Simulated annealing technique in discrete fracture network inversion: optimizing the optimization

Simulated annealing (SA) has the capacity to handle complex problem of fracture heterogeneity. However, its applications to characterization and modeling of an actual discrete fracture network are limited. Borrowing the context of geothermal reservoirs (where extensive discrete fractures exist), this paper attempts to solve several key practical issues that persist in current models: objective function’s (OF’s) formulation, modification scheme, and stop criteria. The improvements are examined in a case study on an actual fracture outcrop, where results are compared with a current and advanced SA work.

[1]  Emmanuel Gringarten,et al.  3-D geometric description of fractured reservoirs , 1996 .

[2]  M. Cacas.  Modeling fracture flow with a stochastic discrete fracture network: Calibration and validation - 1 , 1990 .

[3]  G. Marsily,et al.  Modeling fracture flow with a stochastic discrete fracture network: calibration and validation: 1. The flow model , 1990 .

[4]  W. Belfield.  Incorporating spatial distribution into stochastic modelling of fractures: multifractals and Levy-stable statistics , 1998 .

[5]  Lingli Wei,et al.  Evaluation of a New Method to Build Geological Models of Fractured Reservoirs Calibrated to Production Data , 2001, Petroleum Geoscience.

[6]  Sheik S. Rahman,et al.  An analytical method for mixed-mode propagation of pressurized fractures in remotely compressed rocks , 2000 .

[7]  Ahmed Ouenes,et al.  Application of Simulated Annealing and Other Global Optimization Methods to Reservoir Description: Myths and Realities , 1994 .

[8]  Mrinal K. Sen,et al.  Global Optimization Methods in Geophysical Inversion , 1995 .

[9]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[10]  B.D.M. Gauthier,et al.  Integrated Fractured Reservoir Characterization: A Case Study in a North Africa Field , 2002 .

[11]  Zhixi Chen,et al.  Characterizing and Modelling of Fractured Reservoirs With Object-Oriented Global Optimization , 2007 .

[12]  John M Kemeny,et al.  An inverse approach to the construction of fracture hydrology models conditioned by geophysical data: An example from the validation exercises at the Stripa Mine , 1991 .

[13]  Donald Geman,et al.  Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[14]  Kien Tran,et al.  Combination of fuzzy ranking and simulated annealing to improve discrete fracture inversion , 2007, Math. Comput. Model..

[15]  Clayton V. Deutsch,et al.  Practical considerations in the application of simulated annealing to stochastic simulation , 1994 .

[16]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[17]  Amilcar Soares,et al.  Integrated Reservoir Characterisation of a Fractured Carbonate Reservoir , 2000 .

[18]  Antoine Mensch,et al.  An inverse technique for developing models for fluid flow in fracture systems using simulated annealing , 1993 .

[19]  Heping Xie,et al.  Multifractal characterization of rock fracture surfaces , 1999 .

[20]  Ahmed Ouenes,et al.  Practical application of fuzzy logic and neural networks to fractured reservoir characterization , 2000 .

[21]  Muhammad Sahimi.  New Models for Natural and Hydraulic Fracturing of Heterogeneous Rock , 1995 .

[22]  Zhixi Chen,et al.  Integrated conditional global optimisation for discrete fracture network modelling , 2006, Comput. Geosci..

[23]  K. Karasaki,et al.  Hydraulic well testing inversion for modeling fluid flow in fractured rocks using simulated annealing: a case study at Raymond field site, California , 2000 .

[24]  Frederick D. Day-Lewis,et al.  Identifying fracture‐zone geometry using simulated annealing and hydraulic‐connection data , 2000 .

[25]  Jan Karel Lenstra,et al.  Job Shop Scheduling by Simulated Annealing , 1992, Oper. Res..

[26]  Richard W. Eglese,et al.  Simulated annealing: A tool for operational research , 1990 .