Structural volume segmentation

1. A method for performing a field operation of a field, comprising:

identifying, inside a volume of interest representing a portion of the field, that a first surface segment is truncated by a second surface segment, wherein each of the first surface segment and the second surface segment corresponds to a geological feature in the field;

generating, based at least on a first implicit function, an extended first surface segment comprising the first surface segment and a first extension of the first surface segment, wherein the first implicit function is generated based on a distance gradient that maps points in the volume of interest to a signed distance to the first surface segment, and the first extension of the first surface segment is an addition to an incomplete surface segment generated based on the signed distance;

generating a plurality of compartments by dividing the volume of interest using at least the extended first surface segment and the second surface segment;

merging, based on a common boundary of at least two compartments of the plurality of compartments being within a first portion of the extended first surface segment, the at least two compartments into a single merged compartment; and

performing, based at least on the single merged compartment, modeling of the field to generate a modeling result.

2. The method of claim 1 , wherein generating the extended first surface segment comprises:

determining, using the first implicit function, a first signed distance of a point in the volume of interest; and

including the point in the extended first surface segment if the first signed distance of the point is zero.

3. The method of claim 2 , further comprising:

determining a norm vector for at least one point of the first surface segment, wherein the norm vector is perpendicular to the first surface segment at the at least one point; and

generating, for the point in the volume of interest, the first signed distance based at least on the norm vector and a distance vector from the at least one point to the point.

4. The method of claim 2 , further comprising:

generating, based at least on a second implicit function, an extended second surface segment comprising the second surface segment and a second extension of the second surface segment,

wherein the volume of interest is divided into the plurality of compartments by using at least the extended second surface segment and the extended first surface segment.

5. The method of claim 4 , further comprising:

generating, using the second implicit function and for each point of the extended first surface segment, a second signed distance to the second surface segment; and

dividing, based on the second signed distance, the extended first surface segment into a second portion and the first portion,

wherein the second portion and the first portion are associated with opposite signs of the second signed distance.

6. The method of claim 1 , further comprising:

receiving measurements of the field to generate the second surface segment and the first surface segment, wherein the measurements are associated with the geological feature; and

receiving an indication that the second surface segment truncates the first surface segment.

7. The method of claim 1 , further comprising:

generating a control signal based on the modeling result; and

performing the field operation based on the control signal.

8. A non-transitory computer readable medium storing instructions to carry out the method according to claim 1 .

9. A system for performing a field operation of a field, comprising:

an exploration and production (E&P) Computer system, comprising:

a computer processor;

memory storing instructions executed by the Computer processor, wherein the instructions comprise functionality to:

identify, inside a volume of interest representing a portion of the field, that a first surface segment is truncated by a second surface segment, wherein each of the first surface segment and the second surface segment corresponds to at least a portion of a geological feature in the portion of the field;

generate, based at least on a first implicit function, an extended first surface segment comprising the first surface segment and a first extension of the first surface segment, wherein the first implicit function is generated based on a distance gradient that maps points in the volume of interest to a signed distance to the first surface segment, and the first extension of the first surface segment is an addition to an incomplete surface segment generated based on the signed distance;

generate a plurality of compartments by dividing the volume of interest using at least the extended first surface segment and the second surface segment;

merge, based on a common boundary of at least two compartments of the plurality of compartments being within a first portion of the extended first surface segment, the at least two compartments into a single merged compartment; and

perform, based at least on the single merged compartment, modeling of the field to generate a modeling result; and

a repository for storing the first surface segment, the second surface segment, and the single merged compartment.

10. The system of claim 9 , wherein generating the extended first surface segment comprises:

determining, using the first implicit function, a first signed distance of a point in the volume of interest; and

including the point in the extended first surface segment if the first signed distance of the point is zero.

11. The system of claim 10 , wherein the instructions further comprise functionality to: determine a norm vector for at least one point of the first surface segment, wherein

the norm vector is perpendicular to the first surface segment at the at least one point; and

generate, for the point in the volume of interest, the first signed distance based at least on the norm vector and a distance vector from the at least one point to the point.

12. The system of claim 9 , wherein the instructions further comprise functionality to: generate, based at least on a second implicit function, an extended second surface segment comprising the second surface segment and a second extension of the second surface segment,

wherein the volume of interest is divided into the plurality of compartments by using at least the extended second surface segment and the extended first surface segment.

13. The system of claim 12 , wherein the instructions further comprise functionality to: generate, using the second implicit function and for each point of the extended first surface segment, a second signed distance to the second surface segment, and

divide, based on the second signed distance, the extended first surface segment into a second portion and the first portion,

wherein the valid portion and the invalid portion are associated with opposite signs of the second signed distance.

14. The system of claim 9 , wherein the instructions further comprise functionality to: receive an indication that the second surface segment truncates the first surface segment.

15. The system of claim 9 , further comprising:

a sensory device configured to receive measurements of the field to generate the second surface segment and the first surface segment, wherein the measurements are associated with the geological feature;

field equipment coupled to the E&P Computer system and configured to perform the field operation based on a control signal,

wherein the instructions further comprise functionality to generate the control signal based on the modeling result.