土层分层参数不确定时对二维工程场址地震动影响分析

工程场地地震安全性评价中计算二维复杂场地地震反应分析时,如采用一维等效线性化分析模型会带来较大的误差,而直接采用二维的非线性模型在技术上还存在一定的困难和不合理性。目前工程中多采用对一维分析结果进行二维修正的思想给出设计地震动及反应谱。然而在建立二维分析模型时,由于勘测条件的限制使模型建立出现很多不确定性。基于以往提出的二维复杂工程场址设计地震动的修正分析思想,建立了几种可能且工程认可的二维复杂场地模型,主要研究不同分层特征模型及土层剪切波速这一物理参数不确定时对设计地震动的影响,进一步考虑不同场地类别下,不同二维分层模型及土体物理参数对地震动的影响。根据分析结果提出了不同类别场地下,方便且合理建立二维复杂场地地震动分析模型的方法,为实际工程中模型的建立及参数的选取提供一些参考。     

水库触发地震研究中二维与三维有限元模拟结果比较

紫坪铺水库蓄水载荷引起的库仑应力变化以及是否可以触发汶川M_S8.0地震是地学界关注的一个热点问题。 已有较多研究均建立在二维有限元模拟基础上, 然而二维与三维结果存在较大差异, 本文定量给出了该差异的大小。 首先比较了有限元方法与解析方法求解半无限空间点载荷下弹性问题结果, 确认了三维有限元计算在百万网格下具有足够的计算精度; 然后数值计算并比较了二维、 三维模型中紫坪埔水库蓄水的弹性力学及渗流效应。 结果表明, 总体上弹性加载会造成逆断层更趋安全, 而水压渗透使其趋于危险, 两者叠加仍然没有导致增加汶川地震危险性; 但现有的二维有限元模拟夸大了真实结果, 在汶川震源位置三维计算的应力大小仅为二维计算的1/3到1/4, 因此在严格的讨论中必须使用三维建模。     

基于CHAMP卫星与三维Taylor多项式模型的区域地磁建模研究

利用CHAMP卫星矢量和标量地磁测量数据,通过三维Taylor多项式模型建立了2010.0年中国及邻近地区在300km高度附近的X、Y、Z和F分量的三维磁场模型.为了比较验证所建模型,分析了其与Taylor多项式模型(二维模型)不同截断阶数所对应的均方偏差(RMSE)、残差及分布等.结果表明,三维模型每一阶的RMSE和残差绝对值的平均值均要比二维模型的小约45%.由于采用了系数完全展开的建模方式,三维模型的系数数量约为二维模型的2倍,三维模型较低的截断阶数可以反映更多的地磁信息.本研究中的5阶三维Taylor模型基本可达到8阶Taylor模型的精度.两种模型绘制的地磁场及残差分布有较好的一致性.     

多方位拟3D电法技术在古墓葬探测中的应用

2D高密度电法在古墓葬勘探中应用较多,但二维剖面解释局限性愈发突出。以2D平行或等角度放射状测线为基础的拟3D高密度电法能够一定程度上给出三维信息,但对地表条件要求较高,灵活性稍差。3D高密度电法能够给出详细的3D探测信息,但施工效率偏低,且难以适应复杂地表环境。为解决复杂地表环境古墓葬探测问题,提出了一种多方位拟3D高密度电法技术,并在一个位于密集竹林中的大型古墓葬调查中进行了应用研究。结合地表条件布设多个方位的2D高密度电法测线,将多个方位的2D反演数据合并为拟3D数据体,进行可视化解释获得了内部结构的3D信息。结果表明,该技术能够适应复杂环境,拟三维数据不仅能补充二维解释缺失的信息,且与钻探结果基本吻合。      

Site effects in 3D basins using 1D and 2D models: an evaluation of the differences based on simulations of the seismic response of Euroseistest

Site effects are one of the most predictable factors of destructive earthquake ground motion but results depend on the type of model chosen. We compare simulations of ground motion for a 3D model of the Mygdonian basin in northern Greece (Euroseistest) using different approximation for this basin. Site effects predicted using simple 1D models at many points inside the basin are compared to site effects predicted using four different 2D cross sections across the basin and with results for a full 3D simulation. Surface topography was neglected but anelastic attenuation was included in the simulations. We show that lateral heterogeneity may increase ground motion amplification by 100 %. Larger amplification is distributed in a wide frequency range, and amplification may occur at frequencies different from the expected resonant frequencies for the soil column. In contrast, on a different cross section, smaller conversion of incident energy into surface waves and larger dispersion leads to similar amplitudes of ground motion for 2D and 1D models. In general, results from 2D simulations are similar to those from a complete 3D model. 2D models may overestimate local surface wave amplitudes, especially when the boundaries of the basin are oblique to the selected cross section. However, the differences between 2D and 3D site effects are small, especially in regard of the difficulties and uncertainties associated to building a reliable 3D model for a large basin.     

3D Modelling of the electromagnetic response of geophysical targets using the FDTD method1

A publicly available and maintained electromagnetic finite-difference time domain (FDTD) code has been applied to the forward modelling of the response of 1D, 2D and 3D geophysical targets to a vertical magnetic dipole excitation. The FDTD method is used to analyse target responses in the 1 MHz to 100MHz range, where either conduction or displacement currents may have the controlling role. The response of the geophysical target to the excitation is presented as changes in the magnetic field ellipticity. The results of the FDTD code compare favourably with previously published integral equation solutions of the response of 1D targets, and FDTD models calculated with different finite-difference cell sizes are compared to find the effect of model discretization on the solution. The discretization errors, calculated as absolute error in ellipticity, are presented for the different ground geometry models considered, and are, for the most part, below 10% of the integral equation solutions. Finally, the FDTD code is used to calculate the magnetic ellipticity response of a 2D survey and a 3D sounding of complicated geophysical targets. The response of these 2D and 3D targets are too complicated to be verified with integral equation solutions, but show the proper low- and high-frequency responses.     

三维/三维构造下大地电磁相位张量数值模拟

当地表存在三维非均匀电导率分布时,区域大地电磁响应发生畸变. 以往对这种畸变研究多假设近地表为三维,区域构造为一维或二维. 对于更一般的三维/三维构造,为了分析并消除这种畸变影响,真实反映地下三维区域构造信息,本文实现了三维大地电磁相位张量积分方程数值算法,并研究在不同地质模型下相位张量响应. 结果表明,相位张量不仅可以反映一般三维构造信息,亦可有效反映复杂近地表构造下三维区域构造信息,而无须假设区域构造为一维或二维,证明相位张量具有较强抗近地表局部非均匀构造干扰能力,能够保持更为一般的三维区域构造信息. 为了加快正演计算,同时保持一定精度,算法采用了积分方程多网格法.     

Three-dimensional flow in the storative semiconfining layers of a leaky aquifer

An analytical solution for three-dimensional (3D) flow in the storative semiconfining layers of a leaky aquifer fully penetrated by a production well is developed in this article to provide a method from which accurate hydraulic parameters in the semiconfining layers can be derived from aquifer test data. The analysis of synthetic aquifer test data with the 3D analytical solution in the semiconfining layers provided more accurate optimal hydraulic parameters than those derived using the available quasi-two-dimensional (2D) solution. Differences between the 3D and 2D flow solutions in the semiconfining layers become larger when a no flow boundary condition is imposed at either at the top of the upper semiconfining layer or at the bottom of the lower semiconfining layer or when the hydraulic conductivity ratio of the semiconfining layer to the aquifer is larger than 0.001. In addition, differences between the 3D and 2D flow solutions in the semiconfining layers are illustrated when the thickness ratio of the semiconfining layer to the aquifer is changed. Analysis of water level data from two hypothetical and one real aquifer test showed that the 3D solution in the semiconfining layers provides lower correlation coefficients among hydraulic parameters than the 2D solution.     

On the form of the momentum equation for shallow water models based on the generalized wave continuity equation

Nearly all generalized wave continuity (GWC)-based models utilize the velocity-based, non-conservative form of the momentum equation to obtain the depth-averaged changes in velocity. It has been hypothesized that a flux-based, conservative form of the momentum equation may improve accuracy and stability. Herein, we study the impact of the choice of dependent variable and form of the momentum equation in a GWC-based finite element shallow water model. The impact of this change on mass balance, stability, and accuracy (spatial and temporal) is rigorously assessed, first for 1D barotropic flows and then for 2D barotropic flows in a variety of basins. Both 1D and 2D results indicate that the conservative form improves mass balance on both global and local scales, with the most significant gains found in local mass balance in areas with steep bathymetry gradients. This is also the region where the conservative form shows an increase in local spatial accuracy. Taylor series analysis and numerical simulations indicate a strong correlation between local spatial truncation errors and local mass balance errors. Stability, temporal accuracy and global spatial accuracy do not show statistically significant changes between the two algorithms in both 1D and 2D studies.     

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

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.     

On the Locality of Transient Electromagnetic Soundings with a Single-Loop Configuration

The possibilities of reconstructing two-dimensional (2D) cross sections based on the data of the profile soundings by the transient electromagnetic method (TEM) with a single ungrounded loop are illustrated on three-dimensional (3D) models. The process of reconstruction includes three main steps: transformation of the responses in the depth dependence of resistivity ρ(h) measured along the profile, with their subsequent stitching into the 2D pseudo section; point-by-point one-dimensional (1D) inversion of the responses with the starting model constructed based on the transformations; and correction of the 2D cross section with the use of 2.5-dimensional (2.5D) block inversion. It is shown that single-loop TEM soundings allow studying the geological media within a local domain the lateral dimensions of which are commensurate with the depth of the investigation. The structure of the medium beyond this domain insignificantly affects the sounding results. This locality enables the TEM to reconstruct the geoelectrical structure of the medium from the 2D cross sections with the minimal distortions caused by the lack of information beyond the profile of the transient response measurements.     

三维波动方程基准面校正方法的应用研究

波动方程基准面校正处理被认为是当地表高程变化剧烈、地表一致性假设又不成立的情况下对于常规高程基准面校正的必要替代. 在二维波动方程基准面校正方面,前人已经作了大量工作,并且在实际应用中获得了良好的效果,应该将其进一步推广到三维. 本文采用三维频率空间域有限差分波场延拓算子以“逐步－累加”的方式实现了三维波动方程基准面校正,并对实际数据进行了处理. 对于西部某三维数据的实际计算结果表明,相对于传统的模型法高程静校正,波动方程基准面校正更合理地实现了基准面校正,有助于提高后续的速度分析精度和成像质量.     

Crooked line, rough topography: advancing towards the correct seismic image

Seismic exploration in mountainous areas imposes serious compromises on both acquisition and processing. Access restrictions usually result in profiles that are not straight and are not recorded along the true dip direction (if there is a true dip direction!). Processing constraints often result in very poor approximate corrections for elevations and for deviations from a straight line. Most fundamentally, 2D acquisition and processing assumes that the earth is 2D; this assumption is often seriously violated in mountainous areas. While we cannot efficiently correct 2D seismic data for the effects of a fully 3D subsurface, we can improve the data quality in thrust areas where the assumption of 2D subsurface variation is reasonable. We do this in a series of small steps, which improves the accuracy of several approximations made in processing 2D land data.     

Tectono-metamorphic history of the Tacagua ophiolitic unit (Cordillera de la Costa, northern Venezuela): Insights in the evolution of the southern margin of the Caribbean Plate

Abstract   The southern margin of the Caribbean Plate is well exposed in the Cordillera de la Costa of northern Venezuela, where amalgamated terranes consisting of continental and oceanic units occur. In the Cordillera de la Costa, metamorphosed oceanic units crop out along the coast near Caracas. Among them, the Tacagua unit is characterized by metaserpentinites and metabasites showing mid-oceanic ridge basalt geochemical affinity. These lithologies, representative of a disrupted ophiolite sequence, are associated with metasediments consisting of calcschists alternating with pelitic and psammitic schists, whose protoliths were probably represented by deep-sea hemipelagic and turbiditic deposits. In the Tacagua unit, a polyphase deformation history has been reconstructed, consisting of four folding phases from D1 to D4 . Geological setting suggests an involvement of the Tacagua unit in the processes connected with a subduction zone. The following deformations (from D2 to D4 ) observed in the field might be related to the exhumation history of the Tacagua unit. The late deformation history consists of an alternation of deformation phases characterized by displacement parallel ( D2 and D4 phases) and normal ( D3 phase) to plate boundary between the Caribbean and South America Plates. All lines of geological evidence suggest that the whole evolution of the Tacagua unit was acquired in a setting dominated by oblique convergence, in which alternation of strike-slip and pure compressional or pure extensional tectonics occurred through time.     

Tectono-metamorphic evolution of the Cretaceous Shimanto accretionary complex, central Japan: Constraints from a fluid inclusion analysis of syn-tectonic veins

Abstract   Micro-thermometry of water-rich fluid inclusions from two syn-tectonic veins sets ( D1 and D2 veins) in the Otaki Group, part of the Cretaceous Shimanto accretionary complex of the Kanto Mountains, central Japan reveals the following tectono-metamorphic evolution. Combining the results of microthermometric analyses of fluid inclusions from D1 veins with an assumed geothermal gradient of 20–50°C/km indicates that the temperature and fluid pressure conditions during D1 were 270–300°C and 140–190 MPa, respectively. Peak metamorphic conditions during the development of D2 slaty cleavage involved temperatures in excess of 300°C and fluid pressures greater than 270 MPa, based on analyses of microthermometry of water-rich fluid inclusions from the D2 vein and illite crystallinity. The estimated fluid pressure increased by approximately 80 MPa from D1 accretionary processes to metamorphism and slaty cleavage development during D2 . Assuming that fluid pressure reached lithostatic pressure, the observed increase in fluid pressure can be accounted for by thrusting of the Jurassic Chichibu accretionary complex over the Cretaceous Shimanto accretionary complex. Following thrusting, both accretionary complexes were subjected to metamorphism during the latest Cretaceous.     

Assessment of critical path analyses of the relationship between permeability and electrical conductivity of pore networks

Critical path analysis (CPA) is a method for estimating macroscopic transport coefficients of heterogeneous materials that are highly disordered at the micro-scale. Developed originally to model conduction in semiconductors, numerous researchers have noted that CPA might also have relevance to flow and transport processes in porous media. However, the results of several numerical investigations of critical path analysis on pore network models raise questions about the applicability of CPA to porous media. Among other things, these studies found that (i) in well-connected 3D networks, CPA predictions were inaccurate and became worse when heterogeneity was increased; and (ii) CPA could not fully explain the transport properties of 2D networks. To better understand the applicability of CPA to porous media, we made numerical computations of permeability and electrical conductivity on 2D and 3D networks with differing pore-size distributions and geometries. A new CPA model for the relationship between the permeability and electrical conductivity was found to be in good agreement with numerical data, and to be a significant improvement over a classical CPA model. In sufficiently disordered 3D networks, the new CPA prediction was within ±20% of the true value, and was nearly optimal in terms of minimizing the squared prediction errors across differing network configurations. The agreement of CPA predictions with 2D network computations was similarly good, although 2D networks are in general not well-suited for evaluating CPA. Numerical transport coefficients derived for regular 3D networks of slit-shaped pores were found to be in better agreement with experimental data from rock samples than were coefficients derived for networks of cylindrical pores.     

广东省阳江抽水蓄能电站二维工程场址对设计地震动的影响分析

以广东阳江蓄能电站为例,通过建立可考虑二维复杂工程场地影响的显式有限元结合人工边界的计算模型,给出了二维复杂场地条件对该场地条件一维等效线性化结果的修正值。该分析模型除可以充分考虑二维复杂场地条件、计算效率非线性对场地的影响及吸能边界等多种因素外,还具有计算简单,结果合理等优点。     

海洋CSEM的共中心点域快速反演

海洋可控源电磁法(CSEM)对海底高阻体的反映比较灵敏,可用于天然气水合物探测资料的定性解释和反演研究.海洋CSEM资料的共中心点(CMP)域转换方式,可在横向上较好地分辨高阻储层.本文提出在CMP域实现一维频率域海洋可控源电磁资料高斯-牛顿反演算法.鉴于一维反演是解释地球物理资料的基础,较于二维和三维反演方法有着更高的计算效率和更低的硬件要求,将二维模型的响应在CMP域单元内表达为一维模型的响应,进而运用一维高斯-牛顿反演解释二维海洋CSEM资料.模型数据试算表明,海洋CSEM的CMP域反演速度较快,能够实现二维CSEM资料的反演解释.     

The effects of reservoir geometry on the seismic response of gravity dams

Conventional seismic analysis of gravity dams assumes that the behaviour of the dam–water–soil system can be represented using a 2‐D model since dam vertical contraction joints between blocks allow them to vibrate independently from each other. The 2‐D model assumes the reservoir to be infinite and of constant width, which is not true for certain types of reservoirs. In this paper, a boundary element method (BEM) model in the frequency domain is used to investigate the influence of the reservoir geometry on the hydrodynamic dam response. Important conceptual conclusions about the dam–reservoir system behaviour are obtained using this model. The results show that the reservoir shape influences the seismic response of the dam, making it necessary to account for 3‐D effects in order to obtain accurate results. In particular, the 3‐D pressure and displacement responses can be substantially larger than those computed with the 2‐D model. Copyright © 2007 John Wiley & Sons, Ltd.     

Evaluation of the Titan2D two-phase flow model using an actual event: Case study of the 2005 Vazcún Valley Lahar

Titan2D is a depth-averaged, thin-layer computational fluid dynamics (CFD) code, suitable for simulating a variety of geophysical mass flows. Titan2D output data include flow thickness and flow momentum at each time step for all cells traversed by the flow during the simulation. From this information the flow limit, run-out path, flow velocity, deposit thickness, and travel time can be calculated. Results can be visualized in the open-source GRASS GIS software or with the built-in Titan2D viewer. A new two-phase Titan2D version allows simulation of flows containing various mixtures of water and solids. The purpose of this study is to compare simulations by the two-phase flow version of Titan2D with an actual event. The chosen natural flow is a small ash-rich lahar (volume 50,000 m³–70,000 m³) that occurred on 12 February 2005 in the Vazcún Valley, located on the north-east flank of Volcán Tungurahua, Ecuador. Lahars and pyroclastic flows along this valley could potentially threaten the 20,000 inhabitants living in and near the city of Baños. A variety of data sources exist for this lahar, including: post-event meter-scale topography, and photographic, video, seismic and acoustic flow monitoring (AFM) records from during the event. These data permit detailed comparisons between the dynamics of the actual lahar and those of the Titan2D simulated flow. In particular, detailed comparisons are made between run-up heights, flow velocity, inundation area, and flow thickness. Simulations utilize a variety of data derived from field observations such as lahar volume, solid to pore-fluid ratio and pre-event topography. Titan2D is important in modeling lahars because it allows assessment of the impact of the flows on buildings and infrastructure lifelines located near drainages that descend from volcanoes.