Applied Research Laboratories, University of Texas at Austin, 10000 Burnet Road, Austin, Texas 78758, USA.
J Acoust Soc Am. 2011 Feb;129(2):652-61. doi: 10.1121/1.3523432.
A geoacoustic inversion scheme to estimate the depth-dependent sound speed characteristics of the shallow-water waveguide is presented. The approach is based on the linearized perturbative technique developed by Rajan et al. [J. Acoust. Soc. Am. 82, 998-1017 (1987)]. This method is applied by assuming a background starting model for the environment that includes both the water column and the seabed. Typically, the water column properties are assumed to be known and held fixed in the inversion. Successful application of the perturbative inverse technique lies in handling issues of stability and uniqueness associated with solving a discrete ill-posed problem. Conventionally, such problems are regularized, a procedure which results in a smooth solution. Past applications of this inverse technique have been restricted to cases for which the water column sound speed profile was known and sound speed in the seabed could be approximated by a smooth profile. In this work, constraints that are better suited to specific aspects of the geoacoustic inverse problem are applied. These techniques expand on the original application of the perturbative inverse technique by including the water column sound speed profile in the solution and by allowing for discontinuities in the seabed sound speed profile.
提出了一种用于估计浅海波导中深度相关声速特性的地声反演方案。该方法基于 Rajan 等人开发的线性化微扰技术[J. Acoust. Soc. Am. 82, 998-1017 (1987)]。该方法通过假设环境的背景起始模型来应用，该模型包括水柱和海底。通常，假设水柱特性是已知的，并在反演中保持固定。微扰逆技术的成功应用在于处理与求解离散不适定问题相关的稳定性和唯一性问题。传统上，这些问题通过正则化来解决，这一过程会得到一个平滑的解。过去对这种逆技术的应用仅限于已知水柱声速剖面的情况，并且可以通过平滑的剖面来近似海底的声速。在这项工作中，应用了更适合地声反演问题具体方面的约束条件。这些技术通过将水柱声速剖面纳入解中，并允许海底声速剖面存在不连续性，扩展了微扰逆技术的原始应用。
