Study on vibration scribing algorithm for anabsolute gravitational measurement

Long Jianfengup,　Huang Dalunup　Teng Yuntian　Wu Qiong　Guo Xinup payd

Abstract

In view of the vibration error introduced by the measurement of self-developed high-precision absolute gravimeter prototype, this paper presents a new vibration suppression algorithm. The algorithm uses time information of the intersection of a set of parallel lines with the same slope and the vibration curves of reference prism recorded to determine the time displacement coordinates of gravitational acceleration calculations on the falling trajectory. Using the least square method, the absolute gravity value was obtained based on these coordinates. Analysis on the algorithmrsquo;s applicability to different gravity values and the suppression for different interference noises show that this algorithm can effectively improve system deviation and accuracy of the measurement for the interference with dominant frequency greater than 0.2 Hz and peak-to-peak values less than 500 counts. Finally, the result from actual experimental data shows that the algorithm has doubled the measurement accuracy and can provide software support for miniaturization and mobile measuring of absolute gravimeters.

References

郭有光, 黄大伦, 方永源, 张光远, 周景华, 徐进义. 1988. NIM——Ⅱ型可移动激光绝对重力仪［J］. 地球物理学报, 31(1): 73——81.

郭有光, 黄大伦, 方永源, 刘达伦, 徐进义. 2000. 原子重力仪与经典激光绝对重力仪比对测量的符合性讨论［C］//第三届海峡两岸计量科技学术研究计会论文集. 兰州: 计量学报期刊社: 100——107.

黄大伦. 1983. 绝对重力测量的几个误差问题［J］. 地球物理学报, 26(增刊): 718——725.

王庆宾, 吴晓平. 2001. 绝对重力观测值的改正［J］. 测绘学院学报, 18(3): 160——163.

王勇, 张为民. 1997. 高精度绝对重力测量在地壳垂直运动研究中的作用和应用前景［J］. 地壳形变与地震, 17(3): 98——102.

吴琼, 郭有光, 滕云田, 池顺良, 黄大伦, 方永源, 安海力. 2011. 绝对重力仪设计中的一种新型落体控制方式［J］. 地球物理学进展, 26(2): 443——449.

张赤军, 张为民. 2007. 空气阻力与科里奥利力对绝对重力测量的影响［J］. 大地测量与地球动力学, 27(1): 77——79.

张为民, 王勇, 周旭华. 2008a. 我国绝对重力观测技术应用研究及发展［J］. 大地测量与地球物理学进展, 23(1): 69——102.

张为民, 郝晓光, 郭有光, 时文涛, 王虎彪, 詹金刚. 2008b. 绝对重力仪研制中几种干扰因素的实验研究［J］. 地球物理学进展, 23(4): 1143——1148.

Araya A, Sekiya K, Shindo Y. 2007. Laser——interferometric broadband seismometer for ocean borehole observations［J/OL］//Symposium on Underwater Technology and Workshop on Scientific Use of Submarine Cables and Related Technologies, April: 17——20 ［2010——11——01］. http://www.ieee.org/index.html.

Araya A, Kanazawa T, Shinohara M, Yamada T, Fujimoto H, Iizasa K, Ishihara T. 2011. A gravity gradiometer to search for submarine ore deposits［J/OL］//Symposium on Underwater Technology and Workshop on Scientific Use of Submarine Cables and Related Technologies, April: 5——8 ［2011——10——01］. http://www.ieee.org/index.html.

Bich W, D′Agostino G, Germak A, Pennecchi F. 2007. Uncertainty Propagation in a non——linear regression analysis: Application to a ballistic absolute gravimeter(IMGC——02)［J/OL］// IEEE International Workshop on Advanced Methods for Uncertainty Estimation in Measurement, July: 16——18 ［2010——11——01］. http://www.ieee.org/index.html.

Bich W, D′Agostino G, Germak A, Pennecchi F. 2008. Evaluating measurement uncertainty in absolute gravimetry: An application of the Monte Carlo method［J/OL］// IEEE International Workshop on Advanced Methods for Uncertainty Estimation in Measurement, July: 67——71 ［2010——11——01］. http://www.ieee.org/index.html.

Cerutti G, Cannizzo L, Sakuma A, Hostache J. 1974. A transportable apparatus for absolute gravity measurement［J］. VDI——Berichte, 212: 49——51.

Niebauer T M, Sasagawa G S, Faller J E, Hilt R, Klopping F. 1995. A new generation of absolute gravimeters［J］. Metrologia, 32(3): 159——180.

Rothleitner C. 2008. Ultra——high Precision, Absolute Earth Gravity Measurements［D］. Erlangen: Institute of Optics, Information and Photonics University Erlangen——Nuremberg: 40——48.

Robertsson L. 2007. On the diffraction correction in absolute gravimetry［J］. Metrologia, 44(1): 35——39.

van Ruymbeke M, Somerhausen A, Grammatica N. 1995. Calibration of gravimeters with the VRR 8601 calibration platform［J］. Metrologia, 32(4): 209——216.