Three-dimensional kinematic model of fault networks.

in: 2026 {RING} meeting, pages 72--84, ASGA

Abstract

Parametric kinematic operators describe the near-field displacement around faults with a small number of geometric parameters, introducing kinematic consistency into structural modelling from sparse data, or using forward structural modelling. Existing formulations, however, are restricted to isolated faults and do not account for the geometric constraints imposed by branch lines. We extend the operator of Godefroy et al. (2018) to fault branching, where a branching fault terminates against a main fault. The branching operator is first built as if the branching fault were isolated, then constrained by the main fault: the displacement is truncated by a visibility test and decomposed with respect to the branch line, into a compatible component along the branch-line direction, which is left unchanged, and an incompatible component, which is progressively reoriented tangent to the main fault and attenuated so as to vanish on the branch line. This treatment adds a single parameter and prevents crossings and gaps at the fault junction. It was implemented in three dimensions and demonstrated on synthetic layercake models whose fault dimensions and displacements follow natural scaling laws; its evaluation on seismic images is underway. This single-parameter extension preserves the tractability and efficiency of parametric operators for inverse problems and generative structural modelling for more realistic management of the near-field displacement of fault networks.

Download / Links

BibTeX Reference

@inproceedings{Fliti2026RM,
 abstract = {Parametric kinematic operators describe the near-field displacement around faults with a small number of geometric parameters, introducing kinematic consistency into structural modelling from sparse data, or using forward structural modelling. Existing formulations, however, are restricted to isolated faults and do not account for the geometric constraints imposed by branch lines. We extend the operator of Godefroy et al. (2018) to fault branching, where a branching fault terminates against a main fault. The branching operator is first built as if the branching fault were isolated, then constrained by the main fault: the displacement is truncated by a visibility test and decomposed with respect to the branch line, into a compatible component along the branch-line direction, which is left unchanged, and an incompatible component, which is progressively reoriented tangent to the main fault and attenuated so as to vanish on the branch line. This treatment adds a single parameter and prevents crossings and gaps at the fault junction. It was implemented in three dimensions and demonstrated on synthetic layercake models whose fault dimensions and displacements follow natural scaling laws; its evaluation on seismic images is underway. This single-parameter extension preserves the tractability and efficiency of parametric operators for inverse problems and generative structural modelling for more realistic management of the near-field displacement of fault networks.},
 author = {Fliti, Fethi and Caumon, Guillaume and Laurent, Gautier},
 booktitle = {2026 {RING} meeting},
 language = {en},
 pages = {72--84},
 publisher = {ASGA},
 title = {Three-dimensional kinematic model of fault networks.},
 year = {2026}
}