三维非均匀地幔中深源电场和磁场的谱理论(Ⅰ)——基本耦合方程组

地球深部研究(SEDI)已经揭示出地幔中的温度和密度在大尺度下的三维非均匀结构,而地幔的电性结构是敏感地依赖于地幔的热状态的.对由地球发电机产生的非定常深源电场和磁场,在三维非均匀地幔中的扩散问题作3系统的探讨.根据球面矢量场的Helmholtz 分解定理,将支配的Maxwell 方程组分解为位势场Φ、环型场T 和极型场S 的基本耦合偏微分方程组,并利用张量球谐函数展开,得到该方程组的谱表示.以此,作为进一步研究核幔电磁耦合理论的必要基础.     

工程勘察中稳态瑞利面波法解释理论的探讨

工程勘探中稳态瑞利波法的实测曲线与介质性质有着密切的对应关系.传统的解释理论以自由表面瑞利面波的传播为基础.然而源检距很小时,漏能型面波（或多次复合反射波）的形成能更合理地解释记录曲线上的特征点.解释理论的正确性将有利于扩展该方法的实际应用.     

Simple analytical Green's functions for ray perturbations in layered media

The total Green's function for two-point boundary-value problems can be related to the propagator for initial-value problems. A very simple expression for the Green's function is obtained when the unperturbed medium may be described by material with a constant gradient in quadratic slowness. The derivation requires a correct understanding of assumptions made in the propagator solution. Expressions are also obtained for Green's function in multilayered media.     

Surface wave propagation in a transversely isotropic elastic layer overlying a liquid saturated porous solid half-space and lying under the uniform layer of liquid

Dispersion of Rayleigh-type surface wave is studied in a homogeneous transversely isotropic elastic layer overlying a nondissipative liquid-saturated porous solid half-space and lying under a uniform layer of homogeneous liquid. The frequency equation in the form of ninth-order determinant is obtained.Special cases have been deduced by reducing the depth of the layers to zero and by changing the transverse isotropic layer to an isotropic layer. Dispersion curves for the phase velocity have been plotted for a particular model.     

Flow through anisotropic networks

This paper presents an analysis of Hagen-Poiseulle flow through plane random anisotropic networks of interconnected channels. Macroscopic permeability tensor of the network is expressed in terms of statistico-geometrical characteristics like the degree of anisotropy in channel orientations, average co-ordination number of the network and first two moments of channel length distribution. Analytical results are illustrated and verified using numerical analysis of flow in a simulated random network. The emphasis of the paper is on the effects of anisotropy on distributions of flow rates in channels. It is shown that, due to anisotropy the maximum flow rate generally occurs in channels that are not aligned along the direction of the macroscopic pressure gradient.     

裂隙岩石介质中核素迁移的模型及其算子分裂、迎风、均衡格式

建立了放射性核素在裂隙岩石介质中迁移的双重介质模型,对模型的求解提出了一种新的数值方法—Galerkin有限元法与算子分裂、迎风、均衡格式相结合的新方法,给出了水质模型算子分裂、迎风、均衡格式的稳定性条件,且所得到的计算格式是非负的。最后通过对核素90Sr 100年、99Tc 1000年的预测计算,验证了本文所提方法的有效性和稳定性,并得出了一些有重要意义的结论。