Abstract: Geological stata can be modeled using weighted parameters. For example, geological data representative of strata in a subterranean formation can be received. A weight for a parameter usable to generate a geological model can be determined. Examples of the parameter can include (i) a first parameter for reducing a change in a thickness of a stratum, (ii) a second parameter for maintaining a minimum thickness of the stratum, (iii) a third parameter for maintaining a maximum thickness of the stratum, (iv) a fourth parameter for reducing a curvature in the thickness of the stratum, (v) a fifth parameter for a user-provided indication of a feature of the stratum, or (vi) any combination of these. The geological model can be generated by concurrently solving a system of equations using the weight and the geological data. The geological model can be displayed and can visually represent the cross-sectional shapes of the strata.

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.