回归直线的拟合度

采用模糊数学的方法研究回归直线与实测点的拟合度,提出回归直线的似合度,给出计算回归直线拟合度的方法。     

Book review of ENCYCLOPEDIA OF NONLINEAR SCIENCE,edited by Alwyn Scott,Routledge, Taylor and Francis Group, 2005, VII +1053 pp., 135, $225 hardback (ISBN 1-57958-385-7).

We present three-dimensional (3D) solutions of the magnetohydrostatic equations in the co-rotating frame of reference outside a magnetized rigidly rotating cylinder. We make no symmetry assumption for the magnetic field, but to be able to make analytical progress we neglect outflows and specify a particular form for the current density. The magnetohydrostatic equations can then be reduced to a single linear partial differential equation for a pseudo-potential U, from which the magnetic field can be calculated by differentiation. The equation for U can be solved by standard methods. The solutions can also be used to determine the plasma pressure, density and temperature as functions of all three spatial coordinates. Despite the obvious limitations of this approach, it can, for example, be used as a simple tool to create 3D models for the closed field line regions of rotating magnetospheres without rotational symmetry.     

关于精密地形改正的若干注记

引用斜率作为新的变量，首次使地形改正一类奇异积分非奇异，并在此基础上详细讨论了精密地形改正计算的若干技术问题，地形模型和某山区的试算结果均表明，以往线性近似误差较大，应避免使用。     

唐山滦县震区的三维地震透射研究──中、上地壳速度层析成像

利用布设在唐山滦县震区３０ｋｍ×４０ｋｍ范围内的由８８台数字和模拟地震仪组成的临时台阵，接收来自不同方向６个炮点激发产生的莫霍界面反射波走时，重建了台阵下１-９ｋｍ深度的Ｐ，Ｓ波速度和Ｖ_ｐ／Ｖ_ｓ图像．结果表明。中、上地壳结构存在明显的横向不均匀性．北北东走向的滦县-卢龙断裂自地表向下至少延伸到８ｋｍ深度处，并向北西方向倾斜．中、上地壳存在着近东西向的低速异常条带．这两组构造控制着该区的地震活动．     

位于导电介质中三维导体的电磁响应

本文给出一种用积分方程法配合有限差分法计算位于导电介质中三维导体的电磁响应的新途径,在二层大地条件下给出了具体计算方法和结果。详细讨论了围岩介质的导电性对导体异常的影响。这对于开展低阻覆盖层地区的电磁法工作具有一定的指导意义。     

自组织人工神经网络在地震综合预报中的应用

运用三维Ｔ·ｋｏｈｏｎｅｎ自组织人工神经网络进行地震综合预报，以云南多震区─滇西南地震区为例进行实际判别计算，预测成功率达１００％。结果表明．神经网络方法性能较好，可望成为进行地震实际预报的一种有效的辅助手段。     

Three-dimensional elastic wave scattering and diffraction due to a rigid cylinder embedded in an elastic medium by a point source

The formal solutions of displacement field to the problem of elastic wave scattering and diffraction due to an infinitely long rigid cylinder embedded in an infinite elastic medium by an impulsive point source have been obtained in the integral form. The integrals for the reflected and the diffracted waves both in the shadow zone and in the illuminated zone are evaluated asymptotically for the early time motion by the Reisdue-Cagniard method and the Saddle-point-Cagniard method.Numerical results of the diffractedP, S andPS waves at a fixed circum-distance from the surface of the rigid cylinder show noticeably that (1) the energy partition for the diffractedS wave is small in comparison with that for the diffractedP wave, (2) the wave form of the diffractedS wave is broader and more diffused than that of the diffractedP wave, (3) the direction of the radial motions of the diffractedP andS waves varies as a function of the observational point, and (4) the energy partition for the diffractedP wave is much smaller than that for the direct or the reflectedP waves.This paper has been presented at the 46th Annual International Meeting of Society of Exploration Geophysicists in Houston, Texas, Oct. 28, 1976.     

Travel-time residuals and three-dimensional velocity structure of Italy

Jeffreys-Bullen P and PKP travel-time residuals observed at more than 50 seismic stations distributed along Italy and surrounding areas in the time interval 1962–1979, indicate the complex velocity pattern of this region. Strong lateral velocity inhomogeneities and low velocity zones are required to explain the observed pattern of residuals. In particular, late arrivals of about 1 sec are observed in the Apenninic mountain range, requiring both greater crustal thickness and low velocity layers, coherent with seismic refraction data and surface wave dispersion measurements. The seismic stations located in the Western and Eastern Alps indicate the presence of high velocities. In the Western Alps the strong azimuthal variation of residuals and the high values of early arrivals have a close relationship to the Ivrea body, an intrusive crustal complex characterized by a velocity as high as 7–7.2 km/sec.A travel-time inversion performed with theAki et al. (1977) block model, confirms the peculiar characteristics and the sharp variations in the lithosphere of the whole Italian region, with values of velocity perturbations between many adjacent blocks, ranging in size from 50 to 100 km, and independent from the earth parametrization chosen, reaching values up to 10% in the lithospheric part and 5% in the asthenosphere. 3-D inversion requires also high velocity along the Tyrrhenian coastal margin, equivalent to an uprise of major crustal and lithospheric discontinuities along this part of the Italian peninsula. Moreover low velocity material must be present in the northern part of the Adriatic foreland, in the lithosphere-asthenosphere system, closely related to the stress and seismicity pattern, and the lateral bending of the lithosphere in the same region.     

利用地层空间的相对稳定性、井资料、地震资料模拟高分辨率波阻抗资料

由于地震资料是带限的,而井资料约束反演过程中的地震反演频带的展宽也是有一定限度的,使得反演地震波阻抗也是带限的。如何进一步拓宽反演地震波阻抗的频带宽度,提高地震资料的分辨率是文中研究的内容。利用井约束下的地震反演波阻抗资料、地震资料及井资料,借鉴地质模拟技术,研究如何利用地层的空间相对稳定性特征,通过相关函数的分析,估计反演更高分辨率的地震波阻抗资料。考虑到地质体空间的相关性及分辨率,相关半径取相关函数从最大点到第1个极值点的范围。在目标函数的计算过程中,既考虑当前计算点的权系数信息,又考虑井外推时的权系数信息,这样使计算结果更加稳定可靠。通过综合模拟计算,能够识别较小砂体     

Determining magma flow in sills,dykes and laccoliths and their implications for sill emplacement mechanisms

Three-dimensional seismic data from the Faeroe-Shetland Basin provides detailed information on the relationships between sills, dykes, laccoliths and contemporaneous volcanic activity. The data shows that sills are predominantly concave upwards, being complete or partial versions of radially or bilaterally symmetrical forms that possess flat inner saucers connected to a flat outer rim by a steeply inclined sheet. Such morphologies are only partially modified by pre-existing faults. Sills can be sourced from dykes or the steep climbing portions of deeper sills. Both sills and dykes can provide magma to overlying volcanic fissures and sills can be shown to feed shallow laccoliths. Magma flow patterns, as revealed by opacity rendering, suggest that sills propagate upwards and outwards away from the magma feeder. As an individual sill can consist of several leaves emplaced at different stratigraphic levels, and as a sill or dyke can provide magma to volcanic fissures, other sills and laccoliths, the data suggests that neutral buoyancy concepts may not provide a complete explanation for the mechanism and level of sill emplacement. Instead, the data suggests that the presence of lithological contrasts, particularly ductile horizons such as overpressured shales may permit sill formation at any level below the neutrally buoyant level. Electronic supplementary material The online version of this article (doi:) contains supplementary material, which is available to authorized users. Ken Thomson–deceased, April 2007