A new type of algorithm for rebuilding the trace of free-fall body in absolute gravimeter development
-
摘要: 真空系统中落体做自由下落运动的轨迹重建算法，是进行拟合求解绝对重力测量结果的关键步骤之一．在自主研制小型高精度激光干涉绝对重力仪的过程中，基于目前高速发展的数字测量技术，提出一种自由落体轨迹重建的算法．其基本原理是：首先通过高速采样，得到落体自由下落过程中产生的一系列数字化的激光干涉信号；其次通过数字处理算法提取干涉信号每次过零前后采样点的时间坐标；然后按照相同的下落高度均分这些过零点，得到落体运动轨迹上的ldquo;时间-位移rdquo;坐标，从而重建落体轨迹．模拟实验表明，该算法时间平均误差在plusmn;0.01 ns范围以内，由此引入的计算测量重力加速度平均误差为5.2times;10-12 m/s2，一次完整测量循环的时间为15s，计算时间为2.5 s.该结果保证了高精度绝对重力仪研制中对测量速度和计算精度的要求．Abstract: Rebuilding the trace of a free-fall body in the vacuum is one of the key steps in findinggravitational acceleration from the sampled fringe signals. This paper proposed an algorithm for rebuilding the trace during the independent process of developing small Laser Interference Absolute Gravimeter. The basic principles are: ① Computing the time of the points before and after zero-crossing of a completely sampled fringe signal, which is generated by a freely falling body, and getting the time coordinates of zero-crossing points; ② Dividing these time coordinates to get the Time-Displacement Coordinates in the body trace using the same displacement interval. In the experiment, we found that it needs 2.5 s to complete one calculation, the average timing accuracy is plusmn;0.01 ns, the induced error is 5.2times;10-12 m/s2, and one complete measurement time is 15 s. The results satisfy the demand of the measurement speed and the accuracy in developing the high precision laser interference absolute gravimeter.
-
-
程力， 张雅杰， 蔡体菁. 2007. 重力辅助导航匹配区域选择准则［J］. 中国惯性技术学报， 15(5): 559——563.
郭有光， 钟斌， 边少峰. 2003. 地球重力场确定与重力场匹配导航［J］. 海洋测绘, 23(5): 61——64.
刘栋勋， 刘文泰. 1984. 重力预报地震动态［J］. 四川地震， （1）: 27——31.
钱进， 刘忠有， 张小平, 石春英， 刘秀英， 王悍平， 蔡山， 谭慧萍. 2008. 一种新型的碘稳定633 nm He——Ne激光系统［J］. 计量学报, 29(1): 10——13.
游泽霖， 徐菊生. 1984. 精密绝对重力测量在地震研究中的应用［J］. 地壳形变与地震， 4（4）: 410——414.
张善法， 孟令顺， 杜晓娟, 张凤旭， 马国庆. 2009. 高精度重力测量在金矿采空区探测中的应用研究［J］. 地球物理学进展， 24(2): 590——595.
Bich W, D’Agostino G, Germak A, Pennecchi F. 2007. Uncertainty propagation in a nonlinear regression analysis: Application to a ballistic absolute gravimeter (IMGC——02)［C］//Advanced Methods for Uncertainty Estimation in Measurement, 2007 IEEE International Workshop: 30——34.
D’Agostino G, Germak A, Desogus S, Origlia C, Barbato G. 2005. A method to estimate the time——position coordinates of a free——falling test——mass in absolute gravimetry［J］. Institute of Physics Publishing, 42(4): 233——238.
D’Agostino G, Desogus S, Germak A, Origlia C, Quagliotti D, Berrino G, Corrado G, d’Errico V Ricciardi G. 2008. The new IMGC——02 transportable absolute gravimeter: Measurement apparatus and applications in geophysics and volcanology［J］. Annals of Geophysics, 51(1): 39——49.
de Angelis M, Bertoldi A, Cacciapuoti L, Giorgini A, Lamporesi G, Prevedelli M, Saccorotti G, Tino G M. 2009. Precision gravimetry with atomic sensors［J］. Measurement Science and Technology, 20(2): 1——16.
Durando G, Desogus S, Mazzoleni F. 2002. Accuracy assessment of analysis of a free——fall gravimeter data［C］//Conference Digest 2002/Conference on Precision Electromagnetic Measurements. Ottawa, Ontario, Canada: 86——87.
Hinderer J, Florsch N, Makinen J, Legros H, Faller J E. 1991. On the calibration of a superconducting gravimeter using absolute gravity measurements［J］. Geophys J Int, 106（2）: 491——497.
Rothleitner Ch, Svitlov S, Merimeche H, Hu H, Wang L J. 2009. Development of new free——fall absolute gravimeters［J］. Metrologia, 46（3）: 283——297.
Sakuma A. 1984. Present status of the absolute measurement of gravitational acceleration［G］//Taylor B N , Phillips W D eds. Precision Measurement and Fundamental Constants Ⅱ. Washington, D C: U S Government Printing Office: 397——404.
Simon D P, Williams, T F. Graham Jeffries B. 2001. Absolute gravity measurements at UK tide gauges［J］. Geophys Res Lett, 28(12): 2317——2320.
Sugihara M. 2003. Geothermal reservoir monitoring with an FG5 absolute gravimeter［C］//Proceedings, Twenty——Eighth Workshop on Geothermal Reservoir Engineering. Stanford University, Stanford, California.
Vilibic I. 1997. Global sea level rise? New techniques for the absolute sea level measurement［J］. Geofizika, 14: 119——131.
Van Camp M, Camelbeeck T, Richard P. 2003. The FG5 absolute gravimeter: Metrology and geophysics［J］. Physicalia Magazine, Journal of the Belgian Society,25(3): 161——174.
Zumberge M A, Rinker R L, Faller J E. 1982. A portable apparatus for absolute measurements of the earth’s gravity［J］. Metrologia, 18(3): 145——152.
程力， 张雅杰， 蔡体菁. 2007. 重力辅助导航匹配区域选择准则［J］. 中国惯性技术学报， 15(5): 559——563.
郭有光， 钟斌， 边少峰. 2003. 地球重力场确定与重力场匹配导航［J］. 海洋测绘, 23(5): 61——64.
刘栋勋， 刘文泰. 1984. 重力预报地震动态［J］. 四川地震， （1）: 27——31.
钱进， 刘忠有， 张小平, 石春英， 刘秀英， 王悍平， 蔡山， 谭慧萍. 2008. 一种新型的碘稳定633 nm He——Ne激光系统［J］. 计量学报, 29(1): 10——13.
游泽霖， 徐菊生. 1984. 精密绝对重力测量在地震研究中的应用［J］. 地壳形变与地震， 4（4）: 410——414.
张善法， 孟令顺， 杜晓娟, 张凤旭， 马国庆. 2009. 高精度重力测量在金矿采空区探测中的应用研究［J］. 地球物理学进展， 24(2): 590——595.
Bich W, D’Agostino G, Germak A, Pennecchi F. 2007. Uncertainty propagation in a nonlinear regression analysis: Application to a ballistic absolute gravimeter (IMGC——02)［C］//Advanced Methods for Uncertainty Estimation in Measurement, 2007 IEEE International Workshop: 30——34.
D’Agostino G, Germak A, Desogus S, Origlia C, Barbato G. 2005. A method to estimate the time——position coordinates of a free——falling test——mass in absolute gravimetry［J］. Institute of Physics Publishing, 42(4): 233——238.
D’Agostino G, Desogus S, Germak A, Origlia C, Quagliotti D, Berrino G, Corrado G, d’Errico V Ricciardi G. 2008. The new IMGC——02 transportable absolute gravimeter: Measurement apparatus and applications in geophysics and volcanology［J］. Annals of Geophysics, 51(1): 39——49.
de Angelis M, Bertoldi A, Cacciapuoti L, Giorgini A, Lamporesi G, Prevedelli M, Saccorotti G, Tino G M. 2009. Precision gravimetry with atomic sensors［J］. Measurement Science and Technology, 20(2): 1——16.
Durando G, Desogus S, Mazzoleni F. 2002. Accuracy assessment of analysis of a free——fall gravimeter data［C］//Conference Digest 2002/Conference on Precision Electromagnetic Measurements. Ottawa, Ontario, Canada: 86——87.
Hinderer J, Florsch N, Makinen J, Legros H, Faller J E. 1991. On the calibration of a superconducting gravimeter using absolute gravity measurements［J］. Geophys J Int, 106（2）: 491——497.
Rothleitner Ch, Svitlov S, Merimeche H, Hu H, Wang L J. 2009. Development of new free——fall absolute gravimeters［J］. Metrologia, 46（3）: 283——297.
Sakuma A. 1984. Present status of the absolute measurement of gravitational acceleration［G］//Taylor B N , Phillips W D eds. Precision Measurement and Fundamental Constants Ⅱ. Washington, D C: U S Government Printing Office: 397——404.
Simon D P, Williams, T F. Graham Jeffries B. 2001. Absolute gravity measurements at UK tide gauges［J］. Geophys Res Lett, 28(12): 2317——2320.
Sugihara M. 2003. Geothermal reservoir monitoring with an FG5 absolute gravimeter［C］//Proceedings, Twenty——Eighth Workshop on Geothermal Reservoir Engineering. Stanford University, Stanford, California.
Vilibic I. 1997. Global sea level rise? New techniques for the absolute sea level measurement［J］. Geofizika, 14: 119——131.
Van Camp M, Camelbeeck T, Richard P. 2003. The FG5 absolute gravimeter: Metrology and geophysics［J］. Physicalia Magazine, Journal of the Belgian Society,25(3): 161——174.
Zumberge M A, Rinker R L, Faller J E. 1982. A portable apparatus for absolute measurements of the earth’s gravity［J］. Metrologia, 18(3): 145——152.
计量
- 文章访问数: 1594
- HTML全文浏览量: 625
- PDF下载量: 146
下载:
