Steady ground-water flow through layered media

This paper deals with the flow through a layered medium that has alternate sand and clay strata. The solutions of plane, axisymmetric and spatial cases are given. Research results in this paper can be applied to seepage calculations and hydraulic engineering designs in flood areas and reclaimed marsh land.List of Symbols A _n Upward leakage factor of the nth sand stratum - A _n Downward leakage factor of the nth sand stratum - [B] Matrix of eigenvector - B _nm Element of [B] corresponding to the nth sand stratum and the mth eigenvalue - C _m , C _N+m Arbitrary constants belonging to the terms contained the mth eigenvalue - C_mj Arbitrary constant belonging to the term contained the mth eigenvalue due to a line source in the jth sand stratum - [D] Inverse matrix of [B] - d _f0 ^sup+ Additional length of the seepage path for ditches in symmetric flow - F, ^F _m Area and dimensionless area corresponding to the mth eigenvalue ( ^F _m = _fm ^sup2 F) - f ₀ Coefficient of additional resistance of partially penetrating well - H Total water head; upstream water head - h, h _n Water head and water head of the nth sand stratum - h _nj Water head of the nth sand stratum due to a line source in the jth sand stratum - h ₀ Surface water head - h/H × 100% Potential - i, j Number - k, k Permeability coefficient of the sand stratum and clay stratum, respectively - k _n , k _n Permeability coefficient of the nth sand stratum and the nth clay stratum, respectively - L Length - m Number - N Total number of sand or clay strata - n Number - Q _j Discharge of a line source distributed along a vertical line in the jth sand stratum - Q _ji The partial discharge of the ith well (or line source), which flows through the screen pipe penetrating the jth sand stratum - qj Discharge of a face source distributed on an area - unit breadth multiplied by the thickness of the jth sand stratum. The abbreviation is: unit discharge of a face source in the jth sand stratum - qji Unit discharge of a face source on the ith surface element in the jth sand stratum - R Constant radius - S Distance; length of a curve - ^S _m Dimensionless length of a curve corresponding to the mth eigenvalue ( ^S _m = _m S) - s Number - T _n , T _n Thickness of the nth sand stratum and the nth clay stratum, respectively - t Number; thickness - x, y, z Cartesian coordinates - y Polar coordinate; radius; distance - ^y _m Dimensionless distance corresponding to the mth eigenvalue ( ^y _m = _m y) - y ₀ Radius of well - y ₀ Radius of equivalent completely penetrating well - Infinitesimal half breadth - Infinitesimal area - Angle - Eigenvalue     

Shock waves in saturated thermoelastic porous media

The objective of this paper is to develop and present the macroscopic motion equations for the fluid and the solid matrix, in the case of a saturated porous medium, in the form of coupled, nonlinear wave equations for the fluid and solid velocities. The nonlinearity in the equations enables the generation of shock waves. The complete set of equations required for determining phase velocities in the case of a thermoelastic solid matrix, includes also the energy balance equation for the porous medium as a whole, as well as mass balance equations for the two phase. In the special case of a rigid solid matrix, the wave after an abrupt change in pressure propagates only through the fluid.     

铷原子饱和吸收光谱与偏振光谱对780nm半导体激光器稳频的比较

将激光频率锁定于合适的参考频率,可以有效地抑制激光器的频率起伏。本文采用铷原子D2线超精细跃迁线的饱和吸收光谱和偏振光谱分别获得鉴频曲线,通过电子伺服系统将频率校正信号负反馈到780 nm光栅外腔反馈半导体激光器外腔的压电陶瓷上的方法对激光器进行稳频。介绍了两种方法的基本原理和实验方案。与激光器自由运转300s时激光器典型的频率起伏约6.6 MHz相比,采用饱和吸收光谱和偏振光谱进行稳频,运转300 s时激光器典型的残余频率起伏分别约为1.5 MHz和0.6 MHz。分析表明,饱和吸收光谱稳频采用了相敏检波技术,需要对激光器进行频率调制,带来了额外的频率噪声,而偏振光谱稳频则是一种完全无频率调制的稳频方案。     

关于CAP-子群的一点注记（英文）

对于有限群G的每一主因子H/K来说,若G的子群L满足LH=LK或者L∩H=L∩K,则称L是G的CAP-子群.本文通过假设G的每个非循环Sylow子群P有一个子群D使得1〈｜D｜〈｜P｜,且P的所有阶为｜D｜和2｜D｜（若P是非交换2-群且｜P∶D｜〉2）的子群H是G的CAP-子群,得到G为p-幂零群的一个结果.     

子群的S-条件置换性对有限群结构的影响

Let G be a finite group. Fix a prime divisor p of IGI and a Sylow p-subgroup P of G, let d be the smallest generator number of P and Ma（P） denote a family of maximal subgroups P1, P2 , Pd of P satisfying ∩^di=1 Pi = Ф（P）, the Frattini subgroup of P. In this paper, we shall investigate the influence of s-conditional permutability of the members of some fixed .Md（P） on the structure of finite groups. Some new results are obtained and some known results are generalized.     

长寿命吸收过程对超快动力学过程测量的影响

使用飞秒时间分辨抽运-探测透射光谱技术,实验研究了GaAs体材料中光激发载流子的超快弛豫动力学的波长依赖.在相同的光激发载流子浓度和抽运/探测比时,发现760 nm和780 nm两中心波长处的瞬态透射变化延迟扫描信号出现负的和振荡的信号.与模拟计算结果对比,判定该实验瞬态信号是错误的.分析探测器输出波形,发现是由于反相波形导致的,而引起反相波形的原因在于样品中存在长寿命的吸收过程.指出通过提高探测器上的抽运/探测比能够矫正反相波形,从而获得正确的瞬态透射变化动力学.提高探测器上的抽运/探测比与目前的应尽量减小抽运光对探测器的散射贡献的观点是对立的.文章的研究结果对应用抽运-探测时间分辨光谱技术正确地测量超快瞬态动力学过程具有重要的参考价值. 关键词： 时间分辨抽运-探测透射光谱 饱和吸收 吸收增强 GaAs体材料     

Minimum K2, 3‐Saturated Graphs

A graph is K_{2, 3}‐saturated if it has no subgraph isomorphic to K_{2, 3}, but does contain a K_{2, 3} after the addition of any new edge. We prove that the minimum number of edges in a K_{2, 3}‐saturated graph on vertices is sat.     

Constrained Minimum-Time-Oriented Feedback Control for the Stabilization of Nonholonomic Systems in Chained Form

In this paper, a discontinuous state-feedback law is proposed for the stabilization of nonholonomic systems in power form. The feedback law is based on a receding-horizon strategy in which the open-loop optimization problem is a minimum-time steering process. Suboptimal formulations are used explicitly to meet the real-time implementability requirements. Stability is established in a sampled-data context and illustrative simulations are given to show the effectiveness and the real-time implementability of the proposed scheme.     

Automorphisms of Models of True Arithmetic: Subgroups which Extend to a Maximal Subgroup Uniquely

We show that if M is a countable recursively saturated model of True Arithmetic, then G = Aut(M) has nonmaximal open subgroups with unique extension to a maximal subgroup of Aut(M). Mathematics Subject Classification: 03C62, 03C50.     

干湿球湿度计相对湿度的计算

本文介绍了干湿球温度计的测温原理及计算相对湿度的公式．