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1.
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   

2.
针对源自现代Molodensky边值理论的似大地水准面计算模型适用性问题,首先分析研究了Molodensky级数解计算模型的技术特点,提出了3种特定计算模型的实用改化方法,同时设计了4种分步改化模型检验方案,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Molodensky方法计算似大地水准面可获得1cm的内符合度。  相似文献   

3.
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   

4.
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   

5.
通过对EGM96、WDM94和GFZ重力场模型计算的测区重力(似)大地水准面的比较,选取最适合测区的重力场模型。并利用所选重力场模型,用移去-恢复的方法计算各控制点和待定点的大地水准面高;根据GPS/水准点高程异常数据计算其改正数,按照距离倒数加权内插法将改正数传递到待定点,由于待定点的大地高、模型大地水准面高已知,进而可以求得其高程。  相似文献   

6.
全球重力场模型是当今物理大地测量学最为活跃的研究领域之一。本文基于目前国内外最新的重力场模型理论研究成果,提出了利用中国地区细部数据和全球卫星测高2’×2’网格重力异常扩展超高阶位模型的计算方法,详细讨论了数值解算过程中的稳定性和可靠性问题。以EGM96和GPM98CR模型作为参考模型,在全球意义上分别解算得到MOD99a(360阶)、MOD99b(720阶)和MOD99c/d(1800阶),将系列模型MOD99a/b/c/d同中国地区72个GPS水准大地水准面和全球海洋12个地区的卫星测高大地水准面进行了比较,并通过功率谱分析方法检验了4组模型的有效性和可靠性。  相似文献   

7.
从边值理论出发,推导了顾及Stokes核函数改化的观测值系统误差传播公式,基于超高阶重力场模型设计了仿真试验,以定量分析顾及核函数改化的重力异常系统差对大地水准面计算精度影响。仿真试验结果表明,重力异常系统差对大地水准面的影响表现为系统性特征,顾及核函数改化的Stokes积分公式能显著改进大地水准面计算精度,即使重力异常系统误差达3 mGal,大地水准面精度也优于1 cm,这些成果将为大地水准面精化工程的方案优化和质量评估提供有益参考。  相似文献   

8.
本文首先从重力异常相关性分析、地面重力异常场逼近效果以及数值计算稳定性出发,讨论分析了外部引力场扰动点质量赋值模式的数据结构,提出以窗口移动方式控制点质量对场元观测的作用范围,达到简化模型结构的目的。在此基础上。提出采用超松驰迭代法解算经结构简化以后具有稀疏矩阵特征的边值条件方程,并使用此法实际解算了中国地区1°×1°点质量,最后对解算结果作了全面分析和检验,证明以窗口移动方式简化解算点质量的数据结构,具有多方面的优越性。  相似文献   

9.
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   

10.
于甲  曹立华  冯义楷 《海岸工程》2019,38(4):310-315
研究了基于EGM2008大地水准面模型的高程传递原理,通过青岛地区已知控制点数据计算得到EGM2008大地水准面模型与我国大地水准面差距,利用EGM2008模型计算高程异常的方法,结合GNSS技术实现高程传递。利用青岛市C级GNSS控制网数据,基于EGM2008模型,采用3种不同的拟合方法,建立了区域高程异常残差场,反演高程异常值与已知控制点高程异常值进行比对。利用青岛市D级GNSS点的数据对构建的格网模型的精度进行检核。结果表明:EGM2008大地水准面模型与我国的大地水准面存在22 cm左右的偏差;基于EGM2008模型的高程传递精度可达厘米级,可用于近海高程传递,几种拟合方法精度相当。  相似文献   

11.
GPS技术结合(似)大地水准面模型,可快速高精度的获取测点正常高,因此精化区域(似)大地水准面成为各国家和地区建立现代高程基准的重要任务。利用GPS水准进行区域似大地水准面拟合,通过实验比较分析了二次多项式、三次多项式、多面函数、移动曲面模型,论证了各自模型的特点,实验结果表明:对于地势较平坦的实验区,以上几种方法拟合的区域似大地水准面精度都在4cm以内,都能满足一般工程应用的精度要求,其中移动曲面模型拟合的实验区似大地水准面最佳。  相似文献   

12.
为提高利用重力异常计算重力异常垂直梯度中央区效应的精度,视中央区为矩形域,将重力异常表示成双三次多项式插值形式,引入非奇异变换,推导出了重力异常垂直梯度中央区效应的精密计算公式。以低纬度区域分辨率为2'×2'的重力异常数据为背景场进行了仿真分析,结果表明在解算计算点所在的1个网格的中央区效应时,传统公式与本文导出公式计算结果差值的最大值达数E。该导出公式可为重力异常垂直梯度中央区效应的精密计算提供理论依据。  相似文献   

13.
M. Drago   《Ocean Engineering》2002,29(14):1769-1780
In the last decade, offshore pipeline engineering extended its action field to very deep waters and continental slopes. This implied the necessity to deal with continental slope instability and mass gravity flows. Mass gravity flows are rare and have random occurrence; therefore, considering also the technical difficulties, the direct measurement of the phenomena is practically impossible. This has encouraged the development of physical and numerical models for investigating the characteristics and intensity of the phenomena (Proc. OTC Conf., Houston, TX (2000); Proc. 19th OMAE Conference, New Orleans, LA (2000)). In order to provide design activities with reliable predictive tools, two numerical models, one for debris flows and the other for turbidity currents, have been developed. The two models are coupled by the bottom boundary conditions of the turbidity current model that depends on the instantaneous velocity of the debris flow model. The two models used together provide a tool for the evaluation of a mass gravity flow event starting as a debris flow and evolving into a turbidity current.  相似文献   

14.
ABSTRACT

Different types of gravity observations are available over coastal areas. The main challenge for coastal geoid determination is the proper fusion of heterogeneous gravity data including land, shipborne, airborne, and altimetry-derived gravity data. This paper describes the gravity data fusion and the computation of the gravimetric quasigeoid in the coastal area of mainland China. An iterative procedure of the weighted least-squares prediction based on rectangular harmonic functions is used for merging the land, altimetric, shipborne, and airborne gravity data. Applying the analytical continuation method in Molodensky's theoretic frame, the merged gravity data are then used to determine the gravimetric quasigeoid model by using the generalized Stokes' integral in a remove-compute-restore fashion. The gravimetric quasigeoid model is compared with the height anomalies determined at 662 GPS leveling points over the coastal region of mainland China, where both the geodetic height and the normal height are known. The standard deviations of the differences in the coastal provinces range from 1.8 to 4.4 cm. For the entire computation area, the mean and standard deviation of the differences are 27.9 and 3.9 cm, respectively.  相似文献   

15.
The impact of GOCE Satellite Gravity Gradiometer data on gravity field models was tested. All models were constructed with the same Laser Geodynamics Satellite (LAGEOS) and Gravity Recovery and Climate Experiment (GRACE) data, which were combined with one or two of the diagonal gravity gradient components for the entire GOCE mission (November 2009 to October 2013). The Stokes coefficients were estimated by solving large normal equation (NE) systems (i.e., the direct numerical approach). The models were evaluated through comparisons with the European Space Agency's (ESA) gravity field model DIR-R5, by GPS/Leveling, GOCE orbit determination, and geostrophic current evaluations. Among the single gradient models, only the model constructed with the vertical ZZ gradients gave good results that were in agreement with the formal errors. The model based only on XX gradients is the least accurate. The orbit results for all models are very close and confirm this finding. All models constructed with two diagonal gradient components are more accurate than the ZZ-only model due to doubling the amount of data and having two complementary observation directions. This translates also to a slower increase of model errors with spatial resolution. The different evaluation methods cannot unambiguously identify the most accurate two-component model. They do not always agree, emphasizing the importance of evaluating models using many different methods. The XZ gravity gradient gives a small positive contribution to model accuracy.  相似文献   

16.
This study aims to develop a robust, accurate and computationally efficient hydrodynamic and sediment transport model for dam break flows. The two dimensional shallow water equations are resolved based on the finite volume method with an unstructured quadtree mesh. The sediment transport and bed evolution modules are coupled with hydrodynamic module to predict simultaneously the hydrodynamics, sediment concentrations and morphological changes. The interface flux is computed by the HLL approximate Riemann solver with second order accuracy. The effects of pressure and gravity are included in source term in this model, which can simplify the computation and eliminate numerical imbalance between source and flux terms. For dam break flows occurring in complicated geometries, the quadtree rectangular mesh is used to refine the interesting area and important part. The model is first verified against results from laboratory experiments, existing numerical models and real life case. It is then used to simulate dam break flows over a mobile bed to investigate the bed evolution. The results are compared with experimental data and field data with good agreement. The method is simple, efficient, and conservative. It shows promise for handling hydrodynamic simulation and sediment transport for a wide range of dam break flows.  相似文献   

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