Abstract: A method and a system for modeling a three-dimensional geological structure. A method may comprise selecting input data from well measurement systems, seismic surveys or other sources, inputting the input data into an information handling system, building a quotient space, projecting constraints to the quotient space, constructing depth functions on the quotient space, trimming against a fault network, and producing a three-dimensional model of horizons. A system may comprise a downhole tool. The downhole tool may comprise at least one receiver and at least one transmitter. The system may further comprise a conveyance and an information handling system. The information handling system may be configured to select an input data, build a quotient space, project constraints to the quotient space, construct depth functions on the quotient space, trim against a fault network, and produce a three-dimensional model of a geological structure.

Abstract: Embodiments of systems, methods, and computer-readable media for real-time winding analysis for knot detection are disclosed. For example, one embodiment of the present invention includes a method having the steps of receiving a first wrapping signal indicating a first wrapping of the simulated thread around a second tool to create a first loop. The method further includes determining a first wrapping direction based at least in part on the first wrapping signal; receiving a first tightening signal indicating a pulling of a first end of the simulated thread through the first loop; determining a first half-hitch based at least in part on the first winding direction and the first tightening signal; and outputting the first half-hitch. In another embodiment, a computer-readable media includes code for a carrying out such a method.

Abstract: Embodiments include storing values of a first plurality of nodes in memory based on tracking the position of a plurality of points of a physical object and maintaining a second plurality of nodes in memory, each node of the second plurality of nodes corresponding to a node of the first plurality. The values of the second plurality of nodes can be used to model interactions with other objects and to render a view of a simulated object. The simulation can access data identifying a simulation boundary and selectively update values of the second plurality of nodes using the first plurality of nodes while ensuring that the simulation boundary is not violated. A value of the second plurality of nodes can be set to be different from the value of the corresponding one of the first plurality of nodes if using the first node's value would violate the boundary.

Abstract: Embodiments include storing values of a first plurality of nodes in memory based on tracking the position of a plurality of points of a physical object and maintaining a second plurality of nodes in memory, each node of the second plurality of nodes corresponding to a node of the first plurality. The values of the second plurality of nodes can be used to model interactions with other objects and to render a view of a simulated object. The simulation can access data identifying a simulation boundary and selectively update values of the second plurality of nodes using the first plurality of nodes while ensuring that the simulation boundary is not violated. A value of the second plurality of nodes can be set to be different from the value of the corresponding one of the first plurality of nodes if using the first node's value would violate the boundary.

Abstract: Embodiments of systems, methods, and computer-readable media for real-time winding analysis for knot detection are disclosed. For example, one embodiment of the present invention includes a method having the steps of receiving a first wrapping signal indicating a first wrapping of the simulated thread around a second tool to create a first loop. The method further includes determining a first wrapping direction based at least in part on the first wrapping signal; receiving a first tightening signal indicating a pulling of a first end of the simulated thread through the first loop; determining a first half-hitch based at least in part on the first winding direction and the first tightening signal; and outputting the first half-hitch. In another embodiment, a computer-readable media includes code for a carrying out such a method.