Faulted geological structures having unconformities

A system comprising:

• a processor;
• memory operatively coupled to the processor;
• and
• one or more modules stored in the memory that comprise instructions executable by the processor to instruct the system to:
• provide a mesh to represent a faulted geological structure in a subterranean formation of a field;
• identify an interface separating a plurality of conformable sequences in the faulted geological structure;
• interpolate, in a first iteration, a first implicit function defined with respect to the mesh to provide values for the first implicit function, wherein the values comprise at least a first iso-value corresponding to the interface;
• divide, based at least on the first iso-value, the mesh into at least a first sub-mesh and a second sub-mesh, wherein each of the first sub-mesh and the second sub-mesh comprises at least one of the plurality of conformable sequences;
• interpolate, in a second iteration, a second implicit function, wherein the extent of interpolating the second implicit function is restricted to within one of the first sub-mesh and the second sub-mesh;
• extract, from the first implicit function and the second implicit function, a surface corresponding to the interface;
• create a model based at least on the surface;
• and
• perform exploration of natural resources in the subterranean formation using the model.

One or more non-transitory computer-readable storage media comprising computer-executable instructions to instruct a computing device to:

• provide a mesh to represent a faulted geological structure in a subterranean formation of a field;
• identify an interface separating a plurality of conformable sequences in the faulted geological structure;
• interpolate, in a first iteration, a first implicit function defined with respect to the mesh to provide values for the first implicit function, wherein the values comprise at least a first iso-value corresponding to the interface;
• divide, based at least on the first iso-value, the mesh into at least a first sub-mesh and a second sub-mesh, wherein each of the first sub-mesh and the second sub-mesh comprises at least one of the plurality of conformable sequences;
• interpolate, in a second iteration, a second implicit function, wherein the extent of interpolating the second implicit function is restricted to within one of the first sub-mesh and the second sub-mesh;
• extract, from the first implicit function and the second implicit function, a surface corresponding to the interface;
• create a model based at least on the surface;
• and
• perform exploration of natural resources in the subterranean formation using the model.

A method, comprising:

• providing a mesh to represent a faulted geological structure in a subterranean formation;
• interpolating, by a computer processor at a first time and in a first iteration, a first implicit function on the mesh to provide an iso-value corresponding to an interface between conformable sequences in the faulted geological structure;
• dividing, based at least on the iso-value, the mesh into at least a first sub-mesh and a second sub-mesh, wherein each of the first sub-mesh and the second sub-mesh comprises at least one of the conformable sequences;
• interpolating, by the computer processor at a second time and in a second iteration, a second implicit function, wherein the interpolating the second implicit function is restricted to within the first sub-mesh or the second sub-mesh;
• creating a model of a geological environment based on an iso-surface extracted from the first and second implicit functions;
• and
• performing exploration of natural resources in the subterranean formation using the model.

A system, comprising:

• a processor;
• memory operatively coupled to a processor;
• and
• one or more modules stored in the memory that comprise instructions executable by the processor to instruct the system to:
• provide a mesh to represent a faulted geological structure in a subterranean formation;
• interpolate at a first time and in a first iteration a first implicit function on the mesh to provide an iso-value corresponding to an interface between conformable sequences in the faulted geological structure;
• divide, based at least on the iso-value, the mesh into at least a first sub-mesh and a second sub-mesh, wherein each of the first sub-mesh and the second sub-mesh comprises at least one of the conformable sequences;
• interpolate at a second time and in a second iteration a second implicit function, wherein the interpolating the second implicit function is restricted to within the first sub-mesh or the second sub-mesh;
• create a model of a geological environment based on an iso-surface extracted from the first and second implicit functions;
• and
• perform exploration of natural resources in the subterranean formation using the model.