基于不同规范的重力仪双程往返零漂率计算分析

doi:10.11720/wtyht.2023.1526

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Abstract

Gravity survey is an important part of geodetic mapping and geophysical exploration. Different gravity specifications adopt different methods to calculate the zero drift rates in two-way reciprocal observations (i,j,j',i'). The repeated measurements of point j are subjected to static drift in the geological survey specification. By contrast, the zero drift rate is calculated through regression analysis in the petroleum specification. Different processing methods for the repeated measurement interval of point j yield significantly different zero drift rates based on the two specifications. Through theoretical formula analysis and comparison of measured data, this study analyzed the influence of g'_j- $g j$ and t'_j-t_j in the repeated measurements of point j on the calculation of the zero drift rate. By comparing with the regression analysis, this study illustrated the importance of static drift in reducing the uncertainties caused by instrument performance and measurement environment. Moreover, this study proposed the applicable conditions of the two specifications.

Key words： specification gravity measurement two-way reciprocal observation zero drift rate static drift

Received: 27 October 2022 Published: 27 October 2023

ZTFLH:

P631

Corresponding Authors: ZHANG Xiang E-mail: 2585479415@qq.com;810173902@qq.com

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	Xiao-Peng CHANG
	Liang CHEN
	Xiang ZHANG
	Ling-Xiao ZHANG
	Zhang-Liu ZHU
	Yan-Yi QIAO

Cite this article:

Xiao-Peng CHANG,Liang CHEN,Xiang ZHANG, et al. Calculation and analysis of zero drift rates of gravimeters in two-way reciprocal observations based on different specifications[J]. Geophysical and Geochemical Exploration, 2023, 47(5): 1307-1315.

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https://www.wutanyuhuatan.com/EN/10.11720/wtyht.2023.1526 OR https://www.wutanyuhuatan.com/EN/Y2023/V47/I5/1307

Determination of zero displacement R line

	三台仪器的对比值/(mGal·h^-1)
序号	4490#			131213#			132218#
序号	未剔除 $j$ 点间隔零漂率K₁	剔除 $j$ 点间隔零漂率K₂	石油规范计算零漂率K₃	未剔除 $j$ 点间隔零漂率K₁	剔除 $j$ 点间隔零漂率K₂	石油规范计算零漂率K₃	未剔除 $j$ 点间隔零漂率K₁	剔除 $j$ 点间隔零漂率K₂	石油规范计算零漂率K₃
1	-0.0092	-0.0296	-0.0053	-0.0131	-0.0255	-0.0107	0.0000	-0.0118	0.0021
2	0.0020	-0.0097	0.0041	-0.0030	-0.0109	-0.0016	-0.0197	-0.0387	-0.0167
3	0.0094	0.0102	0.0093	-0.0036	-0.0078	-0.0029	0.0020	-0.0135	0.0043
4	0.0075	0.0066	0.0077	-0.0008	0.0000	-0.0010	-0.0026	-0.0062	-0.0021
5	-0.0051	-0.0131	-0.0037	0.0151	0.0169	0.0148	-0.0053	-0.0248	-0.0019
6	-0.0106	-0.0188	-0.0093	-0.0088	-0.0131	-0.0081	0.0051	-0.0065	0.0065

Comparison with the zero drift rate in the technical specification of petroleum gravity exploration

	三台仪器对比值/(mGal·h^-1)
序号	4490#								131213#
序号	$j$ 点时间差 $t' j - t j$		$j$ 点读数差 $g' j - g j$	$j$ 点两次测量零漂率K₀		未剔除 $j$ 点间隔零漂率K₁	剔除 $j$ 点间隔零漂率K₂	变化率/%	$j$ 点时间差 $t' j - t j$		$j$ 点读数差 $g' j - g j$	$j$ 点两次测量零漂率K₀	未剔除 $j$ 点间隔零漂率K₁		剔除 $j$ 点间隔零漂率K₂	变化率/%
1	0:16:42		0.011	0.0395		-0.0092	-0.0296	222.06	0:16:31		0.005	0.0170	-0.0131		-0.0255	94.71
2	0:11:34		0.008	0.0398		0.0020	-0.0097	-571.74	0:12:09		0.004	0.0198	-0.0030		-0.0109	266.19
3	0:09:53		0.001	0.0061		0.0094	0.0102	8.52	0:11:08		0.002	0.0108	-0.0036		-0.0078	114.93
4	0:11:00		0.002	0.0109		0.0075	0.0066	-12.44	0:10:58		-0.001	-0.0036	-0.0008		0.0000	-100.00
5	0:10:49		0.004	0.0222		-0.0051	-0.0131	159.19	0:10:53		0.002	0.0092	0.0151		0.0169	11.98
6	0:08:40		0.003	0.0208		-0.0106	-0.0188	77.90	0:10:05		0.001	0.0060	-0.0088		-0.0131	47.96
序号		132218#
序号		$j$ 点时间差 $t' j - t j$			$j$ 点读数差 $g' j - g j$		$j$ 点两次测量零漂率K₀			未剔除 $j$ 点间隔零漂率K₁		剔除 $j$ 点间隔零漂率K₂		变化率/%
1		0:14:34			0.008		0.0330			0.0000		-0.0118
2		0:10:21			0.009		0.0502			-0.0197		-0.0387		95.85
3		0:09:39			0.011		0.0684			0.0020		-0.0135		-790.64
4		0:07:44			0.002		0.0155			-0.0026		-0.0062		139.76
5		0:10:58			0.010		0.0565			-0.0053		-0.0248		371.47
6		0:06:39			0.008		0.0752			0.0051		-0.0065		-226.34

Comparison of zero drift rate of round-trip measurement

K₀、K₁ positive and negative consistency

K₀ "reverse direction" fluctuation

	三台仪器对比值/(mGal·h^-1)
序号	4490#				131213#				132218#
序号	未剔除 $j$ 点间隔零漂率K₁	剔除 $j$ 点间隔零漂率K₂	$i - j$ 时间间隔	$j$ 点间隔对增量的影响	未剔除 $j$ 点间隔零漂率K₁	剔除 $j$ 点间隔零漂率K₂	$i - j$ 时间间隔	$j$ 点间隔对增量的影响	未剔除 $j$ 点间隔零漂率K₁	剔除 $j$ 点间隔零漂率K₂	$i - j$ 时间间隔	$j$ 点间隔对增量的影响
1	-0.0092	-0.0296	0:20:36	0.0070	-0.0131	-0.0255	0:18:34	0.0038	0.0000	-0.0118	0:17:41	0.0035
2	0.0020	-0.0097	0:19:21	0.0038	-0.0030	-0.0109	0:16:31	0.0022	-0.0197	-0.0387	0:18:07	0.0057
3	0.0094	0.0102	0:22:22	0.0003	-0.0036	-0.0078	0:21:03	0.0015	0.0020	-0.0135	0:20:30	0.0053
4	0.0075	0.0066	0:17:52	0.0003	-0.0008	0.0000	0:19:06	0.0003	-0.0026	-0.0062	0:19:16	0.0012
5	-0.0051	-0.0131	0:16:23	0.0022	0.0151	0.0169	0:19:08	0.0006	-0.0053	-0.0248	0:18:00	0.0059
6	-0.0106	-0.0188	0:16:58	0.0023	-0.0088	-0.0131	0:19:17	0.0014	0.0051	-0.0065	0:22:19	0.0043

Comparison of influence value of j-point interval on increment

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