盆地超压层段非幕式突破期的地热场模型数值解法

盆地超压层段的地热场模拟对超压成因研究及油气生成，排放机理分析有重要意义，但求解超压层段的热传递方程的数值解法至今仍没有被很好地解决，问题的关键在于确定超压流体速度场，由于超压流体发生幕式突破之前的排出速率极低，其速度场v=vxi vzk近似满足条件Эux/Эx Эuz/Эz＝0，可将其近似地视为稳定的不可压缩的无源流体，利用这一条件及相应的边界压力条件，可使整个计算过程得到简化，在此基础上所建立的地热场模型有限元数值解法和模拟软件，能够实现对含油气盆地在幕式突破之前的超压层段地热场进行动态模拟。     

钻孔轴线空间曲线方程的建立及探讨

为了提高钻孔测斜数据的处理精度，提出钻孔的方位角及倾角在相邻测斜点之间是均匀变化的假设。以微积分学为工具，推导出钻孔轴线空间参数方程及其在平、部面上的投影方程；以实例对现行的数据处理方法所得结果和按曲线方程处理所得结果进行比较，认为该种处理方法比较接近实际情况，同时能为自动绘图提供方便。     

合成平面波数据的Rytov近似叠前深度偏移

作者把Berkhout(1992)提出的合成平面波技术应用于线性Rytov近似叠前深度偏移，提高了波动方程叠前深度偏移的计算效率。通过在Marmousi模型数据试验，我们认为在达到基本相同成像效果的条件下，利用合成平面波技术的波动方程叠前深度偏移相对于基本共炮集数据的波动方程叠前深度偏移可提高计算效率约10倍。     

A note on magnetic modelling with remanence

The general problem of magnetic modelling involves accounting for the effect of both remanent magnetization and the application of an external magnetic field. However, as far as the disturbing field of a magnetic body in a magnetic environment is concerned, there is an equivalence between the effects of these two causations that allows the remanence to be represented in terms of an equivalent primary magnetic H field. Moreover, due to the linearity of the magnetic field in terms of its causations, the general modelling problem involving an applied magnetic field in the presence of remanence can be simply and more efficiently dealt with in terms of an equivalent primary field acting in the absence of any remanent magnetization.     

全球气侯长期振动的Fokker-Planck方程及其求解

假定行星反照率为温度的平方关系，导出了零维随机动力气候模式。对相应的ＦｏｋｋｅｒＰｌａｎｃｋ方程用矩阵连分法求解，得到了１０万年，４万年，２万年气候周期的本征值和本征向量。数值计算表明，在随机噪声强度Ｄ＝１．９５时，１０万年气候振动具有最大的振幅，即Ｍｉｌａｎｋｏｖｉｔｃｈ理论无法解释的１０万年周期。     

光学转像变倍微分方程的建立及其应用

建立了光学转像变倍微分方程，并应用于军械瞄准具无焦系统连续变倍过程的分析，给出两个数字例子的高斯光学设计结果     

Introduction to an Invariant Quantity Method

ＩｎｔｒｏｄｕｃｔｉｏｎｔｏａｎＩｎｖａｒｉａｎｔＱｕａｎｔｉｔｙＭｅｔｈｏｄＬｉｕＧｕｉｆｕ（刘桂复）（ＮａｍｉｎｇＩｎｓｔｉｔｕｔｅｏｆＭｅｔｅｏｒｏｌｏｇｙ，Ｎａｍｉｎｇ２１００４４ＲｅｃｅｉｖｅｄＭａｒｃｈ１１．１９９５，ｒｅｖｉｓｅｄＪｕｎ...     

波动方程三维吸收边界分解与拟合深度偏移方法

在偏移问题中引入吸收边界条件，既可以消除由人工边界激发的虚假反射，从而提高剖面质量。又可以减少计算工作量．本文讨论了三维吸收边界条件方程，提出了求解具有吸收边界条件的三维波动方程偏移定解问题的分解与拟合方法。理论分析与合成记录及野外实际地震资料处理结果表明，本文方法为一有效的三维吸收边界深度偏移方法。     

Stochastic sketching of infiltration-advance isochrones

A technique has been developed for predicting the irregular advance pattern often observed as water spreads on the surface of the ground. The technique is a combination of stochastic sketching, potential theory, probability theory, and a mass balance equation in the form of an advance equation. The technique can be used on flat as well as sloping terrain and addresses any form of obstructions or constraints to the flow of the water. The stochastic sketching portion of the technique uses cellular automata with transition probability movement rules to sketch the dynamics of small volume water elements in the defined environment. Randomly selected small volume flow path segments are computed and plotted. The envelope of these segments defines the wetted area and the advance front. Several examples are presented showing the patterns produced for various situations.     

Harmonic wave propagation through viscoelastic heterogeneous media exhibiting mild stochasticity - I. Fundamental solutions

This work examines the propagation of time harmonic, horizontally polarized shear waves through a naturally occurring heterogeneous medium that exhibits viscous behaviour as well as random fluctuations of its elastic modulus about a mean value. As a first step, the governing equation, which is a heterogeneous Helmholtz equation, is solved using algebraic transformations and the relevant Green's function is obtained for two sets of boundary conditions, one corresponding to a finite depth layer and the other to an infinite layer. Viscous material behaviour is introduced by considering the depth-dependent elastic modulus to be a complex quantity. Subsequently, material stochasticity in the medium is handled through the perturbation approach by assuming that the elastic modulus has a small random fluctuation about its mean value. The final results are closed-form expressions for the mean value and covariance matrix of both the wave speed profile in the medium and the corresponding Green's function. In Part II, (Soil Dynam. Earth. Engng, 1996,15, 129-39), two examples concerning seismic wave propagation in soft topsoil and in sandstone serve to illustrate the methodology and comparisons are made with Monte Carlo simulations.