A Discrete Wavenumber Boundary Element Method for study of the 3-D response 2-D scatterers     

Apostolos S. Papageorgiou  Duoli Pei 《地震工程与结构动力学》1998,27(6):619-638

A mathematical formulation of the 2·5D elastodynamic scattering problem is presented and validated. The formulation is a straightforward extension of the Discrete Wave number Boundary Integral Equation Method (DWBIEM) originally proposed by Kawase¹ for 2D scattering problems and subsequently extended to the 3D problem by Kim and Papageorgiou.² It is demonstrated that the Green's function which is appropriate for a boundary formulation of the 2·5D elastodynamic scattering problem is the one corresponding to a unit force moving on a straight line with constant velocity. Such a Green's function is derived in the present study. The formulation may be used to study the wavefields in models of sedimentary deposits (e.g. valleys) or topography (e.g. canyons or ridges) with a 2D variation in structure but obliquely incident plane waves. The advantage of a 2·5D formulation is that it provides the means for calculations of 3D wavefields in scattering problems by requiring a storage comparable to that of the corresponding 2D calculations. © 1998 John Wiley & Sons, Ltd.  相似文献   

四川盆地西南缘龙马溪组泥岩地球化学特征及物源区和构造背景分析   总被引：1，自引：0，他引：1  

张茜  肖渊甫  王晓飞  余谦  王剑  赵安坤  门玉澎  周业鑫 《地质论评》2020,66(5):1393-1410

本文对川西南荥经地区龙马溪组泥岩的岩石学、矿物学及元素地球化学开展了研究,探讨了龙马溪组沉积环境、物源区属性及构造背景。结果表明,研究区龙马溪组泥岩砂质、钙质含量较高,指示其沉积水体较浅。稀土元素特征及及A—CN—K图解说明龙马溪组泥岩组成较少受成岩及交代作用影响,样品较完整地保存了物源和风化作用信息。K2O、Rb、Al2O3 /TiO2含量较高及Eu负异常指示其母岩为偏酸性的长英质岩、花岗岩类,推测主要来自康滇古陆新元古代早期地台盖层。ICV值大于1,CIA平均值为66,Th/U与地壳UCC值相近,Rb/Sr值明显低于PAAS,指示其物源为近源初次旋回的快速沉积产物,受化学风化作用较小,沉积环境为干燥、寒冷环境。La/Yb、LREE/HREE及Sc/Cr等值均与被动大陆边缘值相近,结合Sc/Cr—La/Y等判别图解,说明研究区沉积构造背景主要为被动大陆边缘。  相似文献   

榍石LA-ICP-MS U-Pb定年中元素分馏的影响及校正研究     

靳梦琪  李艳广  王鹏  汪双双  黎卫亮 《岩矿测试》2020,39(2):274-284

同位素地质年代学是探索地质体时空演化及地球动力学等问题的基础学科,应用最为广泛的当属含铀副矿物的U-Pb定年技术。榍石具有相对较低的U-Pb体系封闭温度,并广泛发育于岩浆岩、各类变质岩、热液成因岩石以及少量沉积岩中,是一种理想的中高温地质事件定年矿物。利用电感耦合等离子体质谱法(ICP-MS)测定榍石U-Pb年龄时,不可避免地要解决高普通铅以及元素分馏效应对测试的影响。本文对榍石LA-ICP-MS实验过程中的元素分馏行为进行研究,采用相同基体的标准样品与未知样品对比,发现了榍石不同颗粒之间元素分馏行为不一致的现象;同时采用不同的元素分馏校正方法,分别应用于锆石、独居石和榍石进行对比研究,认为分馏行为一致的副矿物定年可以采用"指数法"和"均值法"对数据进行校正,但是对于榍石这种分馏行为不一致的副矿物,定年时只有采用"截距法"对数据进行校正才可以获得正确的年龄。进而将此结论应用于秦岭造山带老牛山地区岩浆成因榍石样品,得到的结果与锆石年龄一致,表明"截距法"可以避免分馏行为不一致导致的校正不准确的问题。本研究成果为榍石LA-ICP-MS U-Pb定年方法的完善提供了一种思路。  相似文献   

A continuum model of layered rock masses with non-associative joint plasticity     

D. P. Adhikary  A. V. Dyskin 《国际地质力学数值与分析法杂志》1998,22(4):245-261

Layered rock masses can be modelled either as standard, orthotropic continua if the layer bending can be neglected or as Cosserat continua if the influence of layer bending is essential. This paper presents a finite element smeared joint model based on the Cosserat theory. The layers are assumed to be elastic with equal thickness and equal mechanical properties. All the cosserat parameters are expressed through the elastic properties of layers, layer thickness and joint stiffness. Plastic-slip as well as tensile-opening of layer interface (joint) are accounted for in a manner similar to the conventional non-associative plasticity theory. As an application, the behaviour of an excavation in a layered rock mass is examined. The displacement and stress fields given by smeared joint models based on the Cosserat continuum and the conventional anisotropic continuum approaches are compared with those obtained from the discrete joint model. The conventional anisotropic continuum model is found to break-down completely when the effective shear modulus in the direction parallel to layering is low in comparison to the shear modulus of the intact layer, whereas the Cosserat model is found to be capable of accurately reproducing complex load–deflection patterns irrespective of the differences in shear moduli. © 1998 John Wiley & Sons, Ltd.  相似文献   

The complex one-sided integrals of Cauchy and Hadamard and application to boundary element method     

S. G. Mogilevskaya 《国际地质力学数值与分析法杂志》1998,22(12):947-968

The definitions of complex integrals of Cauchy and Hadamard with the singular point coinciding with the end point of the integration curve are proposed. It is shown that the new integrals satisfy most of the properties of the regular ones, including the change of variables. It is also shown that the Cauchy principal value (CPV) and Hadamard finite-part (HFP) integrals can be considered as a sum of the new type integrals. The application to numerical solution by the boundary element method (BEM) and the complex hypersingular integral equation (CHSIE) for the multiregions of interacting elastic bodies and bodies with cracks and holes is discussed. The different ways to place the collocation points are considered. The numerical results for the problems of circular hole and circular elastic inclusion in infinite plate indicated that the appropriate choice of the approximating functions leads to a high accuracy of the calculation. Applications of the new technique to geomechanics problems are discussed. © 1998 John Wiley & Sons, Ltd.  相似文献   

数字地图图像的基本形态学变换和结构元素的分解     

翟京生  王家耀 《测绘学院学报》1993,(4)

本文是作者关于“数学形态学与数字地图图像的分析和识别”研究成果的一部分。文章提出了地图图形的集合概念和地图图像形态分析的基元确定原则,证明了结构元素的基元最小分解定理;同时,介绍了基本的形态学变换,统一并扩展了带约束条件的数学形态学变换模型;从而,奠定了数字地图图像分析和识别的数学基础。  相似文献   

Analysis of settlement and lateral deformation of soft clay foundation beneath two full-scale embankments     

B. Indraratna  A. S. Balasubramaniam  N. Sivaneswaran 《国际地质力学数值与分析法杂志》1997,21(9):599-618

In 1986, the Malaysian Highway Authority constructed a series of trial embankments on the Muar Plain (soft marine clay) with the aim of evaluating the effectiveness of various ground improvement techniques. This study investigates the effect of two such ground improvement schemes: (a) preloading of foundation with surface geogrids and synthetic vertical drains and (b) sand compaction piles. The paper is focused on the finite element analysis of settlements and lateral displacements of the soft foundation. In scheme (a), the numerical predictions are compared with the field measurements. In scheme (b), only the numerical analysis is presented and discussed in the absence of reliable measurements due to the malfunctioning of the electronic extensometer and inclinometer system during embankment construction. The current analysis employs critical state soil mechanics, and the deformations are predicted on the basis of the fully coupled (Biot) consolidation model. The vertical drain pattern is converted to equivalent drain walls to enable plane strain modelling, and the geogrids are simulated by linear interface slip elements. The effect of sand compaction piles is investigated considering both ideal drains and non-ideal drains, as well as varying the pile stiffness. © 1997 by John Wiley & Sons, Ltd.  相似文献   

Elastoplastic deformation around underground openings under biaxial initial stress field     

Yuzo Obara  Katsuhiko Sugawara 《国际地质力学数值与分析法杂志》1997,21(10):721-737

Estimation of elastoplastic deformation around an underground opening induced by the excavation of it, especially displacement and strain field in plastic region, is presented in this paper, as well as the formulation for calculating the displacement and strain in the plastic region around the underground opening by the coupled Boundary Element Method - Characteristics Method (BEM-CM). In this method, the non-associated flow rule is adopted to calculate the displacement and strain field in the plastic region, which is determined by the integration of the displacement along characteristics lines under the boundary condition of the elastic displacement on an elastoplastic interface analysed. It is shown that this method is one of the accurate and effective methods for estimating not only the shape and extent of the plastic region but also the state of the displacement and strain in the plastic region around the underground opening, comparing the theoretical solution with numerical results by this method for a circular opening under hydrostatic initial stress condition. Furthermore, this method is applied to rectangular and horse-shoe shaped openings and the characteristics of the strain field in the plastic region are discussed. © 1997 by John Wiley & Sons, Ltd.  相似文献   

TWO-PHASE OIL MIGRATION IN COMPACTING SEDIMENTARY BASINS MODELLED BY THE FINITE ELEMENT METHOD     

Magnus Wangen 《国际地质力学数值与分析法杂志》1997,21(2):91-120

The upstream-weighted finite element method with lumped mass matrix is applied to the modelling of oil migration in compacting sedimentary basins. An implicit formulation is made in Lagrangian co-ordinates of a pressure, saturation and a temperature equation, which is based on immiscible two-phase flow of oil and water. The formulation accounts for the compaction of the sediments, the generation of oil from solid organic material (kerogen), the eventual pore space generated by kerogen breakdown, and the density variations of the fluids which may set up thermal convection. The model is validated by comparison with results from a one-dimensional (1D) fractional flow-based migration model. A 2D case example showing oil expulsion from source rocks, and the filling of a trap is presented. The mass balance of the model is easily checked because all oil in the basin originates from breakdown of kerogen. Compared with other alternatives, the simple upstream-weighted finite element method is suggested as a possible first choice for a numerical method for the modelling of oil migration in compacting sedimentary basins. It easily deals with the complex geometry of a basin, it yields reasonably good results, is simple to implement, and the same implementation applies to all spatial dimensions. © 1997 by John Wiley & Sons, Ltd.  相似文献   

Mathematica软件在计算有限单元法系数矩阵中的应用     

欧东新  王家林 《上海国土资源》2005,(3):55-57

以一维分层连续介质大地电磁有限元模拟为例,应用Mathematica软件计算系数矩阵。节约了大量的推导时间。确保快速、准确地得到有限元系数矩阵。展示了mathematica软件在计算有限单元系数矩阵中的强大功能。  相似文献