Geosteering methods and systems for improved drilling performance
A method and system for geosteering may generate a misfit function using a spline function. The misfit function may be used to accurately map errors or differences between TVD-based measurement data for one or more reference wells and MD-based measurement data collected during drilling of a subject well, in order to accurately determine a stratigraphic location of the subject well.
1. A geosteering control system comprising:
a processor enabled to access memory media; and
the memory media storing instructions executable by the processor for:
accessing reference well data associated with at least one reference well located in proximity to a subject well, wherein the reference well is a second well different from the subject well, and wherein the reference well data further comprises first measurement data describing at least one geological property of the reference well versus true vertical depth (TVD);
receiving second measurement data describing the at least one geological property for the subject well versus measured depth (MD);
generating a plurality of mappings using a plurality of spline functions, wherein the plurality of mappings map the second measurement data to the first measurement data using the plurality of spline functions, and wherein the plurality of mappings form a grove of decision trees representing a plurality of potential geosteering solutions for the subject well, where each node in the grove of decision trees represents a potential spline mapping solution for a section of the subject well;
determining, using a plurality of misfit functions, difference values in the at least one geological property between the second measurement data and the first measurement data as respectively mapped by the spline functions, wherein each of the plurality of misfit functions determines a difference between at least two of the plurality of spline functions, including:
segmenting the first measurement data and the second measurement data into a plurality of segments respectively corresponding to MD sections of the subject well, with each successive hierarchy level in the grove of decision trees representing a next section of the well;
determining coefficients and knot points for a first spline function as multi-solutions for each of the plurality of segments; and
selecting one of the multi-solutions for at least a portion of the first spline function as mapped;
identifying the first spline function for having at least one minimum of the plurality of respective misfit functions;
responsive to identifying the first spline function, selecting a best-fit geosteering solution for the subject well; and
based on the selected best-fit geosteering solution for the subject well, determining a subterranean location of a wellbore of the subject well during drilling of the subject well,
wherein the geosteering control system is configured to control drilling rig equipment to drill the subject well responsive to the determined location of the wellbore.
2. The geosteering control system of claim 1 , wherein the memory media further comprise instructions for:
determining when a change in one or more drilling parameters is indicated during drilling of the well and send one or more signals to effect such a change.
3. The geosteering control system of claim 1 , wherein the memory media further comprise instructions for:
using the subterranean location determined based on the first spline function, modifying, during drilling, a well plan for the subject well.
4. The geosteering control system of claim 1 , wherein the spline function is a third order cubic spline function.
5. The geosteering control system of claim 1 , wherein the reference well data is associated with at least two reference wells located in proximity to the subject well.
6. The geosteering control system of claim 1 , wherein the instructions for segmenting the first measurement data and the second measurement data into a plurality of segments respectively corresponding to MD sections of the well bore of the subject well further comprise instructions for:
determining when a discontinuity is indicated in the spline function, based on either the first measurement data or the second measurement data, wherein the discontinuity corresponds to a geological fault; and
resuming the mapping of the plurality of misfit functions after the discontinuity.
7. The geosteering control system of claim 1 , wherein the instructions for segmenting the first measurement data and the second measurement data into a plurality of segments respectively corresponding to MD sections of the well bore of the subject well further comprise instructions for:
for a first segment in the plurality of segments respectively corresponding to a first MD section, extending the first MD section without changing first coefficients and first knot points associated with the first MD section until a first mapping of the misfit function corresponding to the MD section violates a threshold criterion.
8. The geosteering control system of claim 1 , wherein the at least one geological property is selected from the group consisting of gamma ray emission, resistivity, porosity, density, and hardness.
9. A computer-implemented method for geosteering, the method comprising:
accessing, by a computer system, reference well data associated with at least one reference well for a subject well, wherein the reference well is a second well different from the subject well, and wherein the reference well data further comprises first measurement data describing at least one geological property of the reference well versus true vertical depth (TVD);
receiving, by the computer system, second measurement data describing the at least one geological property for the subject well versus measured depth (MD);
using a plurality of spline functions, generating a plurality of mappings mapping the second measurement data to the first measurement data, wherein the plurality of mappings form a grove of decision trees representing a plurality of potential geosteering solutions for the subject well, where each node in the grove of decision trees represents a potential spline mapping solution for a section of the subject well;
determining, by the computer system, using a plurality of misfit functions, difference values in the at least one geological property between the second measurement data and the first measurement data as respectively mapped by the spline functions, wherein each of the plurality of misfit functions determines a difference between at least two of the plurality of spline functions, including:
segmenting the first measurement data and the second measurement data into a plurality of segments respectively corresponding to MD sections of the subject well, with each successive hierarchy level in the grove of decision trees representing a next section of the well;
determining coefficients and knot points for a first spline function as multi-solutions for each of the plurality of segments; and
selecting one of the multi-solutions for at least a portion of the first spline function as mapped;
identifying, by the computer system, the first spline function for having at least one minimum of the plurality of respective misfit functions;
responsive to identifying the first spline function, selecting a best-fit geosteering solution for the subject well; and
based on the selected best-fit geosteering solution for the subject well, determining, by the computer system, a subterranean location of a wellbore of the subject well during drilling of the subject well and drilling at least a portion of the wellbore responsive to the determined location of the wellbore.
10. The method of claim 9 , wherein the method is performed using a geosteering control system that is enabled to send one or more signals to control drilling rig equipment enabled for drilling of the subject well and to send one or more signals to effect such a change.
11. The method of claim 10 , further comprising:
determining, by the computer system, when a change in one or more drilling parameters is indicated during drilling of the well and send one or more signals to effect such a change.
12. The method of claim 9 , further comprising:
using the subterranean location determined based on the first spline function, modifying, by the computer system during drilling, a well plan for the subject well.
13. The method of claim 9 , wherein the spline function is a third order cubic spline function.
14. The method of claim 9 , wherein the reference well data is associated with at least two reference wells located in proximity to the subject well.
15. The method of claim 9 , wherein the segmenting, by the computer system, the first measurement data and the second measurement data into a plurality of segments respectively corresponding to MD sections of the well bore of the subject well further comprises:
determining, by the computer system, when a discontinuity is indicated in the spline function, based on either the first measurement data or the second measurement data, wherein the discontinuity corresponds to a geological fault; and
resuming, by the computer system, the mapping of the plurality of misfit functions after the discontinuity.
16. The method of claim 9 , wherein the segmenting, by the computer system, the first measurement data and the second measurement data into a plurality of segments respectively corresponding to MD sections of the well bore of the subject well further comprises:
for a first segment in the plurality of segments respectively corresponding to a first MD section, extending, by the computer system, the first MD section without changing first coefficients and first knot points associated with the first MD section until a first mapping of the misfit function corresponding to the MD section violates a threshold criterion.
17. The method of claim 9 , wherein the at least one geological property is selected from the group consisting of: gamma ray emission, resistivity, porosity, density, and hardness.