Comparison of Iterative Back-Projection Inversion and Generalized Inversion Without Blocks: Case Studies In Attenuation Tomography     

Phyllis Ho-Liu  Jean-Paul Montagner  Hiroo Kanamori 《Geophysical Journal International》1989,97(1):19-29

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A computerized geologic mapping system based on logical models of geologic structures     

Masanori Sakamoto  Kiyoji Shiono  Shinji Masumoto  Kiyoshi Wadatsumi 《Natural Resources Research》1993,2(2):140-147

In this article we describe the basic framework of the computerized geologic mapping system cigma. The system, whic is based on a mathematical formulation of geologic concepts, consists of the following six subsystems: (1) input of geologic data set; (2) inference of stratigraphic sequence; (3) construction of logical models of geologic structures; (4) determination of three-dimensional geologic boundary surfaces; (5) construction of three-dimensional solid model of geologic structures; and (6) graphical presentation. Geologic structures are summarized in several tables called logical models of geologic structures. Each model is constructed automatically from input data on structural relations between geologic bodies. The model interprets the data automatically to create data files necessary to determine the shapes of geologic boundaries; it also provides a threedimensional solid model of geologic structures referring to the shapes of boundaries. As a prototype, we introduce two types of contacts corresponding to conformity and unconformity into the logical model and show that it is possible to draw a geologic map automatically. More complex geologic structures can be introduced into the geologic mapping system through further formulation of geologic structures.  相似文献   

The main mean motion commensurabilities in the planar circular and elliptic problem     

Michèle Moons  Alessandro Morbidelli 《Celestial Mechanics and Dynamical Astronomy》1993,57(1-2):99-108

We study the motion of asteroids in the main mean motion commensurabilities in the frame of the planar restricted three-body problem. No assumption is made about the size of the eccentricity of the asteroid. At small to moderate eccentricity, we recover existing results (shape of the phase space and location of secondary resonances). We also provide global pictures of the dynamics in the region of secondary resonances. At high eccentricity, the phase space portraits of the integrable part of the Hamiltonian show new families of stable orbits for the 3:2 and 2:1 cases and the secular resonances ₅ and ₆ are located.  相似文献   

Compatible potentials and orbits in synodic systems     

George Bozis  Magda Stavinschi 《Celestial Mechanics and Dynamical Astronomy》1996,64(4):351-361

For a given family of orbits f(x,y) = c ^* which can be traced by a material point of unit in an inertial frame it is known that all potentials V(x,y) giving rise to this family satisfy a homogeneous, linear in V(x,y), second order partial differential equation (Bozis,1984). The present paper offers an analogous equation in a synodic system Oxy, rotating with angular velocity . The new equation, which relates the synodic potential function (x,y), = –V(x, y) + % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaSqaaSqaai% aaigdaaeaacaaIYaaaaaaa!3780!\[\tfrac{1}{2}\]²(x ² + y ²) to the given family f(x,y) = c ^*, is again of the second order in (x,y) but nonlinear.As an application, some simple compatible pairs of functions (x,y) and f(x, y) are found, for appropriate values of , by adequately determining coefficients both in and f.  相似文献   

About stability of libration points in the restricted photogravitational three body problem     

Krzysztof Goździewski  Andrzej J. Maciejewski  Zuzanna Niedzielska 《Celestial Mechanics and Dynamical Astronomy》1991,52(2):195-201

Nonlinear stability of the triangular libration point in the photogravitational restricted three body problem was investigated in the whole range of the parameters. Some results obtained earlier are corrected. The method for proper determination of cases when stability cannot be determined by four order terms of the hamiltonian was proposed.  相似文献   

Conformal geometry of the Kepler orbit space     

José F. Cariñena  Carlos López  Mariano A. del Olmo  Mariano Santander 《Celestial Mechanics and Dynamical Astronomy》1991,52(4):307-343

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Kalman filtering in groundwater flow modelling: problems and prospects     

U. Eigbe  M. B. Beck  H. S. Wheater  F. Hirano 《Stochastic Hydrology and Hydraulics》1998,12(1):15-32

The popularity of applying filtering theory in the environmental and hydrological sciences passed its first climax in the 1970s. Like so many other new mathematical methods it was simply the fashion at the time. The study of groundwater systems was not immune to this fashion, but neither was it by any means a prominent area of application. The spatial-temporal characteristics of groundwater flow are customarily described by analytical or, more frequently, numerical, physics-based models. Consequently, the state-space representations associated with filtering must be of a high order, with an immediately apparent computational over-burden. And therein lies part of the reason for the but modest interest there has been in applying Kalman filtering to groundwater systems, as reviewed critically in this paper. Filtering theory may be used to address a variety of problems, such as: state estimation and reconstruction, parameter estimation (including the study of uncertainty and its propagation), combined state-parameter estimation, input estimation, estimation of the variance-covariance properties of stochastic disturbances, the design of observation networks, and the analysis of parameter identifiability. A large proportion of previous studies has dealt with the problem of parameter estimation in one form or another. This may well not remain the focus of attention in the future. Instead, filtering theory may find wider application in the context of data assimilation, that is, in reconstructing fields of flow and the migration of sub-surface contaminant plumes from relatively sparse observations. Received: October 27, 1997  相似文献   

高压输电塔-桩-土相互作用分析模型及地震反应:侧向分析   总被引：3，自引：1，他引：2  

李宏男  肖诗云 《地震工程与工程振动》1998,18(2):79-84

本文提出了侧向地震作用下高压输电塔－导线耦联体系土体－桩－结构相互作用分析的力学模型、推导了运动方程,编制了计算程序,并对某一具体的输电塔进行计算,按考虑与不考虑相互作用的两种情况进行对比分析。  相似文献   

分维扩展的数值试验研究   总被引：1，自引：0，他引：1  

毋河海 《武汉大学学报(信息科学版)》1998,(4)

由于仅用一个分维值难以区分不同的形态,首先需要对原分维概念予以扩充,即把原来仅局限于无标度区内的呈直线形分布的常数分维扩充为包括无标度区上下界以外区域在内的,呈反Ｓ形分布的变量（函数）分维,使分维方法的应用不受观测尺度的限制;其次,要研究表达扩充分维的数学模型。文中论述了反Ｓ形扩充分维的数值实现方法和增强描述复杂现象的能力。  相似文献   

大地电磁的多尺度反演   总被引：17，自引：6，他引：11       下载免费PDF全文

徐义贤  王家映 《地球物理学报》1998,41(5):704-711

对于迭代方式的参数化反演方法,如何使反演结果稳定地收敛到整体极小仍是目前大地电磁（MT）反演中急需解决的问题．本文利用小波变换理论中的多尺度分析方法将大地电磁反问题分解为依赖于尺度变量的反问题序列,然后按尺度从大到小的次序依次求解,求解过程中前一个尺度反问题的解作为下一个尺度反问题的初始模型,直到来出对应于尺度为0的原反问题的解为止．该方法称为多尺度反演方法．数值试验和实际资料的反演结果表明,该方法可有效改善传统广义逆反演方法易陷入局部极小的弊端．  相似文献