一类非线性二阶常微分方程解的多重性

考虑一类二阶非线性常微分方程的边值问题（p（t）u′）′＋h（t）f（u）=0，0＜t＜1和u（0）=u（1）=0。通过引入f（s）／s在∞与0处的极限值，并运用打靶法和相应的Sturm比较定理得到解的多重性定理，推广有关文献中的许多重要结果。     

基于矩形网格的有限差分走时计算方法

对于大多数速度场，地震波沿射线传播的初至波走时，可以用有限差分外推的方法在二维或三维数值网格上计算出来. 在保证精度的条件下，为提高计算效率和适应性，本文推导了基于任意矩形网格和局部平面波前近似的有限差分初至波走时计算方法. 另外，该方法对首波和散射波做了合适的处理，而且不会碰到传统射线法存在的阴影区和焦散区等问题. 简单模型和复杂的Marmousi模型试算的结果表明，该方法精度较高并适用于强纵、横向变速的复杂介质. 基于该方法的Kirchhoff叠前深度偏移, 在主要构造和目的层位置的成像效果上基本达到了波动方程法叠前深度偏移的位置成像效果. 由于未考虑续至波等有效能量，在成像的保幅性上不如波动方程法叠前深度偏移的效果，但其计算效率则明显高于全格林函数法和波动方程法.      

Mathematical Models for Combined Refraction-Diffraction of Waves on Non-Uniform Current and Depth

Two mathematical models for combined refraction-diffraction of regular and irregular waves on non-uniform current in water of slowly varying topography are presented in this paper. Model I is derived by wave theory and variational principle separately. It has two kinds of expressions including the dissipation term. Model n is based on the energy conservation equation with energy flux through the wave crest lines in orthogonal curvilinear coordinates and the wave kinematic conservation equation. The analysis and comparison and special cases of these two models are also given.     

Interpretation of a two-point flux stencil for skew parallelogram grids

Control-volume formulations for elliptic equations often use two-point flux stencils, even for skew grids. Any two-point flux stencil may be interpreted as a multipoint flux stencil. This yields a definition of the permeability (or conductivity) tensor. Formulas for calculating the permeability tensor, based on the user-specified quantities in the two-point flux stencil, are given. Numerical test examples demonstrate the validity of the derivation.      

Ronge-Kutta法在计算复杂构造区域地震波旅行时中的应用

采用Ronge-Kutta射线追踪法对地震勘探中几个典型地质模型的地震波射线路径和旅行时计算的实例和效果进行分析。将Ronge-Kutta射线追踪模拟的结果与程函方程计算的时距曲线结果进行对比,验证了Ronge-Kutta射线追踪法的易实现性和程函方程有限差分旅行时算法的强稳定性,表明Ronge-Kutta射线追踪法在复杂构造区域进行地震射线路径和旅行时计算时能得到较好的模拟效果。     

Nonlinear Coupled Motions for a Given Two-Point Tension Mooring System

—The nonlinear behaviors of plane coupled motions for a given two-point tension mooring sys-tem,are discussed in the present paper.For a cylinder moored by two taut lines under the action ofgravity,buoyance and forces due to wave-current and mooring lines,a mathematical model of motionswith three degrees of freedom is established.The steady solution and stability are analyzed.By integratingthe equations of motions,history,phase map and Poincare map are obtained.The Liapunov exponentsare also computed.The numerical results show that:the horizontal movement will increase,and stabilitywill also increase as the steady force increases.The amplitude of responses will decrease as time-dependentforces decrease.Because of the geometric nonlinearity,there exist many windows bifurcating to pseudo-pe-riodic or multi-periodic solution.The bifurcating patterns may be different.The behaviors are very com-plex.Under wave excitation alone,the motions are nonsymmetrical but still symmetrical statistically.     

四川芦山 MS7．0地震震源机制解

使用中国数字地震台网记录的区域和远震宽频带波形,通过频率域和时间域多步反演,研究四川芦山 MS 7．0地震基于点源模型的震源机制解和有限断层模型。考虑到使用不同波形资料类型、盆地效应及简化的一维速度模型等给反演震源参数带来的影响,经测试比较,结果表明：使用区域波形和本区域简化一维速度模型,波形拟合误差最小。此次地震表现为高倾角纯逆冲型事件矩心在水平方向上位于震中偏南西向约4．5 km,最佳波形拟合矩心深度约17 km,矩震级 MW约6．6。推断此地震大多数能量主要在震源偏南西约4．5 km 处释放。