Estimation of Vertical Continuous Stochastic Parameters from Seismic Reflection Data
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This paper presents a scheme to invert reflected seismic wave fields for vertical spatial statistics of the Earth’s continuous stochastic velocity distribution. The forward model is based on a single scattering theory, where a seismogram is modeled as a convolution of a source wavelet and stochastic reflectivity, which obeys a von Kármán autocorrelation function. Tests with synthetic data indicate that the method presented here recovers vertical characteristic length from seismic reflection data that is similar to that of the original velocity model; however, the inversion does not reliably recover the Hurst exponent, ν. The input wavelet’s power spectrum is a free parameter in the inversion and is estimated as well, but is band-limited relative to the original source wavelet. Noise degrades the quality of the estimates of the stochastic parameters such that the recovered stochastic parameters are biased according to the power spectrum of the noise.
KeywordsStochastic earth Reflection seismology Stochastic inversion Characteristic length Hurst exponent
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- Brewster ML, Annan AP (1994) Ground penetrating radar monitoring of a controlled DNAPL release. Geophysics 60(1):140–1146 Google Scholar
- Goff JA, Jordan TH (1988) Stochastic modeling of seafloor morphology: Inversion of Sea Beam data for second-order statistics. J Geophys Res 93:13,589–13,608 Google Scholar
- Press WH, Flannery BP, Teukolsky SA, Vetterling WT (1992) Cubic spline interpolation. In: Numerical recipes in FORTRAN: The art of scientific computing, 2nd edn. Cambridge University Press, Cambridge, pp 107–110 Google Scholar
- Sipkin S, Lerner-Lam AL (1992) Pulse shape distortion introduced by broadband deconvolution. Bull Seismol Soc Am 82:238–258 Google Scholar
- Wagner GS, Langston CA (1992) Body-to-surface-wave scattered energy in teleseismic coda observed at the NORESS seismic array. Bull Seismol Soc Am 82:2126–2138 Google Scholar