Dettmer Jan, Dosso Stan E, Holland Charles W
School of Earth and Ocean Sciences, University of Victoria, Victoria, BC V8W 3P6, Canada.
J Acoust Soc Am. 2007 Dec;122(6):3327-37. doi: 10.1121/1.2793609.
This paper develops a Bayesian inversion for recovering multilayer geoacoustic (velocity, density, attenuation) profiles from a full wave-field (spherical-wave) seabed reflection response. The reflection data originate from acoustic time series windowed for a single bottom interaction, which are processed to yield reflection coefficient data as a function of frequency and angle. Replica data for inversion are computed using a wave number-integration model to calculate the full complex acoustic pressure field, which is processed to produce a commensurate seabed response function. To address the high computational cost of calculating short range acoustic fields, the inversion algorithms are parallelized and frequency averaging is replaced by range averaging in the forward model. The posterior probability density is interpreted in terms of optimal parameter estimates, marginal distributions, and credibility intervals. Inversion results for the full wave-field seabed response are compared to those obtained using plane-wave reflection coefficients. A realistic synthetic study indicates that the plane-wave assumption can fail, producing erroneous results with misleading uncertainty bounds, whereas excellent results are obtained with the full-wave reflection inversion.
本文开发了一种贝叶斯反演方法,用于从全波场(球面波)海底反射响应中恢复多层地球声学(速度、密度、衰减)剖面。反射数据源自针对单个海底相互作用加窗的声学时间序列,对其进行处理以生成作为频率和角度函数的反射系数数据。使用波数积分模型计算反演的复制数据,以计算全复声压场,对其进行处理以产生相应的海底响应函数。为了解决计算短程声场的高计算成本问题,反演算法进行了并行化处理,并且在正演模型中用距离平均代替了频率平均。后验概率密度通过最优参数估计、边际分布和可信区间来解释。将全波场海底响应的反演结果与使用平面波反射系数获得的结果进行了比较。一项实际的综合研究表明,平面波假设可能不成立,会产生具有误导性不确定性界限的错误结果,而全波反射反演则能获得出色的结果。