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1.
通过分析比较标准前向列推、标准前向行推、跨阶次递推和Belikov列推4种缔合勒让德递推算法的精度、稳定性以及计算速度,提出了选取Belikov列推法来解算超高阶重力场模型高程异常;研究探讨了基于严密球谐级数展开、保留泰勒级数展开的零阶项和保留至泰勒级数展开一阶项计算模型高程异常的三种算法,并进行了实验计算分析。结果表明,保留至泰勒级数一阶项的模型高程异常既能保证计算速度也能达到足够的精度,可满足大区域高分辨率高程异常建模的需求。  相似文献   

2.
提出一种海底管道沉降计算方法——递推法,应用到胜利油田埕岛海域海底管道沉降计算中,并将计算结果与目前常用的日本规范法和极限法进行比较。研究发现在粉土与粉质粘土为主的强度较高的海床上,递推法与日本规范法计算结果比较接近,极限法的最小;在淤泥质土组成的强度较低的海床上,日本规范法的计算值最大,递推法的居中,极限法的最小。逆推法可计算裸置和埋设两种形式的管道沉降量,而另外两者只能计算裸置管道的沉降。文中进一步讨论了引起管道沉降的影响因素,土体强度和压缩性对管道沉降影响较大。且管道埋深越大,沉降也越大。最后分析了黄河水下三角洲埕岛海域4个区的管道沉降量,Ⅰ区争Ⅱ区管道沉降较小,可以忽略,Ⅳ区沉降较大,在淤泥质软土上的管道,可能会完全陷入土中。  相似文献   

3.
充分利用CQG2000的研究成果,结合GPS水准数据,采用移去恢复(RCR)法求解未知点高程异常比用单纯的GPS水准拟合法,精度有明显改善。给出了具体计算步骤,并将拟合模型分为函数模型和随机模型进行说明,最后结合算例说明了此方法的可行性。  相似文献   

4.
超高阶缔合勒让德函数的计算在地球重力场研究中是影响计算效率的关键因素之一,其计算耗时会随着截断阶数的增加而呈指数上涨。常用的缔合勒让德函数递推算法有标准前向列推法、标准前向行推法、Belikov递推法和跨阶次递推法。为有效提高缔合勒让德函数递推的计算效率,提出利用基于OpenMP的多核并行算法对上述方法进行并行加速,并通过提高数组维度的方法解决了递推运算并行化过程中的不适用问题。实验表明,所提并行算法在保持相同精度的前提下显著提高了缔合勒让德函数递推的计算效率,加速比在3倍以上,最高可达4.6倍。  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.
构建高精度高分辨率的海域重力异常模型,是将海洋重力测量数据应用于全球高程基准统一和水下重力匹配导航等技术领域的关键步骤之一。针对反距离加权插值算法仅利用了海域重力观测值的空间信息,没有考虑重力观测值物理特性的缺陷,提出一种借助EGM2008重力场模型构建海域重力异常模型的反距离插值算法。以DTU10重力异常数值模型为基础数据,设计了海域重力测量数据格网化实验,结果表明本文算法能有效改进海域重力异常格网模型的计算精度。  相似文献   

7.
在确保GPS/水准点成果可靠的前提下,用其对重力法计算所得的高程异常模型进行框架约束,以削弱重力系统与高程和坐标系统间的系统差,实现系统转换,提高最终模型的精度。通过对不同离散数据网格化方法的比较,给出相对计算快捷、精度高的框架约束方法。  相似文献   

8.
本文较为系统地给出了线性多自由度海洋结构物系统不等时间步长冰振反应数值分析单步法和两步法,共六种求解状态的解析递推格式,并且讨论了该算法的某些数值分析特性。本文算法计算精度高,可以求解非正交阻尼问题,是无条件稳定的算法,且满足收敛性要求。文末给出了一个海洋平台冰振反应分析的算例。  相似文献   

9.
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   

10.
超高阶球谐重力场模型由超高阶次勒让德函数构成。即使采用压缩因子递推计算超高阶(如大于3600阶)勒让德函数,在两极附近仍然会出现溢出(上溢或下溢)而导致计算失败。基于对递推公式的分析,利用改进的压缩因子修正递推算法,可以得到直到5400阶次高精度"压缩勒让德函数",且仍可用Horner技术求和。  相似文献   

11.
重力梯度张量是重力位二阶导,相比重力异常能够更好反映局部区域的细节特征。因此重力梯度导航理论上能为惯性导航提供更好的辅助。重力梯度导航的关键技术之一是背景基准图的构建,推导了扰动重力梯度张量与扰动位在局部指北坐标系中的关系式,并基于EGM2008地球重力场模型构建了一块范围的海域扰动重力梯度张量基准图。为了快速构建基准图,选取了合适的勒让德函数,并将每一个梯度张量的计算式改变求和顺序来提高同一纬度圈上的计算点的计算速度。最后利用梯度张量对角线上三元素满足拉普拉斯约束条件的原理验证了所得基准图的正确性。  相似文献   

12.
By the analysis of a practical calculation, this paper describes, for the first time in China, the gravimetric method on the calculation of the height anomaly and the deflection of vertical in the ocean by Stokes' and Vening Meinesz's formula. There are 84 calculation points distributed uniformlic in a calculated area of 2°×2° in the Mid-Pacific. In the course of the calculation, the gravimetric data measured by us, the 1° ×1° mean gravity data "published in other countries and the 25-ordeic gravitational coefficients of GEM8 were used. The results (Fig. 2b) show that the calculated area is an uplift of the geoid, with a mean height anomaly of 42 m, the maximum being 45 m and the minimum 39 m. In the whole calculated area, the variation of the deflection of vertical is rather small, with the maximum 7″·1 and the minimum -0″·2. The major causes of the calculation errors are pointed out and the calculation results are compaired with the data from the satellite altimeter.  相似文献   

13.
Modeling of long-wavelength gravity anomaly is crucial for bathymetry inversion with a gravity-geologic method. We propose a new method, named as iGGM, to approximate the long-wavelength gravity anomalies by using a finite element method based on an adaptive triangular mesh which is constructed by uneven control points. The mesh size is suitably controlled to ensure that there are several control points in each grid. By using iGGM, the bathymetry in the South China Sea (Test Area #1: 112°E–119°E, 12°N–20°N) and East China Sea (Test Area #2: 125°E–130°E, 25°N–30°N) is estimated. The performance of the method was evaluated by comparing the predictions with Earth topographical database 1 (ETOPO1) model and shipborne depths in the test points. Results show that the depths derived by iGGM have a strong correlation with the shipborne depths. In the test points, the mean values of their differences are smaller than 10 m. The standard deviations of their differences are smaller than 120 m and their correlation is stronger than 0.98. Meanwhile, the results provided by the iGGM model are comparable with that obtained by the ETOPO1 model, e.g., the differences between iGGM and ETOPO1 models in test points for Test Areas 1 and 2 are 116 and 70 m in standard deviation, respectively.  相似文献   

14.
《Marine Geodesy》2012,35(1):63-85
Abstract

We introduce an iterative inversion method to address the problems in high-order seafloor topography inversion using gravity data (gravity anomaly and vertical gravity gradient anomaly), such as the difficulty in computing the equation and the uniqueness of the calculation results. A part of the South China Sea is selected as the experimental area. Considering the coherence and admittance function of gravity topography and vertical gravity gradient topography, the inversion band of the gravity anomaly and vertical gravity gradient anomaly in the study area is 30?km–120?km. Seafloor topography models of different orders are constructed using an iterative method, and the performance of each seafloor topography model is analyzed against ETOPO1 and other seafloor topography models. The experimental results show that as the inversion order increases, the clarity and richness of seafloor topographic expression continuously improve. However, the accuracy of seafloor topography inversion does not improve significantly when the inversion order exceeds a certain value, which is related to the contribution of high-order seafloor topography to gravity information. The results show that the accuracy of BGT4 (inversion model constructed by the gravity anomaly) is slightly poorer than that of BVGGT4 (inversion model constructed by the vertical gravity gradient anomaly) in areas with complex topography, such as multi-seamounts and trenches, and the results are generally better in areas with flat seafloor topography.  相似文献   

15.
海底地形是全球地形的重要组成部分,对地球物理科学研究、经济活动等具有重要作用。基于Parker公式,利用卫星测高重力异常和船测水深数据,采用频域的方法反演了疑似马航MH370失事区域的留尼汪海域的10°×10°的海底地形。最后将反演的水深和船测水深、国际通用的海深模型ETOPO1作比较进行精度评估,结果表明:本文反演结果与船测水深相比误差平均值为-26.038 m,标准差为176.588 m;与ETOPO1相比,差异平均值为-33.541 m,标准差为160.769 m。这表明采用重力异常数据,结合船测数据能较高精度地反演海底地形。  相似文献   

16.
HY-2 A(Haiyang-2 A), launched in 2011, is the first ocean dynamic environment satellite of China and is equipped with a radar altimeter as one of the primary payloads. HY-2 A shifted the drift orbit in March 2016 and has been accumulating geodetic mission(GM) data for more than three years with 168-day cycle. In this paper, we present the preliminary gravity field inverted by the HY-2 A/GM data from March 2016 to December 2017 near Taiwan(21°–26°N, 119°–123°E). The gravity anomaly is computed by Inverse Vening Meinesz(IVM) formula with a onedimensional FFT method during remove-restore procedure with the EGM2008 gravity model as the reference field. For comparison, CryoSat-2 altimeter data are used to inverse the gravity field near Taiwan Island by the same method. Comparing with the gravity field derived from CryoSat-2, a good agreement between the two data sets is found. The global ocean gravity models and National Geophysical Data Center(NGDC) shipboard gravity data also are used to assess the performance of HY-2 A/GM data. The evaluations show that HY-2 A and CryoSat-2 are at the same level in terms of gravity field recovery and the HY-2 A/GM altimeter-derived gravity field has an accuracy of 2.922 mGal. Therefore, we can believe that HY-2 A will be a new reliable data source for marine gravity field inversion and has the potentiality to improve the accuracy and resolution of the global marine gravity field.  相似文献   

17.
The approach presented is directed toward a specific adaptation of the least‐squares collocation with noise, yielding smooth predictions of geophysical quantities. The smoothing corresponds here to a truncated gravity field equivalent to an (n’, n') spherical‐harmonic expansion. This is reflected in the truncation, at the degree n‘, of the pertinent covariance and cross‐covariance functions in most (but not all) instances. The smooth predictions of geophysical quantities, made in an equilateral grid corresponding to the truncation degree n‘, serve in constructing contour maps after having been densified for the needs of a contour routine. Such a densification is carried out efficiently via errorless collocation with the degree truncation n‘ throughout. Consistent with this procedure, “residuals” at observation points (i.e., discrepancies between the contour map and the data) are computed using the same algorithm. The complete collocation approach is utilized for a 2° resolution of the earth's gravity field with emphasis on the oceanic geoid, based on the residuals from a global spherical‐harmonic adjustment of SEASAT altimetry. The presented results include contour maps of geoid undulations and gravity anomalies. They are compared to the results of a point‐mass adjustment, another technique based on the spherical‐harmonic adjustment. The agreement between these two techniques is found to be excellent.  相似文献   

18.
Polymetalic sulfide is the main product of sea-floor hydrothermal venting, and has become an important sea-floor mineral resources for its rich in many kinds of precious metal elements. Since 2007, a number of investigations have been carried out by the China Ocean Mineral Resources Research and Development Association(COMRA)cruises(CCCs) along the Southwest Indian Ridge(SWIR). In 2011, the COMRA signed an exploration contract of sea-floor polymetallic sulfides of 10 000 km2 on the SWIR with the International Seabed Authority. Based on the multibeam data and shipborne gravity data obtained in 2010 by the R/V Dayang Yihao during the leg 6 of CCCs21, together with the global satellite surveys, the characteristics of gravity anomalies are analyzed in the Duanqiao hydrothermal field(37°39′S, 50°24′E). The "subarea calibration" terrain-correcting method is employed to calculate the Bouguer gravity anomaly, and the ocean bottom seismometer(OBS) profile is used to constrain the two-dimensional gravity anomaly simulation. The absent Moho in a previous seismic model is also calculated.The results show that the crustal thickness varies between 3 and 10 km along the profile, and the maximum crustal thickness reaches up to 10 km in the Duanqiao hydrothermal field with an average of 7.5 km. It is by far the most thicker crust discovered along the SWIR. The calculated crust thickness at the Longqi hydrothermal field is approximately 3 km, 1 km less than that indicated by seismic models, possibly due to the outcome of an oceanic core complex(OCC).  相似文献   

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