GPS/声学海底大地测量中声速曲线的线性和双线性近似

Hsin-Hung Chen, Chau-Chang Wang, Wen-Ning Chuang, Bi-Hua Lin, Kun-Hung Li, Jianfeng Su
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引用次数: 2

摘要

为了降低声速变化对GPS/Acoustic定位精度的影响,我们提出了两种合成的声速近似模型,即线性和双线性模型,使得声速近似曲线与精确曲线下的声波传播时间相差可以忽略不计。线性剖面假设声速随深度线性变化,其中表面声速和声速在整个深度上的梯度为设计变量。在双线性模型中,表面声速和破裂深度被视为已知常数,而双线性函数的两个分段梯度是需要估计的变量,以近似声速剖面。对分别在300、1000和2000 m水深的CTD铸件中得到的三种声速剖面进行了数值模拟,对这两种综合模型的性能进行了评估。在双线性近似中,不同的断裂深度对声速剖面的最佳拟合效果不同。因此,本研究探讨了三种声速剖面双线性近似的最佳拟合误差随破裂深度变化的变化。通过现场GPS/声学调查收集的数据,进一步评估了声速曲线的线性和双线性近似的性能。结果表明,声速曲线的线性近似和双线性近似可以有效降低声速变化对GPS/声学定位的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Linear and bilinear approximations of sound speed profiles in GPS/Acoustic seafloor geodesy
To reduce the effect of sound speed variation on the precision of GPS/Acoustic positioning, we present two synthetic models, the linear and bilinear profiles, for the approximation of a sound speed profile so that the acoustic travel times with the approximate and the exact profiles are negligibly different. The linear profile is assumed that the sound speed varies linearly as a function of depth, in which the surface sound speed and the gradient of sound speed over the whole depth are the design variables. In the bilinear model, the surface sound speed and the break depth are regarded as known constants, while the two piecewise gradients of the bilinear function are variables needing to be estimated to approximate a sound speed profile. The performance of the two synthetic models are numerically evaluated for the approximation of three types of sound speed profiles which were derived from CTD casts taken at 300, 1000, and 2000 m water depths, respectively. In the bilinear approximation, varying the break depth results in different best fit to a sound speed profile. Therefore, this study investigates the change in error of the best fit due to the change in break depth for the bilinear approximation of the three types of sound speed profiles. The performance of the linear and bilinear approximations to sound speed profiles are further evaluated by the data collected from a field GPS/Acoustic survey. The results demonstrate that the linear and bilinear approximations of sound speed profiles can effectively reduce the effect of sound speed variation on GPS/Acoustic positioning.
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