附加先验声速结构约束的GNSS-A观测反演声速剖面

Inversion of Sound Speed Profile using GNSS-A Observations with Prior Sound Speed Structure Constraint

  • 摘要: 实施现场声速剖面测量不仅会增加海底大地测量观测的成本,也会制约各类海底大地测量监测的时效性。基于观测信息反演声速剖面是实现免现场声速剖面测量的有效途径。本文利用日本公开的GNSS-A观测数据集,比较分析了三种不同约束方案对Munk模型、双线性模型和自构经验模型反演声速剖面精度及实施海底大地测量定位精度的影响。实验结果显示,自构经验模型通常具有相对更高的反演精度,与现场实测声速剖面互差的RMS在10-1000 m的浅海约5 m/s,在1000-1727.80 m的深海约1 m/s。海面适当约束且海底梯度松约束时全水深反演精度相对最高。在声线跟踪定位模型中参数化估计声速时空变化补偿参数时,海面适当约束下的自构经验模型反演声速剖面具有相对最高的定位精度,与现场声速剖面定位结果互差的RMS在E、N和U方向分别为2 mm、2 mm和2.2 cm。结果表明,反演声速剖面若要实现高精度定位必须在定位模型中考虑声速时空变化影响。建议采用海面适当约束且海底梯度松约束下的自构经验模型及两级优化方法实现免现场声速剖面测量的海底大地测量定位。

     

    Abstract: Objectives: Implementing in-field sound speed profile (SSP) measurement not only increases the cost of seafloor geodetic observation but also constrains the timeliness of various seafloor geodetic monitoring activities. Inverting SSP based on observational information is an effective approach to replacing in-field SSP measurement. Methods: Using the publicly available GNSS-A observation dataset from the Japan Coast Guard, this paper comparatively analyzes the influence of three different constraint schemes on the accuracy of inverting SSP for the Munk model, bilinear model, and self-constructed empirical model, as well as their influence on the precision of seafloor geodetic positioning. Results: The self-constructed empirical model generally has relatively higher inversion accuracy. The RMS of the difference between the model and in-field measured SSPs is about 5 m/s in shallow waters from 10 to 1000 meters and about 1 m/s in deep waters from 1000 to 1727.80 meters. The inversion accuracy in full-depth waters is relatively highest when the sea surface is moderately constrained and the seafloor gradient is loosely constrained. When parameterizing the estimation of sound speed spatial-temporal variation compensation parameters in the ray tracing positioning model, the inversion SSPs from the self-constructed empirical model have the highest relative positioning accuracy under conditions of appropriate sea surface constraints. The RMS of difference between these profiles and the in-field measured SSP positioning results are 2 mm, 2 mm, and 2.2 cm in the E, N, and U directions, respectively. Conclusions: To achieve high-precision positioning of the inverted SSP, it is necessary to consider the spatialtemporal variation of sound speed in the positioning model. It is recommended to utilize a selfconstructed empirical model with appropriate sea surface constraints and loose seafloor gradient constraints and a two-level optimization method to achieve seafloor geodetic positioning without in-field SSP.

     

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