共查询到20条相似文献，搜索用时 31 毫秒
1.
The free oscillations of an anelastic aspherical earth 总被引：1，自引：0，他引：1
F. A. Dahlen 《Geophysical Journal International》1981,66(1):1-22
Summary. Some century-old results, due to Rayleigh and Routh, have been adapted to investigate the normal mode eigenfrequencies and eigenfunctions of an earth with laterally variable anelasticity and to determine the transient response of such an earth to earthquakes. Using degenerate perturbation theory, the eigenfrequencies are found to first order and the associated eigenfunctions to zeroth order in the small deviations of the Earth away from a spherical perfectly elastic reference earth model. Both the eigenfrequencies and the eigenfunctions are complex and, in addition, the latter are not mutually orthogonal, reflecting the non-Hermitian character of the normal mode eigenvalue problem. The effect of laterally heterogeneous attenuation on the shape of an unresolved multiplet spectrum has been investigated in the surface-wave geometrical-optics limit. Singlet cancellation leads in that limit to the appearance of a single resonance peak whose decay rate or apparent Q −1 depends only on the average attenuation structure underlying the source—receiver great-circle path. 相似文献
2.
TERRY COPPOCK ERIC ANDERSON 《International journal of geographical information science》2013,27(2):99-100
This paper addresses the problems associated with the integration of data between incongruent boundary systems. Currently, the majority of spatial boundaries are designed in an uncoordinated manner with individual organizations generating individual boundaries to meet individual needs. As a result, current technologies for analysing geospatial information, such as geographical information systems (GISs), are not reaching their full potential. In response to the problem of uncoordinated boundaries, the authors present an algorithm for the hierarchical structuring of administrative boundaries. This algorithm applies hierarchical spatial reasoning (HSR) theory to the automated structuring of polygons. In turn, these structured boundary systems facilitate accurate data integration and analysis whilst meeting the spatial requirements of selected agencies. The algorithm is presented in two parts. The first part outlines previous research undertaken by the authors into the delineation of administrative boundaries in metropolitan regions. The second part outlines the distinctly different constraints required for administrative-boundary design in rural areas. The development of the algorithm has taken place in a GIS environment utilizing Avenue, an object-orientated programming language that operates under ArcView, the desktop software developed and distributed by ESRI. 相似文献
3.
This paper extends our earlier examinations of the utility of various approximations for treating the dynamics of the Earth's liquid core on time-scales of the order of 104 to 108 s. We discuss the effects of representing the response of the mantle and inner core by static (versus dynamic) Love numbers, and of invoking the subseismic approximation for treating core flow, used either only in the interior of the liquid core (SSA-1) or also at the boundaries (SSA-2). The success of each approximation (or combinations thereof) is measured by comparing the resulting surface gravity effects (computed for a given earthquake excitation), and (for the Slichter mode) the distribution of translational momentum, with reference calculations in which none of these approximations is made. We conclude that for calculations of the Slichter triplet, none of the approximations is satisfactory, i.e. a full solution (using dynamic Love numbers at elastic boundaries and no core flow approximation) is required in order to avoid spurious eigenfrequencies and to yield correct eigenfunctions (e.g. conserving translational momentum) and surface gravity. For core undertones, the use of static Love numbers at rigid boundaries is acceptable, along with SSA-1 (i.e. provided the subseismic approximation is not invoked at the core boundaries). Although the calculations presented here are for a non-rotating earth model, we argue that the principal conclusions should be applicable to the rotating Earth. Shortcomings of the subseismic approximation appear to arise because both SSA-1 and SSA-2 lower the order of the governing system of differential equations (giving rise to a singular perturbation problem), and because SSA-2 overdetermines the boundary conditions (making it impossible for solutions to satisfy all continuity requirements at core boundaries). 相似文献
4.
Kiyoshi Yomogida 《Geophysical Journal International》1985,82(3):511-533
Summary. Asymptotic ray theory is applied to surface waves in a medium where the lateral variations of structure are very smooth. Using ray-centred coordinates, parabolic equations are obtained for lateral variations while vertical structural variations at a given point are specified by eigenfunctions of normal mode theory as for the laterally homogeneous case. Final results on wavefields close to a ray can be expressed by formulations similar to those for elastic body waves in 2-D laterally heterogeneous media, except that the vertical dependence is described by eigenfunctions of 'local' Love or Rayleigh waves. The transport equation is written in terms of geometrical-ray spreading, group velocity and an energy integral. For the horizontal components there are both principal and additional components to describe the curvature of rays along the surface, as in the case of elastic body waves. The vertical component is decoupled from the horizontal components. With complex parameters the solutions for the dynamic ray tracing system correspond to Gaussian beams: the amplitude distribution is bell-shaped along the direction perpendicular to the ray and the solution is regular everywhere, even at caustics. Most of the characteristics of Gaussian beams for 2-D elastic body waves are also applicable to the surface wave case. At each frequency the solution may be regarded as a set of eigenfunctions propagating over a 2-D surface according to the phase velocity mapping. 相似文献
5.
Summary. We give a systematic formulation and a rigorous justification of a perturbation technique for the computation of the eigenvalues and eigenfunctions of Love waves (and toroidal oscillations by an appropriate change for variables) in an anelastic medium with a constitutive law modelling geophysical media of current interest such as the Kelvin—Voigt Solid, the Maxwell Solid, the Standard Linear Solid, and the Standard Linear Solid with a continuous spectrum of relaxation times. We develop expressions relating the eigenvalues of eigenfunctions for Love waves in a continuously varying vertically stratified anelastic half-space to the corresponding elastic eigenvalues and eigenfunctions. Analytically, our correspondence principle has the form of a regular perturbation expansion in terms of a parameter for both the eigenvalues and eigenfunctions. The identification of ɛ is motivated by the dissipativity principle of viscoelasticity theory. Moreover, we show that our correspondence principle applies respectively only in the high and low frequency range for the Maxwell and Kelvin—Voigt Solids. Outside of the applicable range of frequencies, our correspondence principle yields no useful information. For the family of Standard Linear Solids it is uniformly applicable for all non-zero frequencies.
We also derive an explicit formula to estimate the radius of convergence of our perturbation expansions. This estimate of the radius of convergence for each eigenvalue and eigenfunction is functionally defined by the constitutive model for the anelastic medium. The estimate is frequency dependent and depends on the separation distance between the eigenvalue and the remainder of the spectrum of the corresponding elastic problem. 相似文献
We also derive an explicit formula to estimate the radius of convergence of our perturbation expansions. This estimate of the radius of convergence for each eigenvalue and eigenfunction is functionally defined by the constitutive model for the anelastic medium. The estimate is frequency dependent and depends on the separation distance between the eigenvalue and the remainder of the spectrum of the corresponding elastic problem. 相似文献
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7.
基于POI与NPP/VIIRS灯光数据的城市群边界定量识别 总被引：3，自引：2，他引：1
科学识别城市群边界是城市群精明紧凑发展的关键,也是国家空间治理体系与空间治理能力的重要标志。论文以京津冀、长三角和珠三角3大城市群为研究区域,采用NPP/VIIRS(Suomi National Polar-orbiting Partnership / Visible Infrared Imaging Radiometer Suite)夜间灯光影像与POI(Point of Interest)数据,基于密度的曲线阈值法与分形网络演化算法,对3个城市群的实际物理边界和集聚空间范围进行精准识别与空间特征解析。研究结果表明：① 基于POI密度的曲线阈值法与NPP/VIIRS分形网络演化算法识别出城市群边界均小于国家城市群规划的行政边界,识别范围约占规划范围的20.90%~24.40%,识别结果显示3大城市群中长三角城市群发育最好,识别的城市群面积是京津冀和珠三角城市群的2倍左右;② 从POI与NPP/VIIRS灯光数据提取的城市群边界面积非常接近,其中POI数据提取的城市群面积偏大,更大程度上反映的是城市群整体边界轮廓而非内部细节;NPP/VIIRS影像提取的城市群更细碎,能更好地识别城市群聚集中心与关键核心区域,2种方法可以相互比较和验证;③ POI与灯光数据识别的城市群边界叠置分析发现,3大城市群中除了关键核心地带(集聚区)以外,外围还有众多孤立的点状区域(中小城镇),外围的点状区域与城市群集聚中心区空间割裂,一定程度上很难快速有效地接受来自城市群核心区域的辐射带动(涓滴效应)。 相似文献
8.
大尺度分布式水文模型数字流域提取方法研究 总被引：11，自引：1，他引：10
构建大尺度分布式水文模型是当前大气水文模型耦合研究的一项重要内容。本文介绍一 种根据1km DEM 生成更大网格尺度DEM 数据, 同时可以保持流域河网信息并减缓高程、坡度 等地貌参数信息量衰减速度的有效方法———ZB算法。利用该方法和常规的网格平均法生成黄河 唐乃亥以上流域的5km、10km、15km 和20km 两套DEM 数据, 分别提取高程、坡度、地形指数、河 网密度、主河道长度、流域面积等流域特征参数, 并与1km DEM 提取的上述参数进行比较, 对两 种方法作出评价。结果显示, 随着网格尺度的增大, ZB 算法获得的DEM 数据可以保持河网的连 续性, 提取出合理的流域范围, 减缓地形信息量的衰减速度。该方法满足构建大尺度分布式水文 模型提取数字流域的需要。 相似文献
9.
Summary. Seismic investigations using shear-wave and converted wave techniques show that very often reflected PS - and SS -waves have anomalous polarizations ( accessory components ). This phenomenon cannot be explained in terms of isotropic models with dipping boundaries. Computations of synthetic seismograms of reflected PS - and SS -waves were made for different models of transversely isotropic media with dipping anisotropic symmetry axes not normal to the boundaries. Synthetic seismograms were computed by ray techniques using an optimization algorithm to construct all rays arriving at a given receiver. These computations indicate that accessory components arise when the medium above the boundary is anisotropic, where they are caused by the constructive interference of qSV - and qSH -waves. If a low-velocity layer is present, displacement vectors of both waves have horizontal projections which are approximately orthogonal. The algorithm for wave separation is presented and some results of its use are given. 相似文献
10.
Summary. Models of shallow, global mantle circulation due to the accretion and subduction of lithospheric plates are formulated as potential theory problems on a sphere. Subducting and accreting plate boundaries represent sources and sinks respectively for the sublithospheric flow. Solutions, which are obtained by finite difference approximations, give the instantaneous flow velocities within the asthenosphere compatible with plate boundaries and relative plate motions. Results are presented for present-day plate boundaries and relative plate motions for the case of a uniform viscosity asthenosphere and for that of a low viscosity zone at the base of the lithosphere. These results are discussed in terms of available geophysical data. Some of the implications of a shallow, mantle-wide circulation are also considered. 相似文献
11.
The formation of narrow, rapidly deforming plate boundaries separating strong plate interiors are integral components of the generation of plate tectonics from mantle convection. The development of narrow plate boundaries requires the interaction of a non-linear rheology and convection. One such non-linear rheology is two-phase damage theory which employs a non-equilibrium relation between interfacial surface energy, pressure and viscous deformation, thereby forming a theoretical model for void generation. Two-phase damage theory was recently extended to allow for deformational work to increase the fineness (reduce the grain size) of the matrix phase. We present results testing two-phase damage theory in a 2-D convectively driven system where we allow for (1) pure void-generating damage, (2) pure fineness-generating damage and (3) combined void- and fineness-generating damage. Pure void-generating damage is found to be unsuccessful at producing plate-like features. Fineness-generating damage is successful at inducing plate-like behaviour in certain circumstances, including increasing viscosity sensitivity to fineness and certain regimes of damage input and healing rate. Cases with combined void- and fineness-generating damage produce significantly more localization than the end-members due to the apparent increase of deformational work input into fineness generation. The interaction of microcracks and grain size reduction in two-phase damage theory suggests a rheological model for shear localization necessary for the formation of plate tectonic boundaries. 相似文献
12.
基于GIS的斜坡单元划分方法改进与实现 总被引：5，自引：0，他引：5
斜坡单元已广泛应用于滑坡易发性制图和地质灾害评价。然而在山间盆地或大型宽谷处,常规方法划分出的斜坡单元与地貌背景难以匹配。依据高程及其衍生变量的基本形态系统和曲率的流域分割原理,基于ArcGIS技术,通过叠加曲率和反转曲率的流域边界,改进了斜坡单元划分方法。结果表明：与常规方法相比,改进方法不仅能够使用山脊线和山谷线以划分斜坡单元,还能利用台地边界和宽谷边界以分割水平地表与倾斜地表;划分出的单元大小相对均匀,单元形状总体介于圆形和正三角形之间。对于水平成分较多的地区,如黄土塬区和水库库区,该方法与传统方法相比,具有较好的应用前景。 相似文献
13.
Stefan Maus 《Geophysical Journal International》2000,143(1):274-277
On average, traveltimes of PKPDF for equatorial ray paths through the quasieastern hemisphere of the inner core are around 0.5 s faster than equivalent ray paths through its quasiwestern hemisphere. In these observations, the eastern hemisphere is sampled primarily by westward and the western hemisphere by eastwardpropagating waves. Noting that westward propagation is faster than eastward propagation inside a rotating earth, I estimate the expected traveltime difference from Coriolis splitting of the displacement eigenfunctions of the PKPDF equivalent modes. It turns out that Coriolis effects are too small to give rise to residuals of the required magnitude. Thus, the observations must be primarily due to velocity heterogeneities. 相似文献
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15.
Sunghwan Cho M. Xavier Punithan Jonggun Gim 《International journal of geographical information science》2014,28(12):2533-2550
In spatial data sets, gaps or overlaps among features are frequently found in spatial tessellations due to the non-abutting edges with adjacent features. These non-abutting edges in loose tessellations are also called inconsistent boundaries or slivers; polygons containing at least one inconsistent boundary are called inconsistent polygons or sliver polygons. The existing algorithms to solve topological inconsistencies in sliver polygons suffer from one or more of three major issues, namely determination of tolerances, excessive CPU processing time for large data sets and loss of vertex history. In this article, we introduce a new algorithm that mitigates these three issues. Our algorithm efficiently searches the features with inconsistent polygons in a given spatial data set and logically partitions them among adjacent features. The proposed algorithm employs the constrained Delaunay triangulation technique to generate labelled triangles from which inconsistent polygons with gaps and overlaps are identified using label counts. These inconsistent polygons are then partitioned using the straight skeleton method. Moreover, each of these partitioned gaps or overlaps is distributed among the adjacent features to improve the topological consistency of the spatial data sets. We experimentally verified our algorithm using the real land cadastre data set. The comparison results show that the proposed algorithm is four times faster than the existing algorithm for data sets with 200,000 edges. 相似文献
16.
Modelling landscape evolution on geological time scales: a new method based on irregular spatial discretization 总被引：5，自引：0，他引：5
We present simulations of large-scale landscape evolution on tectonic time scales obtained from a new numerical model which allows for arbitrary spatial discretization. The new method makes use of efficient algorithms from the field of computational geometry to compute the set of natural neighbours of any irregular distribution of points in a plane. The natural neighbours are used to solve geomorphic equations that include erosion/deposition by channelled flow and diffusion. The algorithm has great geometrical flexibility, which makes it possible to solve problems involving complex boundaries, radially symmetrical uplift functions and horizontal tectonic transport across strike-slip faults. The algorithm is also ideally suited for problems which require large variations in spatial discretization and/or self-adaptive meshing. We present a number of examples to illustrate the power of the new approach and its advantages over more 'classical' models based on regular (rectangular) discretization. We also demonstrate that the synthetic river networks and landscapes generated by the model obey the laws of network composition and have scaling properties similar to those of natural landscapes. Finally we explain how orographically controlled precipitation and flexural isostasy may be easily incorporated in the model without sacrificing efficiency.
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17.
基于遥感信息的淹没水深算法研究 总被引：8，自引：0，他引：8
该文针对遥感监测的洪水范围。提出一种实用的洪水淹没水深算法。该算法视淹没区为静态水面分布。将其与DEM叠加。经系列误差处理与优化。得到相对平滑的水陆边界高程。再采用双线性插值计算淹没范围内的水深分布。以广东省北江流域清远地区2002年10月底的一次洪水为例进行验证。结果表明该算法在计算精度和效率方面均能满足实际洪水评估要求。 相似文献
18.
《Geography and Natural Resources》2008,29(1):84-87
We suggest a new approach to mapping of nature management, reflecting the process of interaction of the blocks of the socio-natural system. Our mapping used the algorithm of fuzzy classification to show the spatial position of natural-economic boundaries of nature management in relation to its socio-cultural type. 相似文献
19.
山东省省际边界地区发展研究 总被引：17，自引：0，他引：17
省际边界地区有其自身的发展特点，对于区域的发展起着特殊的作用。文章分析了山东省省际边界地区的特点，并根据康维斯（P.D.Converse)断裂点理论，对山东省及周边中心城市的引力范围进行了计算，比较分析了目前山东省省界城市和省内城市吸引范围及竞争力差异，提出了山东省发展省际边界地区的相应对策。 相似文献