six times the spacing distance between two electrodes of the electrode component and the second distance is no less than two times the spacing distance between the two electrodes of the electrode component.

3. The method of claim 1 , further comprising, when the standoff is expected to be no more than the first distance and no less than the second distance,

determining an amount of uncertainty in the first standoff and an amount of uncertainty in the second standoff, and

selecting between the first standoff and the second standoff based upon the amount of uncertainty determined in the first standoff and the amount of uncertainty determined in the second standoff.

4. The method of claim 1 , further comprising:

imposing, using at least one of the electronics components, a third originating electrical signal at the electrode component when the standoff between the surface of the geological formation and the surface of the downhole tool is expected to be no less than the second distance;

measuring, using at least one of the electronics components, a third resulting electrical signal at the electrode component to obtain a third measurement that is sensitive to a resistivity of a drilling fluid disposed between the downhole tool and the surface of the geological formation, the third resulting electrical signal generated as a result of the third originating electrical signal; and

fitting, using at least one of the processor units, the third measurement to the first modeled tool response to determine the first standoff between the surface of the downhole tool and the surface of the geological formation and/or fitting, using at least one of the processor units, the third measurement to the second modeled tool response to determine the second standoff between the surface of the downhole tool and the surface of the geological formation.

5. The method of claim 1 , further comprising:

imposing, using at least one of the electronics components, a fourth originating electrical signal at a second transformer;

measuring, using at least one of the electronics components, a fourth resulting electrical signal at the electrode component to obtain a fourth measurement that is sensitive to a resistivity of the formation, the fourth resulting electrical signal generated as a result of the fourth originating electrical signal; and

fitting, using at least one of the processor units, the fourth measurement to the first modeled tool response to determine the first standoff between the surface of the downhole tool and the surface of the geological formation and/or fitting, using at least one of the processor units, the fourth measurement to the second modeled tool response to determine the second standoff between the surface of the downhole tool and the surface of the geological formation.

6. The method of claim 1 , wherein fitting, using at least one of the processor units, the first measurement to the first modeled tool response and fitting, using at least one of the processor units, the second measurement to the second modeled tool response respectively comprise applying a data inversion process adapted to reduce an error between the first measurement and the first modeled tool response and to reduce an error between the second measurement and the second modeled tool response.

7. The method of claim 1 , wherein imposing, using at least one of the electronics components, the first originating electrical signal at the electrode component includes:

imposing a voltage between two source electrodes of the electrode component;

wherein measuring, using at least one of the electronics components, the first resulting electrical signal at the electrode component includes:

measuring a current between two measurement electrodes of the electrode component; and

wherein measuring, using the at least one electronics component, the second resulting electrical signal at the electrode component includes:

measuring a current using at least one of the two measurement electrodes of the electrode component.

8. The method of claim 1 , wherein imposing, using least one of the electronics components, the first originating electrical signal at the electrode component includes:

imposing a voltage between a source electrode and a measurement electrode of the electrode component;

wherein measuring, using at least one of the electronics components, the first resulting electrical signal at the electrode component includes:

measuring a current at the measurement electrode; and

wherein measuring, using at least one of the electronics components, the second resulting electrical signal at the electrode component includes:

measuring a current at the measurement electrode.

9. The method of claim 1 , wherein the downhole tool is a logging-while-drilling tool, a measurement-while-drilling tool, or a combination thereof.

10. A system for determining a standoff between a surface of a downhole tool and a surface of a geological formation, the system comprising:

the downhole tool including:

an electrode component exposed from the surface of the downhole tool;

one or more transformers exposed from the surface of the downhole tool; and

one or more electronics components adapted to:

when the distance between the surface of the geological formation and the surface of the downhole tool is expected to be no more than a first distance:

impose a first originating electrical signal at the electrode component, and

measure a first resulting electrical signal at the electrode component to obtain a first measurement, the first resulting electrical signal generated as a result of the first originating electrical signal, and/or when the distance between the surface of the geological formation and the surface of the downhole tool is expected to be no less than a second distance:

impose a second originating electrical signal at at least one of the transformers, and

measure a second resulting electrical signal at the electrode component to obtain a second measurement, the second resulting electrical signal generated as a result of the second originating electrical signal;

one or more processor units adapted to:

fit the first measurement to a first modeled tool response to determine a first standoff between the surface of the downhole tool and the surface of the geological formation, and/or

fit the second measurement to a second modeled tool response to determine a second standoff between the surface of the downhole tool and the surface of the geological formation.

11. The system of claim 10 , wherein the first distance is six times the spacing distance between two electrodes of the electrode component and the second distance is two times the spacing distance between the two electrodes of the electrode component.

12. The system of claim 10 , wherein at least one of the processor units is adapted to, when the standoff is expected to be no more than the first distance and no less than the second distance,

determine an amount of uncertainty in the first standoff and an amount of uncertainty in the second standoff, and

select between the first standoff and the second standoff based upon the amount of uncertainty determined in the first standoff and the amount of uncertainty determined in the second standoff.

13. The system of claim 10 , wherein at least one of the electronics components is further adapted to:

impose a third originating electrical signal at the electrode component when the distance between the surface of the geological formation and the surface of the downhole tool is expected to be no less than two times the spacing distance between two electrodes of the electrode component, and

measure a third resulting electrical signal at the electrode component to obtain a third measurement that is sensitive to a resistivity of a drilling fluid disposed between the downhole tool and the geological formation, the third resulting electrical signal generated as a result of the third originating electrical signal; and

wherein at least one of the processor units is further adapted to fit the third measurement to the first modeled tool response to determine the first standoff and/or fit the third measurement to the second modeled tool response to determine the second standoff.

14. The system of claim 10 , wherein at least one of the electronics components is further adapted to:

impose a fourth originating electrical signal at a second transformer, and

measure a fourth resulting electrical signal at the electrode component to obtain a fourth measurement that is sensitive to a resistivity of the formation, the fourth resulting electrical signal generated as a result of the fourth originating electrical signal; and

wherein at least one of the processor units is further adapted to fit the third measurement to the first modeled tool response to determine the first standoff and/or fit the third measurement to the second modeled tool response to determine the second standoff.

15. The system of claim 10 , wherein the electrode component includes two source electrodes and two measurement electrodes, the two measurement electrodes being concentric and part of an electrode button; and

wherein at least one of the electronics components is further adapted to:

impose a voltage between the two source electrodes of the electrode component to

impose the first originating electrical signal at the electrode component,

measure a current between the two measurement electrodes of the electrode component to measure the first resulting electrical signal at the electrode component, and

measure a current at one of the two measurement electrodes of the electrode component to measure the second resulting electrical signal at the electrode component.

16. The system of claim 10 , wherein the electrode component includes a source electrode and a measurement electrode; and

wherein at least one of the electronics components is further adapted to:

impose a voltage between the source electrode and the measurement electrode of the electrode component to impose the first originating electrical signal at the electrode component,

measure a current at the measurement electrode to measure the first resulting electrical signal at the electrode component; and

measure a current at the measurement electrode to measure the second resulting electrical signal at the electrode component.

17. The system of claim 10 , wherein at least one of the processor units is further adapted to apply a data inversion process for reducing an error between the first measurement and the first modeled tool response and for reducing an error between the second measurement and the second modeled tool response.

18. The system of claim 10 , wherein the downhole tool is a logging-while-drilling tool, a measurement-while-drilling tool, or a combination thereof.

19. The system of claim 10 , wherein at least one of the processor units is at a surface above the geological formation.