A Self-Adjustable Input Genetic Algorithm for the Near-Surface Problem in Geophysics

The method of exploration seismics aims at creating an image of the earth's subsurface structures by active acoustic reflection measurements. However, seismic images acquired from land data are often severely degraded due to complex propagation effects near the surface of the earth. Although some methods have been proposed to address the near-surface problem, it remains largely unsolved. We propose a solution that involves an estimation of the true wave propagation effects through the near-surface area in order to compensate for them without explicitly estimating a velocity-depth model. The estimated one-way propagation operators describe wave propagation between the surface level (i.e., the acquisition level) and a laterally consistent datum reflector level. They are parameterized by one-way travel times along a predefined lateral grid. Based on this solution we present a self-adjustable input genetic algorithm (SAIGA) to estimate these travel time functions. SAIGA is an advanced and scalable genetic algorithm that can overcome the hurdle of excessive calculation time due to large 3-D data volumes, as it optimizes the parameters on a representative subset that is randomly selected and periodically updated from the full input dataset. Finally, we apply SAIGA to a 3-D field dataset containing 2.4 million traces yielding good results within a reasonable calculation time.

[1]  Ali Al-Momin,et al.  Practical Application of CFP Technology to Resolve Complex Near Surface Problems and to Estimate Velocity-Depth Model , 2009 .

[2]  Aldo Vesnaver 'Near-Surface Challenges and Advances in the Arabian Peninsula' , 2006 .

[3]  Fred W. Glover,et al.  ' s personal copy Continuous Optimization Finding local optima of high-dimensional functions using direct search methods , 2008 .

[4]  Fred W. Glover,et al.  Principles of scatter search , 2006, Eur. J. Oper. Res..

[5]  A. Tarantola Inverse problem theory : methods for data fitting and model parameter estimation , 1987 .

[6]  Ralph Bridle,et al.  Comparing state‐of the art near‐surface models of a seismic test line from Saudi Arabia , 2006 .

[7]  M. Turhan Taner,et al.  ESTIMATION AND CORRECTION OF NEAR‐SURFACE TIME ANOMALIES , 1974 .

[8]  Öz Yilmaz,et al.  Seismic data processing , 1987 .

[9]  D. J. Verschuur,et al.  Velocity-independent redatuming: A new approach to the near-surface problem in land seismic data processing , 2002 .

[10]  Kris Vasudevan,et al.  APPLICATION OF THE GENETIC ALGORITHM TO RESIDUAL STATICS ESTIMATION , 1991 .

[11]  Kalyanmoy Deb,et al.  A population-based algorithm-generator for real-parameter optimization , 2005, Soft Comput..

[12]  Tutorial: Incorporating near-surface velocity anomalies in pre-stack depth migration models , 2012 .

[13]  Tatsuya Nomura,et al.  An Analysis of Two-Parent Recombinations for Real-Valued Chromosomes in an Infinite Population , 2001, Evolutionary Computation.

[14]  D. Vígh,et al.  Full Waveform Inversion for Detailed Velocity Model Building , 2012 .

[15]  K. Vasudevan,et al.  Residual statics estimation in crustal reflection profiling using the simulated annealing search technique: an ensemble approach , 1994 .

[16]  Jon F. Claerbout,et al.  Surface-consistent residual statics estimation by stack-power maximization , 1985 .

[17]  A. Tarantola Inversion of seismic reflection data in the acoustic approximation , 1984 .

[18]  Lixing Han,et al.  Effect of dimensionality on the Nelder–Mead simplex method , 2006, Optim. Methods Softw..

[19]  A. J. Berkhout Pushing the limits of seismic imaging, Part I: Prestack migration in terms of double dynamic focusing , 1997 .

[20]  Romain Brossier,et al.  Two-dimensional frequency-domain visco-elastic full waveform inversion: Parallel algorithms, optimization and performance , 2011, Comput. Geosci..

[21]  A. Canning,et al.  Datum Correction By Wave Equation Extrapolation , 1987 .

[22]  B.L.N. Kennett Seismic Migration—Imaging of acoustic energy by wavefield extrapolation A—Theoretical aspects (third edition): A.J. Berkhout, Elsevier, Amsterdam, 1985, xx + 445 pp., US $70.50, Dfl.190.00, ISBN 0 444425470 , 1987 .

[23]  Z. Michalewicz,et al.  A modified genetic algorithm for optimal control problems , 1992 .

[24]  D. J. Verschuur,et al.  Estimation of Complex Near Surface Focusing Operators by Global Optimization , 2005 .

[25]  J. R. Berryhill Wave‐equation datuming before stack , 1984 .

[26]  Dave Marsden,et al.  Static corrections—a review, Part III , 1993 .

[27]  3D elastic full waveform inversion-A random medium example , 2012 .

[28]  Panos G. Kelamis,et al.  Focus on land seismic technology: The near-surface challenge , 2012 .

[29]  T. Bohlen,et al.  On the Effects of Geometrical Spreading Corrections for a 2D Full Waveform Inversion of Recorded Shallow Seismic Surface Waves , 2012 .

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

[31]  D. Verschuur,et al.  An integrated method for resolving the seismic complex near‐surface problem , 2006 .

[32]  Kris Vasudevan,et al.  Simulated annealing statics computation using an order-based energy function , 1991 .

[33]  Mike Cox,et al.  Static Corrections for Seismic Reflection Surveys , 1999 .

[34]  Kris Vasudevan,et al.  Residual statics estimation using the genetic algorithm , 1994 .

[35]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[36]  B. Hartke Global geometry optimization of clusters using genetic algorithms , 1993 .

[37]  D. J. Verschuur,et al.  Solution to the 3D Complex Near Surface Problem by Estimation of Propagation Operators , 2012 .

[38]  S. Operto,et al.  lastic frequency-domain full-waveform inversion , 2009 .

[39]  Aldo Vesnaver,et al.  Ground viscosity and stiffness measurements for near surface seismic velocity , 2006 .

[40]  A. J. Berkhout Pushing the limits of seismic imaging, Part II: Integration of prestack migration, velocity estimation, and AVO analysis , 1997 .

[41]  Daniel H. Rothman,et al.  Automatic estimation of large residual statics corrections , 1986 .

[42]  Daniel H. Rothman,et al.  Nonlinear inversion, statistical mechanics, and residual statics estimation , 1985 .