O(T2)精度下椭球界面Dirichlet边值问题的积分解     

于锦海 《地球物理学报》2004,47(1)

研究了边界是参考椭球面的Laplace方程Dirichlet边值问题的求解，在O(ε4·T)精 度下给出了参考椭球界面上扰动重力位Dirichlet外问题的积分解式. 该结果理论上优于目 前常用的球近似下的积分解式，从而为研究物理大地测量中边值问题的求解提供了新的依据  相似文献   

Incremental elastoplastic FEM for simulating the deformation process of suction caissons subjected to cyclic loads in soft clays     

《Applied Ocean Research》2016

This paper presents an incremental elastoplastic finite element method (FEM) to simulate the undrained deformation process of suction caisson foundations subjected to cyclic loads in soft clays. The method is developed by encoding the total-stress-based bounding surface model proposed by the authors in the ABAQUS software package. According to the model characteristics, elastoplastic stress states associated with the incremental strains of each iteration are determined using the sub-incremental explicit Euler algorithm, and the state parameters describing the cyclic accumulative rates of strains are updated by setting state variables during the calculations. The radial fallback method is also proposed to modify the stress states outside the bounding surface to the surface during determination of the elastoplastic stress states. The stress reversals of soil elements are judged by the angle between the incremental deviatoric stress and the exterior normal vector at the image stress point on the bounding surface to update the mapping centre and state variables during cyclic loading. To assess the general validity of the method, the reduced scale model tests and centrifuge tests of suction caissons subjected to cyclic loads are simulated using the method. Predictions are in relative good agreement with test results. Compared with the limit equilibrium and quasi-static methods, the method can not only determine the cyclic bearing capacity, but can also analyse the deformation process and the failure mechanisms of suction caisson under cyclic loads in soft clays.  相似文献   

实际井眼条件下过套管电阻率测井响应的传输线方程正演算法   总被引：7，自引：4，他引：3       下载免费PDF全文

刘福平  高杰  孙宝佃  包德洲  杨长春 《地球物理学报》2007,50(6):1905-1913

过套管电阻率测井通过测量套管壁电势实现测量地层视电阻率,不同的地层模型对过套管电阻率测井会有不同的测井响应. 在传输线方程系数中本文考虑了径向含多个界面地层的影响,对轴向（井轴方向）呈层状、径向阶跃变化地层模型,给出了电势分布递推公式,计算了过套管电阻率测井响应,绘出了测井响应曲线. 算例表明,该方法有较强的轴向地层界面分辨能力;对径向均匀地层计算结果非常接近地层模型电导率,能较好地反映实际地层特征;对高电导地层,低电导水泥环有明显的测井响应;当径向存在多个地层界面时计算结果则为径向各层电导率的综合反映,不是某一径向层的电导率;算例显示该方法有较快（算例运行时间在1s内）的计算速度.  相似文献   

流动环境中倾斜浮力射流的积分方法   总被引：2，自引：0，他引：2       下载免费PDF全文

槐文信  李炜 《水科学进展》1993,4(4):301-308

给出了基于积分方法的一种倾斜浮力射流的数学模型,且流速、密度和浓度差剖面假定为高斯分布,并导出了用来封闭该数学模型的较为完全的掺入率公式.用计算精度较高的有限分析法计算这类定解问题,计算结果与试验资料基本吻合.  相似文献   

一种利用积分球原理的日照计新方案   总被引：2，自引：0，他引：2       下载免费PDF全文

王炳忠 《应用气象学报》1995,6(4):436-441

该文提出了一种利用积分球原理设计的新型日照传感器。该传感器由限角挡环、积分球体和光电探测器组成。积分球为一有5个针孔的空心正球体。针孔可阻挡散射光进入球内，而射入球内的直射光，经内壁多次漫反射后，其亮度呈均匀分布。与日照阈值下相应的亮度相比较可确定日照之有无。该日照传感器具有无转动部件、结构简单、无需调整及便于操作等优点。  相似文献   

The Relegation Algorithm     

André Deprit  Jesúus Palacián  Etienne Deprit 《Celestial Mechanics and Dynamical Astronomy》2001,79(3):157-182

The relegation algorithm extends the method of normalization by Lie transformations. Given a Hamiltonian that is a power series = ₀+ ₁+ ... of a small parameter , normalization constructs a map which converts the principal part ₀into an integral of the transformed system — relegation does the same for an arbitrary function [G]. If the Lie derivative induced by [G] is semi-simple, a double recursion produces the generator of the relegating transformation. The relegation algorithm is illustrated with an elementary example borrowed from galactic dynamics; the exercise serves as a standard against which to test software implementations. Relegation is also applied to the more substantial example of a Keplerian system perturbed by radiation pressure emanating from a rotating source.This revised version was published online in October 2005 with corrections to the Cover Date.  相似文献   

Possibilities of GPS Kinematic Measurements for Geological Survey in East Slovakia     

Vladimir  Sedlak  Viera  Hurcikova 《地球空间信息科学学报》2002,5(4):21-25

This paper deals with transformation procedures for observed GPS data from the world geodetic system WGS-84 into the national geodetic grid datum S-UTCN(system of united trigonometric cadaster network) and Baa(the Baltic Sea after adjustment).Transformation from WGS-84 into SUTCN is performed most frequently by means of the 7-element Helmert transformation with three identical points.Geodetic network was adjusted by two ways.  相似文献   

A note on magnetic modelling with remanence     

Peter Furness 《Journal of Applied Geophysics》2001,48(4)

The general problem of magnetic modelling involves accounting for the effect of both remanent magnetization and the application of an external magnetic field. However, as far as the disturbing field of a magnetic body in a magnetic environment is concerned, there is an equivalence between the effects of these two causations that allows the remanence to be represented in terms of an equivalent primary magnetic H field. Moreover, due to the linearity of the magnetic field in terms of its causations, the general modelling problem involving an applied magnetic field in the presence of remanence can be simply and more efficiently dealt with in terms of an equivalent primary field acting in the absence of any remanent magnetization.  相似文献   

基于边界积分方程的"准三极"法电阻率层析成像     

毛先进  鲍光淑 《地球物理学进展》2000,15(2):40-46

基于边界积分方程,提出了依据二极采样数据、但利用电位差的某种线性组合的"准三极"电阻率层析成像方法.研究表明,该方法不仅较好地解决了对高阻异常体的成像问题,而且使低阻异常体的成像质量获得了明显改善和提高,因此增强了电阻率层析成像技术的实用性.  相似文献   

瞬态弹性波散射的变换域积分方程法          下载免费PDF全文

时刚  高广运 《地震工程学报》2006,28(3):225-228

针对瞬态弹性波散射的问题,从弹性动力学问题的积分表示定理出发,采用Laplace变换的方法,得到了变换域内均质体位移场的积分方程表示;在此基础上推导了适合瞬态弹性波对异质体散射求解的变换域位移场积分方程。  相似文献