Abstract: A system and method may model physical geological structures. Seismic and geologic data may be accepted. A three-dimensional (3D) transformation may be generated between a 3D present day model having points representing present locations of the physical geological structures and a 3D past depositional model having points representing locations where the physical geological structures were originally deposited. An indication may be accepted to locally change the 3D transformation for a subset of sampling points in a first model of the models. The 3D transformation may be locally changed to fit the updated subset of sampling points. A locally altered or updated version of the first model and, e.g., second model, may be displayed where local changes to the first model are defined by the locally changed 3D transformation. The transformation may also be used to extract geobodies in the past depositional model.

Abstract: A device, system and method for performing a 3D interpolation in a 2D interpolation stage and a 1D interpolation stage to generate a refined geological-time. A 3D model may be obtained of a subsurface region defined by an initial geological-time in the past when particles in the subsurface region are determined to have been originally deposited. The stages of the 3D interpolation may include a 2D interpolation along one or more initial 2D reference horizon surfaces to generate one or more reshaped 2D reference horizon surfaces, and a 1D interpolation based on the initial geological-time along one or more 1D interpolation lines to generate a refined geological-time, wherein each 1D interpolation line is approximately orthogonal to the initial 2D reference horizon surfaces. The 3D model may be displayed according to the refined geological-time.

Abstract: A method and system for computing and visualizing sedimentary attributes may include receiving, by a processor, paleo-geographic coordinates representing predicted approximate positions of particles of sediment deposited at a time period when a layer was originally formed. The processor may numerically compute or determine a sedimentation rate that varies laterally along the layer. The processor may determine a sedimentary attribute based on the lateral variation of the sedimentation rate along the layer with respect to the paleo-geographic coordinates. A monitor or display may display the sedimentary attribute of the layer in the present-day geological space.

Abstract: A method, apparatus and system for modeling a fault surface in a subsurface region. A direction may be determined in which a first portion of the subsurface region being on one side of the fault surface has moved relative to a second portion of the subsurface region being on the other side of the fault surface. A model of the fault surface may be generated having substantially no protrusions in the determined direction. A visualization of the model of the generated fault surface may be displayed.

Abstract: A device, system and method for performing a 3D interpolation in a 2D interpolation stage and a 1D interpolation stage to generate a refined geological-time. A 3D model may be obtained of a subsurface region defined by an initial geological-time in the past when particles in the subsurface region are determined to have been originally deposited. The stages of the 3D interpolation may include a 2D interpolation along one or more initial 2D reference horizon surfaces to generate one or more reshaped 2D reference horizon surfaces, and a 1D interpolation based on the initial geological-time along one or more 1D interpolation lines to generate a refined geological-time, wherein each 1D interpolation line is approximately orthogonal to the initial 2D reference horizon surfaces. The 3D model may be displayed according to the refined geological-time.

Abstract: A method, apparatus and system for, in a computing system, modeling a subsurface structure at a time period when the structure was originally formed. A memory may store a first model having a plurality of non-planar horizons representing a current state of the subsurface structure. A processor may compute a vector field based on the non-planar geometry of the horizons of the first model. The vector field may be a non-uniform vector field (e.g., the axe and/or co-axe vector field) or a uniform vector field (e.g., a global axis). Using the vector field, the processor may transform geographic coordinates of the first model to paleo-geographic coordinates of a second model representing a predicted state of the subsurface structure at a time period when the subsurface structure was originally formed, where the non-planar horizons in the first model are transformed to planar horizons in the second model. A display may display the first model.

Abstract: A method and system for computing and visualizing sedimentary attributes may include receiving, by a processor, paleo-geographic coordinates representing predicted approximate positions of particles of sediment deposited at a time period when a layer was originally formed. The processor may numerically compute or determine a sedimentation rate that varies laterally along the layer. The processor may determine a sedimentary attribute based on the lateral variation of the sedimentation rate along the layer with respect to the paleo-geographic coordinates. A monitor or display may display the sedimentary attribute of the layer in the present-day geological space.

Abstract: A method and system for modeling a subsurface structure at a time when the structure was originally formed. A first model having non-planar horizons representing a current subsurface structure may be used to calculate a vector field based on the non-planar geometry of the horizons of the model. The vector field may be non-uniform or uniform. Geographic coordinates of the first model may be transformed to paleo-geographic coordinates of a model representing the subsurface structure in the past, where the non-planar horizons in the first model are transformed to planar horizons in the second model. A set of points describing one or more fractures in the subsurface structure may be used to calculate a tuning parameter to correct a first set of paleo-geographic coordinates. A second set of coordinates representing an improved prediction at a time period when the subsurface structure was originally formed may be generated.

Abstract: A method, apparatus and system for, in a computing system, perturbing an initial three-dimensional (3D) geological model using a 3D vector field. A coherent 3D vector field including 3D vectors may be generated where each 3D vector of the 3D vector field is associated with a node of the initial 3D geological model and has a magnitude within a range of uncertainty of the node of the initial 3D geological model associated therewith. The coherent 3D vector field may be applied to the initial 3D geological model associated therewith to generate an perturbed 3D model. The perturbed 3D model may differ from the initial 3D geological model by a displacement defined by the 3D vector field associated with nodes having uncertain values. The perturbed 3D model may be displayed.

Abstract: A system and method may model physical geological structures. Seismic and geologic data may be accepted. A three-dimensional (3D) transformation may be generated between a 3D present day model having points representing present locations of the physical geological structures and a 3D past depositional model having points representing locations where the physical geological structures were originally deposited. An indication may be accepted to locally change the 3D transformation for a subset of sampling points in a first model of the models. The 3D transformation may be locally changed to fit the updated subset of sampling points. A locally altered or updated version of the first model and, e.g., second model, may be displayed where local changes to the first model are defined by the locally changed 3D transformation. The transformation may also be used to extract geobodies in the past depositional model.

Abstract: A method, apparatus and system for, in a computing system, modeling a subsurface structure at a time period when the structure was originally formed. A memory may store a first model having a plurality of non-planar horizons representing a current state of the subsurface structure. A processor may compute a vector field based on the non-planar geometry of the horizons of the first model. The vector field may be a non-uniform vector field (e.g., the axe and/or co-axe vector field) or a uniform vector field (e.g., a global axis). Using the vector field, the processor may transform geographic coordinates of the first model to paleo-geographic coordinates of a second model representing a predicted state of the subsurface structure at a time period when the subsurface structure was originally formed, where the non-planar horizons in the first model are transformed to planar horizons in the second model. A display may display the first model.

Abstract: A system and method may model physical geological structures. Seismic and geologic data may be accepted. A three-dimensional (3D) transformation may be generated between a 3D present day model having points representing present locations of the physical geological structures and a 3D past depositional model having points representing locations where the physical geological structures were originally deposited. An indication may be accepted to locally change the 3D transformation for a subset of sampling points in a first model of the models. The 3D transformation may be locally changed to fit the updated subset of sampling points. A locally altered or updated version of the first model and, e.g., second model, may be displayed where local changes to the first model are defined by the locally changed 3D transformation. The transformation may also be used to extract geobodies in the past depositional model.

Abstract: A method, apparatus and system for, in a computing system, perturbing an initial three-dimensional (3D) geological model using a 3D vector field. A coherent 3D vector field including 3D vectors may be generated where each 3D vector of the 3D vector field is associated with a node of the initial 3D geological model and has a magnitude within a range of uncertainty of the node of the initial 3D geological model associated therewith. The coherent 3D vector field may be applied to the initial 3D geological model associated therewith to generate an perturbed 3D model. The perturbed 3D model may differ from the initial 3D geological model by a displacement defined by the 3D vector field associated with nodes having uncertain values. The perturbed 3D model may be displayed.

Abstract: A method, apparatus and system for, in a computing system, perturbing an initial three-dimensional (3D) geological model using a 3D vector field. A coherent 3D vector field including 3D vectors may be generated where each 3D vector of the 3D vector field is associated with a node of the initial 3D geological model and has a magnitude within a range of uncertainty of the node of the initial 3D geological model associated therewith. The coherent 3D vector field may be applied to the initial 3D geological model associated therewith to generate an perturbed 3D model. The perturbed 3D model may differ from the initial 3D geological model by a displacement defined by the 3D vector field associated with nodes having uncertain values. The perturbed 3D model may be displayed.

Abstract: A method and system for computing and visualizing sedimentary attributes may include receiving, by a processor, paleo-geographic coordinates representing predicted approximate positions of particles of sediment deposited at a time period when a layer was originally formed. The processor may numerically compute or determine a sedimentation rate that varies laterally along the layer. The processor may determine a sedimentary attribute based on the lateral variation of the sedimentation rate along the layer with respect to the paleo-geographic coordinates. A monitor or display may display the sedimentary attribute of the layer in the present-day geological space.

Abstract: A system and method may model physical geological structures. Seismic and geologic data may be accepted. A three-dimensional (3D) transformation may be generated between a 3D present day model having points representing present locations of the physical geological structures and a 3D past depositional model having points representing locations where the physical geological structures were originally deposited. An indication may be accepted to locally change the 3D transformation for a subset of sampling points in a first model of the models. The 3D transformation may be locally changed to fit the updated subset of sampling points. A locally altered or updated version of the first model and, e.g., second model, may be displayed where local changes to the first model are defined by the locally changed 3D transformation. The transformation may also be used to extract geobodies in the past depositional model.

Abstract: A method, apparatus and system for, in a computing system, modeling a subsurface structure at a time period when the structure was originally formed. A memory may store a first model having a plurality of non-planar horizons representing a current state of the subsurface structure. A processor may compute a vector field based on the non-planar geometry of the horizons of the first model. The vector field may be a non-uniform vector field (e.g., the axe and/or co-axe vector field) or a uniform vector field (e.g., a global axis). Using the vector field, the processor may transform geographic coordinates of the first model to paleo-geographic coordinates of a second model representing a predicted state of the subsurface structure at a time period when the subsurface structure was originally formed, where the non-planar horizons in the first model are transformed to planar horizons in the second model. A display may display the first model.

Abstract: A method of transforming an input stratigraphic grid SGrid which represents a region including one or more geological discontinuities is now disclosed. At least one target cell that is local to one or more geological discontinuities is transformed by displacing at least one target vertex of the target cell of the input SGrid in a selected direction that: i) is selected to approximate a local tangent of the reference horizon; and ii) is oriented from the target vertex to a representative manifold representing one of the geological discontinuities and/or an intersection between two or more of the geological discontinuities. A magnitude of a displacement by which the target vertex is moved is determined according to a non-Euclidian distance between the target vertex of the target cell of the input SGrid and the representative manifold.

Abstract: A method, apparatus and system for, in a computing system, perturbing an initial three-dimensional (3D) geological model using a 3D vector field. A coherent 3D vector field including 3D vectors may be generated where each 3D vector of the 3D vector field is associated with a node of the initial 3D geological model and has a magnitude within a range of uncertainty of the node of the initial 3D geological model associated therewith. The coherent 3D vector field may be applied to the initial 3D geological model associated therewith to generate an perturbed 3D model. The perturbed 3D model may differ from the initial 3D geological model by a displacement defined by the 3D vector field associated with nodes having uncertain values. The perturbed 3D model may be displayed.

Abstract: A method and system for generating a model function h(x,y,z) implicitly representing geologic horizons. Geological data representing a fault network and horizons automatically extracted from seismic data may be received. A 3D mesh may be generated and divided into a plurality of fault blocks by the fault network. A discrete function h(x,y,z) may be defined having values of the geological data representing horizons at discrete nodes of the mesh. Constraints may be installed on the discrete function h(x,y,z) defining surfaces representing horizons. Constraints may be installed on the discrete function h(x,y,z) to ensure the uniqueness of the function h(x,y,z). The discrete function h(x,y,z) may be interpolated at the nodes of the mesh to create a piecewise continuous function h (x,y,z) while honoring the constraints. The piecewise continuous horizon function h(x,y,z) may be synchronized across multiple fault blocks. A model of the piecewise continuous horizon function h(x,y,z) may be displayed.