Combined Adaptive Multiscale and Level-Set Parameter Estimation

We propose a solution strategy for parameter estimation, where we combine adaptive multiscale estimation (AME) and level-set estimation (LSE). The approach is applied to the nonlinear inverse probl...

[1]  D. Tortorelli,et al.  Design sensitivity analysis: Overview and review , 1994 .

[2]  J. Sethian,et al.  FRONTS PROPAGATING WITH CURVATURE DEPENDENT SPEED: ALGORITHMS BASED ON HAMILTON-JACOB1 FORMULATIONS , 2003 .

[3]  Tony F. Chan,et al.  A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model , 2002, International Journal of Computer Vision.

[4]  Trond Mannseth,et al.  Nonlinearity, Scale, and Sensitivity for Parameter Estimation Problems , 1999, SIAM J. Sci. Comput..

[5]  C. Chavent,et al.  Multiscale Parametrization for the Estimation of a Diffusion Coefficient in Elliptic and Parabolic Problems , 1989 .

[6]  Olivier Gosselin,et al.  Effect of Scale Dependent Data Correlations in an Integrated History Matching Loop Combining Production Data and 4D Seismic Data , 2003 .

[7]  Akhil Datta-Gupta,et al.  A Multiscale Approach to Production Data Integration Using Streamline Models , 1999 .

[8]  K. Kunisch,et al.  NEW RESULTS ON THE NON-LINEARITY AND THE SENSITIVITY OF THE ESTIMATION OF THE DIFFUSION COEFFICIENT IN A 2D ELLIPTIC EQUATION , 1999 .

[9]  Akhil Datta-Gupta,et al.  A Comparison of Travel-Time and Amplitude Matching for Field-Scale Production Data Integration: Sensitivity, Non-Linearity and Practical Implications , 2003 .

[10]  Roland N. Horne,et al.  Multiresolution Wavelet Analysis for Improved Reservoir Description , 2005 .

[11]  Xue-Cheng Tai,et al.  Level set methods for a parameter identification problem , 2002, Analysis and Optimization of Differential Systems.

[12]  K. Aziz,et al.  Petroleum Reservoir Simulation , 1979 .

[13]  Jorge J. Moré,et al.  The Levenberg-Marquardt algo-rithm: Implementation and theory , 1977 .

[14]  Muni S. Srivastava,et al.  Regression Analysis: Theory, Methods, and Applications , 1991 .

[15]  Trond Mannseth,et al.  Assessing the validity of a linearized accuracy measure for a nonlinear parameter estimation problem , 2001 .

[16]  George R. Gavalas,et al.  Identifiability of Estimates of Two-Phase Reservoir Properties in History Matching , 1984 .

[17]  Jun Liu.  A Multiresolution Method for Distributed Parameter Estimation , 1993, SIAM J. Sci. Comput..

[18]  Roland N. Horne,et al.  A Procedure to Integrate Well Test Data, Reservoir Performance History and 4-D Seismic Information into a Reservoir Description , 1997 .

[19]  J. Sethian,et al.  A Fast Level Set Method for Propagating Interfaces , 1995 .

[20]  F. Santosa.  A Level-set Approach Inverse Problems Involving Obstacles , 1995 .

[21]  S. Lewis,et al.  Regression analysis , 2007, Practical Neurology.

[22]  Trond Mannseth,et al.  Comparison of Methods for Downscaling of Coarse Scale Permeability Estimates , 2004 .

[23]  G. Marsily,et al.  An Automatic Solution for the Inverse Problem , 1971 .

[24]  Trond Mannseth,et al.  Resolution Power of Pressure Data for Permeability Identification , 2006 .

[25]  Trond Mannseth,et al.  Permeability Identification from Pressure Observations: Some Foundations for Multiscale Regularization , 2006, Multiscale Model. Simul..

[26]  I. Berre,et al.  A level-set corrector to an adaptive multiscale permeability prediction , 2007 .

[27]  D. G. Watts,et al.  Relative Curvature Measures of Nonlinearity , 1980 .

[28]  T. Chan,et al.  Multiple level set methods and some applications for identifying piecewise constant functions ∗ , 2003 .

[29]  Trond Mannseth,et al.  Adaptive Multiscale Permeability Estimation , 2003 .