Construction of series ultra-high-degree Earth's gravity field models DQM2022 and their precision evaluation

doi:10.11947/j.AGCS.2024.20230530

Abstract

Abstract:

Based on ellipsoidal harmonic analysis, the regional integral correction iteration method and the global integral correction iteration method for construction of ultra-high-degree Earth's gravity field model (EGM) are proposed in this paper. The limitations of the traditional regional integral correction method are solved, and the precision of the improved EGMs applied in China is effectively improved. Taking EGM2008 and EIGEN-6C4 EGMs as the initial models, and series ultra-high-degree EGMs DQM2022 are constructed based on the latest 5′×5′ measured grid mean gravity anomaly data in China and its surrounding areas, and their complete degree and order is 2190. The precision of improved EGMs are evaluated by measured gravity anomaly on the ground, GNSS/leveling and astrogeodetic vertical deflection. The results show that the precision of the improved EGMs are significantly improved when indicating the gravity field in China, compared with the initial models, i.e., the precision of gravity anomaly, elevation anomaly, and vertical deflection are improved by 2.4~2.8 mGal, 1.0~2.4 cm, and 0.07″~0.15″, respectively. When indicating the gravity field in China, the improved EGMs based on the EIGEN-6C4 initial model have the highest precision, the precision of elevation anomaly and vertical deflection are about 10.6 cm, and 2.1″, respectively.

Key words: regional integral correction iteration method, global integral correction iteration method, ultra-high-degree Earth's gravity field model, ellipsoidal harmonic analysis, gravity anomaly, elevation anomaly, vertical deflection

CLC Number:

P223

Yunpeng WANG, Xiaogang LIU, Qi LI, Duan LI, Liu FANG. Construction of series ultra-high-degree Earth's gravity field models DQM2022 and their precision evaluation[J]. Acta Geodaetica et Cartographica Sinica, 2024, 53(8): 1505-1516.

Figures/Tables 10

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References 35

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数据类型	最大值	最小值	平均值	标准差
重力异常/mGal	358.59	－284.03	1.20	51.74
高程（正常高）/m	6 573.20	－150.56	1 005.28	1 524.63

比对项目	EGM2008	EIGEN－6C4	DQM2022RA	DQM2022GA	DQM2022RB	DQM2022GB
最大值	92.24	94.94	59.34	61.60	43.45	48.47
最小值	－254.10	－237.78	－86.39	－86.26	－82.35	－79.39
平均值	－1.76	－1.79	－1.60	－1.65	－1.62	－1.68
标准差	8.74	8.36	6.14	6.34	5.52	5.72

区域	比对项目	EGM2008	EIGEN－6C4	DQM2022RA	DQM2022GA	DQM2022RB	DQM2022GB
区域1	最大值	1.104	0.922	0.906	0.919	0.658	0.656
	最小值	－0.903	－0.584	－0.795	－0.819	－0.116	－0.109
	平均值	0.259	0.271	0.260	0.260	0.269	0.269
	标准差	0.165	0.118	0.148	0.149	0.089	0.090
区域2	最大值	0.610	0.550	0.562	0.576	0.511	0.529
	最小值	0.012	0.052	－0.008	－0.011	0.041	0.048
	平均值	0.285	0.281	0.281	0.281	0.277	0.278
	标准差	0.097	0.081	0.089	0.088	0.070	0.070
区域3	最大值	1.425	0.894	1.267	1.194	0.662	0.647
	最小值	－1.424	－0.265	－1.614	－1.570	－0.339	－0.300
	平均值	0.236	0.237	0.242	0.245	0.243	0.246
	标准差	0.316	0.141	0.311	0.305	0.135	0.134
区域4	最大值	1.125	0.728	0.914	0.915	0.581	0.602
	最小值	－0.442	－0.274	－0.464	－0.441	－0.152	－0.158
	平均值	0.337	0.287	0.300	0.305	0.247	0.251
	标准差	0.364	0.213	0.350	0.352	0.180	0.186
区域5	最大值	0.627	0.598	0.536	0.562	0.575	0.582
	最小值	－0.782	－0.258	－0.656	－0.663	－0.239	－0.205
	平均值	0.047	0.086	0.062	0.059	0.103	0.100
	标准差	0.198	0.182	0.185	0.187	0.155	0.153
全国	最大值	1.730	0.955	1.958	1.979	0.815	0.771
	最小值	－1.424	－0.695	－1.614	－1.570	－0.539	－0.324
	平均值	0.254	0.262	0.256	0.256	0.263	0.262
	标准差	0.194	0.130	0.184	0.182	0.106	0.106

数据类型	比对项目	EGM2008	EIGEN－6C4	DQM2022RA	DQM2022GA	DQM2022RB	DQM2022GB
Δξ	最大值	15.23	12.36	14.51	14.50	12.30	13.38
	最小值	－16.99	－15.02	－15.48	－15.55	－14.27	－14.16
	平均值	0.19	0.21	0.25	0.26	0.30	0.29
	标准差	2.38	2.19	2.29	2.26	2.12	2.05
Δη	最大值	27.15	28.04	26.14	26.62	26.94	27.29
	最小值	－14.67	－14.75	－16.67	－16.66	－16.90	－16.84
	平均值	－0.13	－0.17	－0.16	－0.16	－0.20	－0.19
	标准差	2.37	2.26	2.23	2.22	2.12	2.11