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针对源自经典Stokes边值理论的大地水准面计算模型适用性问题,提出了3种实用化的Stokes积分模型分阶段改化方法,分析讨论了数据截断误差和观测噪声对大地水准面计算结果的影响,设计了改化计算模型的数值检验方案,使用超高阶位模型EGM2008作为数值模拟标准场,对3种改化计算模型进行了数值计算实验和精度检核,同时开展了数据观测噪声影响评估检验,得出了一些有参考和实际应用价值的研究结论。在一定条件下,使用改化Stokes方法计算大地水准面可获得1 cm的内符合度。 相似文献
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本文以反Stokes公式为数学模型,应用由T/P测高数据计算的大地水准面高反演了海洋平均重力异常,并与船测平均重力异常和OSU91A位模型计算的平均重力异常进行了比以分析,得出了一些有益的结论。 相似文献
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针对源自现代Bjerhammar边值理论的似大地水准面计算模型适用性问题,重点围绕地面重力异常向下延拓和似大地水准面计算两个解算阶段,分别提出了3种实用化的积分模型改化方法,同时设计了三阶段改化模型实验检验方案,使用超高阶位模型EGM2008作为数值模拟标准场,对两个解算阶段不同改化模型的计算效果进行了数值精度检核,并开展了数据观测噪声影响评估检验,得出了一些有参考和实际应用价值的研究结论。在一定条件下,使用改化Bjerhammar方法计算似大地水准面可获得1~2 cm的内符合度。 相似文献
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利用卫星测高技术确定海洋重力场,垂线偏差数据作为导出观测量在实际工作中被普遍采用。利用物理大地测量边值问题的定义以及扰动位在球面边界条件下的解,给出了由垂线偏差计算大地水准面高、重力异常和扰动重力的公式。分析了不同积分计算公式在重力场阶谱表达形式下对垂线偏差误差的抑制作用,也分析了不同积分核函数的变化特性,得出基本结论:在利用卫星测高数据求解海洋重力场时,当以格网化海面垂线偏差数据计算重力场参数时,求解的大地水准面高的有效性和稳定性优于重力异常和扰动重力。 相似文献
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针对源自位场等效源理论和点质量方法的似大地水准面计算模型适用性问题,重点围绕虚拟点质量反演和似大地水准面计算两个解算阶段,分别提出了3种实用化的积分模型改化方法,同时设计了3个阶段改化模型试验检验方案,使用超高阶位EGM2008作为数值模拟标准场,对两个解算阶段不同改化模型的计算效果进行了数值精度检核,并开展了数据观测噪声影响评估检验,得出了一些有参考和实际应用价值的研究结论。在一定条件下,使用改化点质量方法计算似大地水准面可获得1 cm的内符合度。 相似文献
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为充分挖掘海洋重力数据在反演海底地形中的应用潜力,尝试探索利用大地水准面高反演海底地形的技术途径,并以夏威夷—皇帝海山链拐点所在海区作为反演试验区进行验证。首先采用Belikov列推法计算伴随(缔和)勒让德函数,利用EIGEN-6C4地球重力场模型解算获取了分辨率为1'的大地水准面高格网数值模型;然后通过综合分析反演比例函数和转换函数特点、研究海区大地水准面高与海底地形的相干特性以及大地水准面高本身尺度特征,获得了利用大地水准面高反演海底地形的频段范围;最终以试验海区大地水准面高为数据输入,构建了相应的海底地形模型(BNT模型),并与ETOPO1等海深模型进行比对分析。试验结果表明:BNT模型检核差值在一倍均方差范围检核点数量占比70.60%,相比正态分布更加集中;BNT模型检核精度低于ETOPO1等海深模型;海深模型检核精度随着水深增加不断提升,水深小于1 000 m时,海深模型相对误差出现较大发散现象;计算海域ETOPO1模型精度最高,GEBCO模型和DTU10模型检核精度相当。 相似文献
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应用输入输出法逼近局部重力场的关键在于构建有效反映局部重力场特征的功率谱密度函数模型、利用"间接法",基于Moritz协方差模型、Tscherning/Rapp协方差模型和Moritz两分量模型分别构建对应的功率谱密度函数模型,并采用非线性最小二乘法在EGM2008模型的基础上拟合了模型系数。拟合结果表明:在2倍相关长度的相关距离内,Moritz两分量模型求得的理论协方差值与经验协方差值的符合度最好。设计了以EGM2008模型重力异常为基础数据,计算大地水准面高的仿真实验。结果表明:三种模型中,Moritz两分量模型的计算结果精度最高,同传统Stokes方法的计算结果精度相当,与拟合的理论协方差曲线图所反映的结果一致。 相似文献
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针对源自Stokes-Helmert边值理论的大地水准面计算模型适用性问题,首先详细解析了Stokes-Helmert方法的基本原理和计算模型,研究探讨了该方法与其他现有方法的关联性和差异性,分析比较了Stokes-Helmert计算模型和相同类型模型的技术特点,提出了Stokes-Helmert计算模型的实用改化方法,同时设计了4种分步改化模型的实验验证方案,使用超高阶位模型EGM2008作为数值模拟标准场,对分步改化模型的计算效果进行了数值精度检核,并开展了数据观测噪声影响评估检验,得出了一些有参考和实际应用价值的研究结论。在一定条件下,使用改化Stokes-Helmert方法计算(似)大地水准面可获得优于2cm的内符合度。 相似文献
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A detailed gravimetric geoid around Japan has been computed on the basis of 30’ × 30’ block mean free‐air gravity anomalies and GSFC GEM‐8 geopotential coefficient set. The 30’ × 30’ block means were read from various gravity maps around Japan, and the block means have been compiled into the JHDGF‐1 gravity file. Since the gravity file is restricted around Japan (see Figure 1), additional gravity data are needed to perform the Stokes’ integration in the cap with radius ψ0 = 20°. The 1° × 1° block gravity means have been used outside the JHDGF‐1 region. The remarkable features of the gravimetric geoid occur over the trench areas. The geoidal dents over the trenches amount to ‐20~ ‐25 m in comparison with the geoidal heights in the land areas of Japan. The mean error of the 30’ × 30’ detailed gravimetric geoid obtained is estimated to be around 1.4 m, and the relative undulation of the geoid between the distance of a few hundred kilometers may be more accurate. 相似文献
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This study concerns the determination of a regional geoid model in the North Atlantic area surrounding the Azores islands by combining multi-mission altimetry from the ERS (European Remote Sensing) satellites and surface gravity data. A high resolution mean sea surface, named AZOMSS99, has been derived using altimeter data from ERS-1 and ERS-2 35-day cycles, spanning a period of about four years, and from ERS-1 geodetic mission. Special attention has been paid to data processing of points around the islands due to land contamination on some of the geophysical corrections. A gravimetric geoid has been computed from all available surface gravity, including land and sea observations acquired during an observation campaign that took place in the Azores in October 1997 in the scope of a European and a Portuguese project. Free air gravity anomalies were derived by altimetric inversion of the mean sea surface heights. These were used to fill the large gaps in the surface gravity and combined solutions were computed using both types of data. The gravimetric and combined solutions have been compared with the mean sea surface and GPS (Global Positioning System)-levelling derived geoid undulations in five islands. It is shown that the inclusion of altimeter data improves geoid accuracy by about one order of magnitude. Combined geoid solutions have been obtained with an accuracy of better than one decimetre. 相似文献
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Abstract The contribution of bathymetry to the estimation of gravity field related quantities is investigated in an extended test area in the Mediterranean Sea. The region is located southwest of the island of Crete, Greece, bounded between 33? ≤ ? ≤ 35? and 15? ≤ λ ≤ 25?. Gravity anomalies from the KMS99 gravity field and shipborne depth soundings are used with a priori statistical characteristics of depths in a least-squares collocation procedure to estimate a new bathymetry model. Two different global bathymetry models, namely JGP95E and Sandwell and Smith V8, are used to derive the depth a priori statistical information, while the estimated model is compared against both the global ones and the shipborne depth soundings to assess whether there is an improvement. Various marine geoid models are estimated using ERS1 and GEOSAT Geodetic Mission altimetry and shipborne gravity data. In that process, the effect of the bathymetry is computed using both the estimated and the original depths through a residual terrain modeling reduction. The TOPEX/Poseidon Sea Surface Heights, known for their high accuracy and precision, and the GEOMED solution for the geoid in the Mediterranean are used as control for the validation of the new geoid models and to assess the improvement that the estimated depths offer to geoid modeling. The results show that the newly estimated bathymetry agrees better (by about 30 to 300 m) with the shipborne depth soundings and provides smoother residual geoid heights and gravity anomalies (by about 8–20%) than those from global models. Finally, the achieved accuracy in geoid modeling ranges between 6 and 10 cm (1σ). 相似文献
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In this paper we focused on understanding the isostatic compensation of the Ninetyeast Ridge in the overall context of the
Bay of Bengal oceanic lithosphere and the interaction of the ridge system with the north Andaman subduction zone from north
of 7–18°N. This region is characterized by the initial interaction of the Kerguelen hotspot with the Bay of Bengal oceanic
lithosphere. We used satellite altimeter-derived marine geoid, as it should comprehensively reflect the compensations caused
by large spatial wavelength dominated deeper anomaly sources in a hotspot affected lithospheric load like the Ninetyeast Ridge.
Our analyses of the geoid-to-topography ratio (GTR), residual geoid, gravity-to-topographic kernel and upward continuation
of anomalies show the existence of two different types of source compensation bodies beneath the northern (12–18°N) and southern
(7–12°N) Ninetyeast Ridge. In the northern region, the geoid to topography ratio varies from 0.63 ± 0.05 to 0.44 ± 0.03, while
in the southern region it ranges from 1.34 ± 0.09 to 1.31 ± 0.07 which resulted in a north to south increase in the apparent
compensation depth from ~9 to 28 km. The presence of a shallow Moho, low GTR, broader gravity to topography kernel and the
absence of a ridge anomaly from the mantle density dominated upward continued anomaly at z = 300 km indicates that at the northern segment the underplated low density crustal melt is the dominant isostatic compensating
body. However, at the southern ridge segment the high GTR, strong gravity-to-topography kernel and the subsistence of the
anomaly at long wavelengths, even at z = 300 km represents the existence of large volumes of hotspot related underplated dense material as the source of compensation.
The proximity of the dense source compensating body of the southern Ninetyeast Ridge to the Andaman subduction zone affected
the regional mantle driven density gradient flow, as observed from the z = 300 km continued gravity anomaly. The existence of a southern Ninetyeast Ridge in such a transpressional regime has caused
the formation of a forearc sliver at its eastern flank, which is a major crustal deformational structure developed as a result
of ridge-trench collision. 相似文献