A geologically-sound representation for evolutionary multi-objective subsurface identification

A new representation for evolutionary subsurface identification from surface or well geological data is proposed. The idea is to represent the subsurface as the combination of, first, a geologically initial set of horizontal layers and, second, fault parameters like shape and displacements. Based on volume and bed-length preservation, a morphogenesis process then gives the structure at present time. A first implementation of this representation is tested on an artificial geological inverse problem in foothills region: the fault locations and dips are considered as two different objectives, and the e-MOEA multi-objective evolutionary algorithm is applied. The first results show the efficiency of the chosen representation.

[1]  John Lyon Rich,et al.  Mechanics of Low-Angle Overthrust Faulting as Illustrated by Cumberland Thrust Block, Virginia, Kentucky, and Tennessee , 1934 .

[2]  Kalyanmoy Deb,et al.  Simulated Binary Crossover for Continuous Search Space , 1995, Complex Syst..

[3]  Richard W. Allmendinger,et al.  Inverse and forward numerical modeling of trishear fault‐propagation folds , 1998 .

[4]  Kalyanmoy Deb,et al.  On self-adaptive features in real-parameter evolutionary algorithms , 2001, IEEE Trans. Evol. Comput..

[5]  Kalyanmoy Deb,et al.  Multi-objective optimization using evolutionary algorithms , 2001, Wiley-Interscience series in systems and optimization.

[6]  J. Suppe,et al.  Geometry and kinematics of fault-bend folding , 1983 .

[7]  P. W. Geoff Tanner,et al.  Morphology and geometry of duplexes formed during flexural-slip folding , 1992 .

[8]  W. Jamison,et al.  Stress controls on fold thrust style , 1992 .

[9]  M. Schoenauer,et al.  An Automatic Geophysical Inversion Procedure Using a Genetic Algorithm , 2002 .

[10]  Stuart Hardy,et al.  A method for quantifying the kinematics of fault-bend folding , 1995 .

[11]  M. Fischer,et al.  Stratigraphic controls on eformation patterns in fault-related folds: a detachment fold example from the Sierra Madre Oriental, northeast Mexico , 1999 .

[12]  C. D. A. Dahlstrom,et al.  Geometric Constraints Derived from the Law of Conservation of Volume and Applied to Evolutionary Models for Detachment Folding: Geologic Note: (1) , 1990 .

[13]  Juan Contreras.  Kinematic modeling of cross-sectional deformation sequences by computer simulation , 1991 .

[14]  S. Mitra.  Three-dimensional geometry and kinematic evolution of the Pine Mountain thrust system, southern Appalachians , 1988 .

[15]  Michèle Sebag,et al.  Using Domain Knowledge in Evolutionary System Identification , 2006, ArXiv.

[16]  I. Moretti,et al.  Forward modeling of the Southern Apennines , 1989 .

[17]  F. Boschetti,et al.  Inversion of seismic refraction data using genetic algorithms , 1996 .

[18]  Francesco Salvini,et al.  Progressive Rollover Fault-Propagation Folding: A Possible Kinematic Mechanism to Generate Regional-Scale Recumbent Folds in Shallow Foreland Belts , 1996 .

[19]  Gary B. Lamont,et al.  Multiobjective Evolutionary Algorithms: Analyzing the State-of-the-Art , 2000, Evolutionary Computation.

[20]  M. Suter,et al.  A kinematic model for the formation of duplex systems with a perfectly planar roof thrust , 1997 .

[21]  Eric A. Erslev,et al.  Trishear fault-propagation folding , 1991 .

[22]  Julia K. Morgan,et al.  Kinematics and a balanced and restored cross-section across the toe of the eastern Nankai accretionary prism , 1995 .

[23]  Mrinal K. Sen,et al.  Nonlinear one-dimensional seismic waveform inversion using simulated annealing , 1991 .

[24]  Judith S. Chester,et al.  Mechanical stratigraphy and fault fold interaction, Absaroka thrust sheet, Salt River Range, Wyoming , 2003 .

[25]  Nicholas B. Woodward,et al.  Competitive macroscopic deformation processes , 1999 .

[26]  I. Moretti,et al.  LOCACE: Computer-aided construction of balanced geological cross sections , 1989 .

[27]  J. Suppe,et al.  Geometry and kinematics of fault-propagation folding , 1990 .

[28]  W. Jamison,et al.  Quantitative Evaluation of Fractures on Monkshood Anticline, a Detachment Fold in the Foothills of Western Canada , 1997 .

[29]  John G. Ramsay,et al.  Some geometric problems of ramp-flat thrust models , 1992 .