考虑沉积角影响的冻结砂土单轴压缩试验研究

寒区工程中的土颗粒在重力作用下沿优势方向沉积排列而形成横观各向同性冻土材料。不考虑沉积方向与荷载方向之间沉积角的影响可能会错误估计实际工程中冻土的变形特征与承载力。然而,现有文献尚未探究沉积角对冻土工程特性的影响。针对这一问题,开展了不同温度条件下沉积角对冻土单轴压缩变形与强度特性影响的试验研究。通过所研发的制样模具制备了具有4种不同沉积角δ的冻土试样（δ=0°、30°、60°和90°）,在设定的4种不同温度T条件下（T=-5、-10、-15℃和-20℃）对具有不同沉积角δ的冻土试样开展了单轴压缩试验,分析了T与δ对冻土的变形模式、破坏特征以及单轴抗压强度的显著影响。根据冻土应力-应变曲线的归一化结果及其软化段斜率的变化规律,将冻土单轴压缩变形模式在T与δ影响下分为变形模式I、II和III。根据结果可知,随着T降低以及δ趋于60°,冻土的变形模式趋于由变形模式I过渡到变形模式III,试样破坏模式由鼓胀的X形剪切带破坏趋于破坏范围较小的单剪切面破坏,而冻土单轴抗压强度随T降低而增大的同时,随δ增加表现出先减小后增大的趋势。     

Seismic ground motion in a layered half-space due to a Haskell-type source. I: Theory

In this paper, closed-form analytic expressions for the frequency-wave number domain Fourier amplitudes of the displacement field at the free surface of a layered, anelastic half-space are established. The displacement field is caused by a seismic source described by a shear dislocation propagating with constant velocity over a rectangular fault (Haskell's model). Three-dimensional plane wave propagation is considered in the layered half-space using a propagator-based formalism. The wave radiation from the source is decoupled into P-SV and SH motions and the two problems are treated separately. First, analytic expressions are calculated for the displacement field at the free surface due to unidirectional unit impulses. Then, these expressions are used to compute solutions for the displacement field due to effective point sources associated with a pure strike slip and a pure dip slip. Finally, these solutions are combined and integrated over the rectangular fault area to establish closed-form analytic expressions of the total displacement field at the free surface.     

红碱淖—沟岔地区地下水流系统研究

本文根据对红碱淖－沟岔地区地下水形成的背景条件、水化学特征、环境同位素组成的分析和剖面地下水势的计算，把研究区划分为２个区域地下水流系统和３个局部地下水流系统，对不同等级地下水流系统的边界、系统的循环作了详细探讨，深刻揭示了这种复合地形区、均质含水介质中地下水流的循环模式。     

Plane strain deformation of a multi-layered poroelastic half-space by surface loads

The Biot linearized quasi-static theory of fluid-infiltrated porous materials is used to formulate the problem of the two-dimensional plane strain deformation of a multi-layered poroelastic half-space by surface loads. The Fourier-Laplace transforms of the stresses, displacements, pore pressure and fluid flux in each homogeneous layer of the multi-layered half-space are expressed in terms of six arbitrary constants. Generalized Thomson-Haskell matrix method is used to obtain the deformation field. Simplified explicit expressions for the elements of the 6 × 6 propagator matrix for the poroelastic medium are obtained. As an example of the possible applications of the analytical formulation developed, formal solution is given for normal strip loading, normal line loading and shear line loading.     

各向异性局部重力场计算的谱方法

本文所采用的基于输入－输出系统论的谱方法在计算结果的精度上与最小二乘配置方法相当,却很容易用于异性场的计算。用该谱方法对卫星测高及海洋重力资料进行组合求解重力场量（大地水准面差距和重力异常）,其误差估计结果表明各向异性场的计算精度优于各向同性场的精度。     

点力源在横向各向同性介质中激发的弹性波

点力源在均匀横向各向同性介质中激发的弹性波可以用透射-反射矩阵法进行求解。假定点力源位于一假想的各向同性层中,并利用各向同性介质中等效于势函数的过源面间断,从而易于求出介质中各个点上的弹性波场;再令假想的各向同性层的厚度趋近于0,则可求出原始问题的解,即横向各向同性介质中的格林函数。最后得出的结果和假想的各向同性层的性质无关,表明这一方法用于求解点力源在各向异性介质中激发的弹性波场是可行的。     

The reflection and transmission of elastic waves at a interface between a transversely isotropic elastic soils and saturated soils

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Surface motion of a cylindrical hill of circular-arc cross-section for incident plane SH waves

A closed-form solution of two-dimensional scattering of plane SH waves by a cylindrical hill of circular-arc cross-section in a half-space is presented using the wave functions expansion method. The solution is reduced to solving a set of infinite linear algebraic equations, using the auxiliary functions and the exterior region form of the Graf's addition theorem. Numerical solutions are obtained by truncation of the infinite equations and their accuracies are demonstrated by convergence of the numerical results and by the extent to which the numerical results fit the exact boundary conditions with increasing the truncation order. The numerical results for some typical cases are then presented for checking accuracies of various numerical methods. The effects of the height-to-width ratio of the hill on surface ground motion are finally illustrated.     

Cones to model foundation vibrations: incompressible soil and axi-symmetric embedment of arbitrary shape

The recently streamlined strength-of-materials approach using cones to calculate vibrations of foundations embedded in layered half-spaces and full-spaces is applied to incompressible and nearly-incompressible soil and to axi-symmetric embedments of arbitrary shape. For incompressible soil the axial-wave velocity in the cones is limited to twice the shear-wave velocity and a trapped mass for the vertical motion and a trapped mass moment of inertia for the rocking motion moving as a rigid body with the under-most disk of an embedded foundation are introduced. In the case of a fully embedded foundation, a mass and a mass moment of inertia are also assigned to the upper-most disk. For an axi-symmetric embedment of arbitrary shape, the disks have varying radii. No modifications to the formulation are, however, required. For these two extensions the strength-of-materials approach using cones leads to the same sufficient engineering accuracy as is achieved in other more conventional cases. This is demonstrated in a vast study. Thus the same other advantages also apply: physical insight with conceptual clarity, simplicity and sufficient generality.