汶川地震映秀-北川地表破裂带虹口乡段精细填图、位移特征和地震构造分析

同震地表破裂带是地震破裂最直观的表现。地表破裂带的精细填图对理解地震破裂过程及发震机理有着重要意义。我们对5.12汶川地震映秀-北川同震破裂带南部的虹口乡区段开展了较为精细的填图工作,该区段地表破裂带的平面几何和同震位移特征沿走向均显示出公里尺度的横向变化和复杂性。根据同震破裂不连续性特征可把地表破裂分为4段,自南向北依次为深溪沟段、庙坝段、高原新村段和八角庙段。其中,深溪沟段和八角庙段同震垂直位错较大,达.5～6m;庙坝段同震垂直位移量普遍较低,1～2m或更低;  在高原新村附近,地表破裂带分为近平行的南北两支,北支以右旋走滑为主,南支以南东盘逆冲抬升为主,这与与映秀-北川同震破裂总体北西盘抬升的性质相反。本文对高原新村附近的反向陡坎进行了深入的探讨,并综合前人的研究结果,认为是破裂在从深部往上扩展的过程中,在浅表部位顺着发育在虹口东南部的大鱼洞-龙溪飞来峰后缘的具南东倾向的断面继承而成。与北川沙坝附近的反向陡坎一样,说明老断裂带构造几何特征对单次地震破裂的扩展有牵引作用。最后,讨论了八角庙有切割关系的两组断层擦痕的地震学和地质学意义,指出可能指示了映秀-北川断裂面上局部区段震前的初始应力水平较低。     

微分几何学在地质构造定量研究中的应用

阐述了在构造地质学定量研究中引入微分几何学的必要性,并讨论了在地质构造定量研究中的具体应用及相关的数值计算方法.微分几何为定量描述地质构造形态、建立精确的数学解析模型提供了基础,是深入定量研究地质构造形态及其变化的重要数学工具.在前人工作基础上,为更方便地与其他先进的技术和方法相结合,总结了地质构造的数学建模与重构、计算机自动分析计算、三维可视化与运动仿真.具体可以应用于裂缝预测、构造面形变分析、褶皱形态分类、隐藏断层探测,以及矿床和油气藏的预测研究等方面.     

用化石天长计算地球年龄的方法及意义——如何理解地球年龄

天长（一天时长）是地球自转速度的直接反映。古生代-中生代化石记录的天长数据表明,古生代-中生代期间的天长随时间呈线性增加。根据角动量守恒定律,这意味着同时段地球自转速度呈线性衰减。如果把这个趋势应用于地球历史的全过程,计算结果为4.519～4.495 Ga,与目前公认的地球绝对年龄4.54 Ga一致。这意味着,从这个时间点起,地球有一种自转速度衰减的总趋势。地球自转速度衰减年龄等值于地球年龄说明：1）所测量的陨石样本生成的时间（表征地球年龄）与地球受月球吸引形成自转减速的时间几乎相同。这意味着地-月体系形成之前的地球比该陨石表征的地球年龄更为古老。2）地球、月球、自转速度衰减时长,三者的年龄呈现等值状态,因而此结果与月球起源于大碰撞的假说可以匹配。     

非线性奇异摄动问题的微分求积区域分裂法

应用微分求积区域分裂法求解非线性奇异摄动问题。数值实验结果表明，该法准确度高，计算量少。     

周期性潮积岩及其研究意义

回顾了最近十余年来国外对周期性潮汐沉积物，特别是潮汐韵律层的研究进展，系统介绍了几种从古代沉积物中识别出来的潮汐周期，包括基本潮汐（半日潮，全日潮和混合潮），大一小潮周期以及一些长周期波动等。最后，对潮汐韵律层在推测地史时期地－月系的演化历史及计算短期沉积速率中的意义作了评述。     

An interpretation of the variations of the magnetic core-mantle coupling torques and the core drift rate

The influence of recently computed axial magnetic core-mantle coupling torques on the Earth's rotation was investigated. These torques derived from poloidal geomagnetic field within the mantle and at the core-mantle boundary are retarding torques. An accelerating torque due to the action of unknown parts of the core field was estimated by inverse solution of the equation of the mantle rotation for the periodic variations of the quantities of the magnetic field and the length of day. The variations of the drift rate of the Earth's core were compared with those of the mantle rotation velocity for a force-free Earth. The time constants of the coupling process were estimated and discussed in connection with the magnetic coupling of the mantle with an upper core layer. Der Einfluß kürzlich berechneter axialer Kern-Mantel-Kopplungsmomente auf die Erdrotation wurde untersucht. Diese Lorentz-Drehmomente, abgeleitet vom poloidalen geomagnetischen Feld im Mantel und an der Kern-Mantel-Grenze, sind retardierende Momente. Ein beschleunigendes Drehmoment, das der Wirkung unbekannter Feldanteile zugeordnet wird, wurde durch inverse Lösung der Mantelrotationsgleichung für die periodischen Variationen der Magnetfeldgrößen und der Tageslänge abgeschätzt. Die Variationen der Kerndriftgeschwindigkeit wurden mit denen der Mantelrotationsgeschwindigkeit für eine kräftefreie Erde verglichen. Die Zeitkonstanten des Kopplungsprozesses wurden ermittelt und im Zusammenhang mit der magnetischen Kopplung des Mantels mit einer oberen Kernschicht diskutiert.     

Critical inclination in the main problem of a massive satellite

The classical problem of the critical inclination in artificial satellite theory has been extended to the case when a satellite may have an arbitrary, significant mass and the rotation momentum vector is tilted with respect to the symmetry axis of the planet. If the planet’s potential is restricted to the second zonal harmonic, according to the assumptions of the main problem of the satellite theory, two various phenomena can be observed: a critical inclination that asymptotically tends to the well known negligible mass limit, and a critical tilt that can be attributed to the effect of transforming the gravity field harmonics to a different reference frame. Stability of this particular solution of the two rigid bodies problem is studied analytically using a simple pendulum approximation.     

Equilibrium Structures of Differentially Rotating and Tidally Distorted White Dwarf Models of Stars

In this paper we present a method for computing the equilibrium structures and various physical parameters of a primary component of the binary system assuming that the primary is more massive than the secondary and is rotating differentially according to the law of the w² = b₀ + b₁ × s² + b₂ × s⁴, w being the angular velocity of rotation of a fluid element distant s from the axis of rotation and b₀, b₁, b₂ suitably chosen numerical constants. This method utilizes the averaging approach of Kippenhahn and Thomas (1997) and the concept of Roche equipotentials in a manner earlier used by Mohan et al. (1997) to incorporate the effects of rotation and tidal distortions on the equilibrium structures of certain rotationally and tidally distorted stellar models. The use of the method has been illustrated by applying it to obtain the structures and some observable parameters of certain differentially rotating and tidally distorted binary systems whose primary component is assumed to be a white dwarf star.     

广东三水盆地晚自垩世—始新世古地磁研究及构造意义

对广东三水盆地上白垩统三水组、大　山组、古新统莘庄组及始新统　心组、宝月组的系统的古地磁研究结果表明：（１）旋转运动是该区构造运动的主要形式，顺时针旋转盆地拉张发育，这时针旋转盆地挤压衰亡，发育的程度与旋转角度有关；（２）始新世该区旋转方向由顺时针旋转变为道时针旋转，对应于太平洋－库拉板块对欧亚板块作用方向的改变，说明三水盆地的形成发育与太平洋－库拉板块对欧亚板块的作用密切相关；（３）三水盆地所在的华南地块从晚白垩世至始新世在纬向上不存在明显的运动，一直停留在略低于现今纬度的位置上。     

The influence of the electromagnetic core-mantle coupling torques on earth's rotation

The electromagnetic core-mantle coupling is one of the most likely hypotheses to explain the connections between both, the decade fluctuations of the Earth rotation and such of the magnetic field of the Earth. Within this paper, the axial and equatorial electromagnetic torques are computed at time intervals of two years from 1903.5 to 1975.5. They are compared with mechanical torques necessary for the excitation of the decade variations of the rotation of the Earth. The comparison is made with regard to the magnitude of the torques, to their time behaviour and to the periods within the time variations of both types of the torques. The computed electromagnetic torques are comparable with that necessary to excite the variations of the rotation of the Earth. But they are two or three orders less than that necessary to excite the decade variations of the polar motion. Some comparable periods were found within the spectra of the electromagnetic and the mechanical torques. This speaks in favour of the core-mantle coupling. But there are differences between both spectra too hinting at other processes which we cannot describe by a simple model of the core-mantle coupling.