Method for modelling the spatial distribution of geometric objects in an environment, such as faults in a geologic formation

摘要

A method for modelling a configuration of a fault network in a subsoil zone including a group of major faults detected by means of an exploration of the zone, by positioning also in the fault network, corresponding to an identical tectonic event, minor faults that have not been detected during the exploration is disclosed. The method includes analyzing the fault network to determine fractal characteristics thereof successively by randomly selecting minor faults and positioning each of the minor faults by determining a fractal dimension of the fault network and a density function defining a distribution of lengths of the faults; selecting a range of lengths of the faults by extrapolation of the defined distribution of the lengths of the faults; and successively randomly positioning the minor faults in the fault network and testing positioning thereof to check if the fault network with each of the positioned minor faults remains a fractal fault network.