顾及声速结构时域变化的海底基准站高精度定位方法

doi:10.11947/j.AGCS.2023.20210326

摘要/Abstract

摘要： 目前广泛采用GNSS-A联合技术进行海底基准站定位,高精度位置反演通常基于声速剖面数据采用等梯度声线跟踪方法实现。但该方法使用的离散声速剖面忽略了声速结构的时域连续变化特性,制约海底点定位精度。本文顾及声速结构时域变化,引入三次B样条函数表征扰动声速,基于声线跟踪理论,构建“分步迭代-渐次修正”的位置信息和声速信息迭代反演模型,进行海底基准站坐标和扰动声速的渐次修正。采用南海实测数据进行验证,结果表明:传统不施加声速修正、基于二次多项式声速修正,以及基于三次B样条函数声速修正的方法,对应的观测值残差均方根误差分别为1.43、0.44和0.21 ms;施加声速修正的反演模型有效消除了声速结构变化引起的声速相关系统性误差,显著提高了海底基准站定位精度。

关键词: GNSS-声学定位, 声速结构, 时域变化, 海底基准站

Abstract: At present, GNSS-Acoustic (GNSS-A) combined technology is widely used in positioning for seafloor geodetic stations. Based on sound velocity profiles (SVPs) data, the equal gradient acoustic ray-tracing method is applied in high-precision position inversion.However, because of the discreteness of the SVPs used in the forementioned method, it ignores the continuous variation of sound velocity structure in time domain, which worsens the positioning accuracy. In this paper, the time-domain variation of sound speed structure (SSS) has been considered, and the cubic B-spline function is applied to characterize the perturbed sound velocity. Based on the ray-tracing theory, an inversion model of “stepwise iteration & progressive corrections” for both positioning and sound speed information is proposed, which conducts the gradual correction of seafloor geodetic station coordinates and disturbed sound velocity. The practical data were used to test the effectiveness of our method. The results show that the root mean square (RMS) errors of the residual values of the traditional methods without sound velocity correction, based on quadratic polynomial correction and based on cubic B-spline function correction are 1.43, 0.44 and 0.21 ms, respectively. The inversion model with sound velocity correction can effectively eliminate the systematic error caused by the change of SSS, and significantly improve the positioning accuracy of the seafloor geodetic stations.

Key words: GNSS-Acoustic positioning, sound speed structure(SSS), temporal variation, seafloor geodetic stations

中图分类号:

P227

赵爽, 王振杰, 聂志喜, 贺凯飞, 刘慧敏, 孙振. 顾及声速结构时域变化的海底基准站高精度定位方法[J]. 测绘学报, 2023, 52(1): 41-50.

ZHAO Shuang, WANG Zhenjie, NIE Zhixi, HE Kaifei, LIU Huimin, SUN Zhen. Precise positioning method for seafloor geodetic stations based on the temporal variation of sound speed structure[J]. Acta Geodaetica et Cartographica Sinica, 2023, 52(1): 41-50.

参考文献

[1] 杨元喜, 刘焱雄, 孙大军, 等. 海底大地基准网建设及其关键技术[J]. 中国科学: 地球科学, 2020, 50(7): 936-945. YANG Yuanxi, LIU Yanxiong, SUN Dajun, et al. Seafloor geodetic network establishment and key technologies[J]. Science China Earth Sciences, 2020, 50(7): 936-945.
[2] 刘经南, 陈冠旭, 赵建虎, 等. 海洋时空基准网的进展与趋势[J]. 武汉大学学报(信息科学版), 2019, 44(1): 17-37. LIU Jingnan, CHEN Guanxu, ZHAO Jianhu, et al. Development and trends of marine space-time frame network[J]. Geomatics and Information Science of Wuhan University, 2019, 44(1): 17-37.
[3] 杨元喜, 徐天河, 薛树强. 我国海洋大地测量基准与海洋导航技术研究进展与展望[J]. 测绘学报, 2017, 46(1): 1-8. YANG Yuanxi, XU Tianhe, XUE Shuqiang. Progresses and prospects in developing marine geodetic datum and marine navigation of China[J]. Acta Geodaetica et Cartographica Sinica, 2017, 46(1): 1-8.
[4] YANG Yuanxi, QIN Xianping. Resilient observation models for seafloor geodetic positioning[J]. Journal of Geodesy, 2021, 95(7): 79.
[5] 刘伯胜, 雷家煜. 水声学原理[M]. 2版. 哈尔滨: 哈尔滨工程大学出版社, 2010. LIU Bosheng, LEI Jiayu. Principle of water acoustics[M]. 2nd ed. Harbin: Harbin Engineering University Press, 2010.
[6] 赵建虎, 刘经南. 多波束测深及图像数据处理[M]. 武汉: 武汉大学出版社, 2008. ZHAO Jianhu, LIU Jingnan. Multi-beam sounding and image data processing[M]. Wuhan: Wuhan University Press, 2008.
[7] XU Peiliang, ANDO M, TADOKORO K. Precise, three-dimensional seafloor geodetic deformation measurements using difference techniques[J].Earth, Planets and Space, 2005, 57(9): 795-808.
[8] 陆秀平, 边少锋, 黄谟涛, 等. 常梯度声线跟踪中平均声速的改进算法[J]. 武汉大学学报(信息科学版), 2012, 37(5): 590-593. LU Xiuping, BIAN Shaofeng, HUANG Motao, et al. An improved method for calculating average sound speed in constant gradient sound ray tracing technology[J]. Geomatics and Information Science of Wuhan University, 2012, 37(5): 590-593.
[9] 辛明真, 阳凡林, 薛树强, 等. 顾及波束入射角的常梯度声线跟踪水下定位算法[J]. 测绘学报, 2020, 49(12):1535-1542.DOI: 10.11947/j.AGCS.2020.20190518. XIN Mingzhen, YANG Fanlin, XUE Shuqiang, et al. A constant gradient sound ray tracing underwater positioning algorithm considering incident beam angle[J]. Acta Geodaetica et Cartographica Sinica, 2020, 49(12): 1535-1542.DOI: 10.11947/j.AGCS.2020.20190518.
[10] WANG Junting, XU Tianhe, ZHANG Bingsheng, et al. Underwater acoustic positioning based on the robust zero-difference Kalman filter[J]. Journal of Marine Science and Technology, 2021, 26(3): 734-749.
[11] ZHAO Jianhu, ZOU Yajing, ZHANG Hongmei, et al. A new method for absolute datum transfer in seafloor control network measurement[J]. Journal of Marine Science and Technology, 2016, 21(2): 216-226.
[12] 孙文舟, 殷晓冬, 暴景阳, 等. 海底控制点定位的半参数平差模型法[J]. 测绘学报, 2019, 48(1): 117-123. DOI: 10.11947/j.AGCS.2019.20180187. SUN Wenzhou, YIN Xiaodong, BAO Jingyang, et al. Semi-parametric adjustment model methods for positioning of seafloor control point[J]. Acta Geodaetica et Cartographica Sinica, 2019, 48(1): 117-123. DOI: 10.11947/j.AGCS.2019.20180187.
[13] 丁士俊. 测量数据的建模与半参数估计[D]. 武汉: 武汉大学, 2005. DING Shijun. Survey data modeling and semiparametric estmating[D]. Wuhan: Wuhan University, 2005.
[14] KIDO M. Detecting horizontal gradient of sound speed in ocean[J]. Earth, Planets and Space, 2007, 59(8): e33-e36.
[15] YOKOTA Y, ISHIKAWA T, WATANABE S I. Gradient field of undersea sound speed structure extracted from the GNSS-A oceanography[J].Marine Geophysical Research, 2019, 40(4): 493-504.
[16] HONSHO C, KIDO M, TOMITA F, et al. Offshore postseismic deformation of the 2011 tohoku earthquake revisited: application of an improved GPS-acoustic positioning method considering horizontal gradient of sound speed structure[J]. Journal of Geophysical Research: Solid Earth, 2019, 124(6): 5990-6009.
[17] KIDO M, OSADA Y, FUJIMOTO H. Temporal variation of sound speed in ocean: a comparison between GPS/acoustic and in situ measurements[J]. Earth, Planets and Space, 2008, 60(3): 229-234.
[18] 何利, 李整林, 彭朝晖, 等. 南海北部海水声速剖面声学反演[J]. 中国科学: 物理学力学天文学, 2011, 41(1): 49-57. HE Li, LI Zhenglin, PENG Zhaohui, et al. Inversion for sound speed profiles in the northern of South China Sea[J]. Scientia Sinica (Physica, Mechanica & Astronomica), 2011, 41(1): 49-57.
[19] 李攀峰, 颜中辉, 杜润林, 等. 菲律宾海中部海域声速剖面结构及季节性变化[J]. 海洋地质与第四纪地质, 2021, 41(1): 147-157. LI Panfeng, YAN Zhonghui, DU Runlin, et al. Structures and seasonal variation of sound velocity profiles in the central Philippine Sea[J]. Marine Geology & Quaternary Geology, 2021, 41(1): 147-157.
[20] 李佳, 杨坤德, 雷波, 等. 印度洋中北部声速剖面结构的时空变化及其物理机理研究[J]. 物理学报, 2012, 61(8): 084301. LI Jia, YANG Kunde, LEI Bo, et al. Research on the temporal-spatial distributions and the physical mechanisms for the sound speed profiles in north-central Indian Ocean[J]. Acta Physica Sinica, 2012, 61(8): 084301.
[21] KINUGASA N, TADOKORO K, KATO T, et al. Estimation of temporal and spatial variation of sound speed in ocean from GNSS-A measurements for observation using moored buoy[J].Progress in Earth and Planetary Science, 2020, 7(1): 1-14.
[22] YOKOTA Y, ISHIKAWA T, WATANABE S I, et al. Kilometer-scale sound speed structure that affects GNSS-A observation: case study off the kii channel[J]. Frontiers in Earth Science, 2020, 8: 331.
[23] FUJITA M, ISHIKAWA T, MOCHIZUKI M, et al. GPS/Acoustic seafloor geodetic observation: method of data analysis and its application[J]. Earth, Planets and Space, 2006, 58(3): 265-275.
[24] NAKAMURA Y, YOKOTA Y, ISHIKAWA T, et al. Optimal transponder array and survey line configurations for GNSS-A observation evaluated by numerical simulation[J]. Frontiers in Earth Science, 2021, 9: 600993.
[25] AGOSTON M K. Computer graphics and geometric modeling[M]. London: Springer, 2005.
[26] 邝英才, 吕志平, 王方超, 等. GNSS/声学联合定位的自适应滤波算法[J]. 测绘学报, 2020, 49(7): 854-864.DOI: 10.11947/j.AGCS.2020.20190393. KUANG Yingcai, LÜ Zhiping, WANG Fangchao, et al. The adaptive filtering algorithm of GNSS/acoustic joint positioning[J]. Acta Geodaetica et Cartographica Sinica, 2020, 49(7): 854-864.DOI: 10.11947/j.AGCS.2020.20190393.
[27] CHEN Guanxu, LIU Yang, LIU Yanxiong, et al. Improving GNSS-acoustic positioning by optimizing the ship's track lines and observation combinations[J]. Journal of Geodesy, 2020, 94(6)::1-14.
[28] JENSEN F B, KUPERMAN W A, PORTER M B, et al. Computational ocean acoustics[M]. New York:Springer New York, 2011.
[29] SAKIC P, BALLU V, CRAWFORD W C, et al. Acoustic ray tracing comparisons in the context of geodetic precise off-shore positioning experiments[J]. Marine Geodesy, 2018, 41(4): 315-330.
[30] 冯士筰, 李凤岐, 李少菁. 海洋科学导论[M].北京:高等教育出版社, 1999. FENG Shizuo, LI Fengqi, LI Shaojing. An introduction to marine science[M]. Beijing: Higher Education Press, 1999.
[31] MUNK W, WUNSCH C. Ocean acoustic tomography: a scheme for large scale monitoring[J]. Deep Sea Research Part A Oceanographic Research Papers, 1979, 26(2): 123-161.
[32] 廖光洪, 朱小华, 林巨, 等. 海洋声层析应用与观测研究综述[J]. 地球物理学进展, 2008, 23(6): 1782-1790. LIAO Guanghong, ZHU Xiaohua, LIN Ju, et al. Overview of the applications and observations of ocean acoustic tomography[J]. Progress in Geophysics, 2008, 23(6): 1782-1790.
[33] CARRIERE O, HERMAND J P, CANDY J V. Inversion for time-evolving sound-speed field in a shallow ocean by ensemble Kalman filtering[J]. IEEE Journal of Oceanic Engineering, 2009, 34(4): 586-602.
[34] YOKOTA Y, ISHIKAWA T. Gradient field of undersea sound speed structure extracted from the GNSS-a oceanography: GNSS-A as a sensor for detecting sound speed gradient[J]. SN Applied Sciences, 2019, 1(7): 693-705.
[35] HUANG Chenfen, GERSTOFT P, HODGKISS W S. Effect of ocean sound speed uncertainty on matched-field geoacoustic inversion[J]. The Journal of the Acoustical Society of America, 2008, 123(6):162-170.
[36] 张伟涛, 张韧, 王辉瓒, 等. 基于Argo观测资料的南海北部海域声速场时空特征分析[J]. 海洋通报, 2013, 32(3): 275-280. ZHANG Weitao, ZHANG Ren, WANG Huizan, et al. Analysis on the characteristics of sound speed in the northern South China Sea based on Argo data[J]. Marine Science Bulletin, 2013, 32(3): 275-280.
[37] CHAPMAN C H. Fundamentals of seismic wave propagation[M]. Cambridge: Cambridge University Press, 2004.
[38] HONSHO C, KIDO M. Comprehensive analysis of traveltime data collected through GPS-acoustic observation of seafloor crustal movements[J]. Journal of Geophysical Research: Solid Earth, 2017, 122(10): 8583-8599.
[39] ZHAO Shuang, WANG Zhenjie, NIE Zhixi, et al. Investigation on total adjustment of the transducer and seafloor transponder for GNSS/Acoustic precise underwater point positioning[J]. Ocean Engineering, 2021, 221: 108533.
[40] 杨元喜. 自适应动态导航定位[M]. 2版. 北京: 测绘出版社, 2017. YANG Yuanxi. Adaptive navigation and kinematic positioning[M]. 2nd ed. Beijing: Surveying and Mapping Press, 2017.