起伏地表条件下地震波场数值模拟有限积分变换有限差分方法     

李健  孙建国 《吉林大学学报(地球科学版)》2007,(Z1)

针对起伏地表条件下的地震波数值模拟问题,提出将起伏的地表映射到一个规则的长方形网格坐标系中,并在此基础上推导出变换域中的波动方程。根据导出来的波动方程应用有限余弦变换有限差分方法进行地震波场的数值模拟,以解决起伏地表条件下的数值模拟。  相似文献   

Modeling errors in upward continuation for INS gravity compensation     

Christopher Jekeli  Jong-Ki Lee  Jay H. Kwon 《Journal of Geodesy》2007,81(5):297-309

Accurate upward continuation of gravity anomalies supports future precision, free-inertial navigation systems, since the latter cannot by themselves sense the gravitational field and thus require appropriate gravity compensation. This compensation is in the form of horizontal gravity components. An analysis of the model errors in upward continuation using derivatives of the standard Pizzetti integral solution (spherical approximation) shows that discretization of the data and truncation of the integral are the major sources of error in the predicted horizontal components of the gravity disturbance. The irregular shape of the data boundary, even the relatively rough topography of a simulated mountainous region, has only secondary effect, except when the data resolution is very high (small discretization error). Other errors due to spherical approximation are even less important. The analysis excluded all measurement errors in the gravity anomaly data in order to quantify just the model errors. Based on a consistent gravity field/topographic surface simulation, upward continuation errors in the derivatives of the Pizzetti integral to mean altitudes of about 3,000 and 1,500 m above the mean surface ranged from less than 1 mGal (standard deviation) to less than 2 mGal (standard deviation), respectively, in the case of 2 arcmin data resolution. Least-squares collocation performs better than this, but may require significantly greater computational resources.  相似文献   

河南省地热资源开发利用现状及展望     

王宝玉 《河南国土资源》1998,(2)

河南省地热资源丰富,在开封、周口、舞阳、济源、南阳盆地以及濮阳凹陷、汤阴地堑有望找到很好的热储层。现已开发的热储层为埋深８００～１３００ｍ的第三系中细砂层,水温４０～５０℃,水质优良。如果加深钻井深度至２０００ｍ,则有望找到７０℃以上的高温地热水,届时省内地热资源开发利用将上一个新台阶,达到供热采暖水平。文中对河南省地热资源的开发利用现状作一简要介绍,并对如何提高开发利用水平和资源保护提出建议。  相似文献   

Closed Form Solutions of the Two-Dimensional Turning Bands Equation   总被引：1，自引：0，他引：1  

Tilmann Gneiting 《Mathematical Geology》1998,30(4):379-390

The turning bands method generates realizations of isotropic Gaussian random fields by means of appropriately summed line processes. For two-dimensional simulations the relation between the isotropic correlation function of the random field and the correlation function to be simulated along the lines is given by an integral equation of Abel type. We present closed form solutions of this integral equation for almost all two-dimensional correlation models encountered in practice and discuss their numerical implementation. As an additional benefit, our tables and illustrations serve as a concise guide to correlation models useful in geostatistics.  相似文献   

Electromagnetic 2.5-dimensional forward modelling with a boundary integral formulation     

E. Ngakosso  A. Straub  M. Saillard  P. Vincent 《Geophysical Journal International》1998,135(3):1028-1044

An effective and accurate technique for the numerical solution of 2-D electromagnetic scattering problems with 3-D sources is presented. This solution introduces a set of the usual boundary integral equations and uses a scalar Green's function. In this scalar version, the unknowns of the problem are the boundary values of the longitudinal fields and their normal derivatives in the Fourier domain. A generalization of the usual boundary integral formulation enables us to handle a large class of models composed of piecewise homogeneous domains, including contiguous domains, multiply-connected domains and unbounded domains. This formulation involves the solution of a system of linear equations, and results in a significant saving in computation time in comparison with other rigorous methods.
  The requirements for the numerical implementation of this solution are described in detail. Numerical tests were carried out using the important example of electromagnetic tomography. The specific symmetry properties of the response function in this case are illustrated. Numerical accuracy is verified over a large frequency range, up to 1  MHz.  相似文献   

Interaction of water waves with vertical cylinders using null-field integral equations     

Jeng-Tzong Chen  Ying-Te Lee  Yi-Jhou Lin 《Applied Ocean Research》2009,31(2):101-110

The scattering of water waves by bottom-mounted vertical circular cylinders is solved by using the null-field integral equations in conjunction with degenerate kernels and Fourier series to avoid calculating the Cauchy and Hadamard principal values. In the implementation, the null-field point can be exactly located on the real boundary owing to the introduction of degenerate kernels for fundamental solutions. An adaptive observer system of polar coordinates is considered to fully employ the properties of degenerate kernels. For the hypersingular equation, vector decomposition for the radial and tangential gradients is carefully considered. This method can be seen as a semi-analytical approach since errors attribute from the truncation of Fourier series. Neither hypersingularity in the Burton and Miller approach nor the CHIEF concept was required to deal with the problem of irregular frequencies. Five advantages of free of calculating principal value, well-posed algebraic system, convergence rate of exponential order, meshfree and elimination of boundary-layer effect, are achieved by using the present approach. Numerical results are given for the forces and free-surface elevation around the circular boundaries. Also, the near-trapped behavior arisen from the physical resonance is detected. A general-purpose program for water wave impinging several circular cylinders with arbitrary number, radii, and positions was developed. Several examples of water wave structure interaction by vertical circular cylinders were demonstrated to see the validity of the present formulation.  相似文献   

动态矿区DEM生成方法及其在土地复垦中的应用研究   总被引：2，自引：1，他引：1  

韩奎峰  康建荣 《测绘科学》2009,34(3)

首先根据我国矿区土地复垦工作中存在的不足,通过研究提出"动态土地复垦"的概念,并确定了动态土地复垦方案制定的数据基础——动态矿区数字高程模型。动态矿区数字高程模型应该包含煤矿生产对地表的累积影响结果数据和地表的原始地形信息,开采沉陷预计结果可以提供前者,地面测量可以提供后者,经过数据处理可以按时间间隔生成描述塌陷区的一系列数字高程模型(DEM)(准动态),然后运用DEM的空间分析技术提取塌陷区在不同时间段的土地破坏类型、范围和位置数据,并根据这些数据进行动态土地复垦方案决策数据的提取,经实例验证该方法可行。  相似文献   

双拱初始缺陷海底管线水平向整体屈曲数值模拟分析   总被引：1，自引：0，他引：1  

刘润  刘文彬  洪兆徽  闫澍旺 《海洋科学》2015,39(8):86-94

为了研究具有双拱反对称初始缺陷海底管线的整体屈曲特性,采用模态分析法将最可能出现的缺陷形态引入数值分析模型中。针对管线在高温高压作用下发生整体屈曲的动态变形特征,运用显式动力数值模拟方法研究了管线整体屈曲过程中水平向变形与轴向变形随温度和内压的变化规律,建立了在整体屈曲过程中屈曲管段与滑动管段轴力的变化过程与初始缺陷形态的关系。将数值模拟结果同经典解析解和室内模型实验结果进行对比,验证了本方法的可靠性。工程算例的分析结果表明,管线整体屈曲的发生是一个由低阶向高阶发展的过程,具有双拱缺陷的管线首先发生二阶模态的整体屈曲,而后过渡到四阶模态;管线整体屈曲的变形包括屈曲段的水平向变形和滑动管段的轴向缩进,其中水平变形释放了管壁内的轴力,轴力的释放量随初始缺陷尖锐程度的降低而增大;轴向缩进变形由于受到地基土的摩阻力使滑动管段内的轴力发生累积,轴力的累积量随初始缺陷的尖锐程度的降低而增加。以上研究成果对指导实际工程具有现实意义。  相似文献   

基于三轴加速度的波浪测量技术研究     

赵杰  惠力  初士博  盖志刚  朱洪海  杨俊贤  王志 《海洋技术学报》2015,34(5):66-70

以浮标为载体,以TMS320C6416型DSP处理器、三轴加速度传感器、电子罗盘为硬件电路核心,利用加速度频域二次积分的波高计算方法以及三轴加速度倾角补偿电子罗盘的波向测量方式,进行海洋波浪要素测量技术研究,获取了某一海域不同时段的波浪特征值。  相似文献   

海底管道整体式止屈器性能研究与穿越压力预测     

徐万海  庞涛  闫术明  刘其民  李国辉 《海洋工程》2022,40(3):22-31

整体式止屈器可有效抑制海底管道屈曲传播并避免管道的大规模屈曲失效。为探究整体式止屈器的止屈特性,预测其穿越压力,利用ABAQUS软件建立有限元模型,分析了整体式止屈器厚度、长度、径厚比等参数对穿越压力和穿越形式的影响机制,揭示了整体式止屈器的止屈特性。研究结果表明:在平行穿越阶段,增加止屈器厚度、有效长度可明显提升穿越压力;而在垂直穿越阶段,穿越压力增长速率明显放缓。结合有限元模拟结果,拟合得到了整体式止屈器在不同穿越形式下的穿越压力预测公式,其相较于已有经验公式准确性更高,对整体式止屈器的设计和建造具有重要的指导意义。  相似文献