Two-dimensional stochastic analysis of flow in leaky confined aquifers subject to spatial and periodic leakage

This paper addresses the issue of flow in heterogeneous leaky confined aquifers subject to leakage. The leakage into the confined aquifer is driven by spatial and periodic fluctuations of water table in an overlying phreatic aquifer. The introduction of leakage leads to non-uniformity in the mean head gradient and results in nonstationarity in hydraulic head and velocity fields. Therefore, a nonstationary spectral approach based on Fourier–Stieltjes representations for the perturbed quantities is adopted to account for the spatial variability of nonstationary head fields. Closed-form expressions for the variances of hydraulic head and specific discharge are developed in terms of statistical properties of hydraulic parameters. The results indicate that the spatiotemporal variations in leakage leads to enhanced variability of the hydraulic head and of the specific discharge, which increase with distance from any arbitrary reference point. The coefficient of leakage and the spatial structure of log transmissivity field and of the amplitude of water table fluctuation are critical in quantifying the variability of the hydraulic head and of the specific discharge.     

有耗介质探地雷达波传播衰减特性的研究

探地雷达是利用超高频脉冲电磁波探测地下介质分布的一种浅层地球物理勘探方法,探地雷达超高频、宽频带脉冲电磁波在地下有耗介质中的衰减特性是一个十分复杂的过程。本文从电磁波传播的麦克斯韦方程出发,较为系统地研究和分析了雷达脉冲电磁波在有耗介质中传播的衰减特性,对研究雷达脉冲电磁波在地下有耗介质中的传播机制有指导意义。     

An analytical solution for heterogeneous and anisotropic anticline reservoirs under well injection

This study develops a mathematical model for describing the steady-state head response to fluid injection into a fully penetrating well in a heterogeneous and anisotropic anticline reservoir. In the model, the upper boundary of the anticline reservoir is approximated by a form of step change in reservoir thickness and the domain of the reservoir is divided into two regions with different hydraulic conductivities. By virtue of the properties of Fourier series, the method of separation of variables is employed to develop the analytical solution of the model.     

基于颗粒物质力学与连续介质热力学的岩土本构模型初探

首先简要介绍颗粒物质力学与模拟岩土材料本构特性的热力学方法,其次对力链及其对应的强弱网络的形成、力学特性与能量耗散特点与机制进行深入地分析,随后在Collins提出的土体热力学模型的基础上,考虑强弱网络结构的应力应变特征,引入合理的假设,探讨建立符合热力学原理的宏细观结合的岩土本构模型的思路与步骤     

固载杂多酸催化合成富马酸二甲酯

以富马酸与甲醇为原料，固载杂多酸PW12／C为催化剂合成了富马酸二甲酯。详细探讨了影响酯化反应的各种因素，得出了富马酸与甲醇反应的最佳条件，即m（催化剂）∶m（富马酸）8∶100，n（富马酸）∶n（甲醇）＝1∶8，回流搅拌反应3h。在该条件下，酯化产率为91.6%。结果表明，此法催化剂用量少，催化活性高，反应时间短，酯收率高，反应工艺简单。     

一些陆面要素非均匀分布对模式计算结果影响的理论分析

应用平均参数化方法,从理论上分别研究了地表温度、地面粗糙度、积雪深度和密度非均匀分布对相关物理量计算的影响。结果表明:考虑地表温度的非均匀分布影响后,模式网格上平均地面的长波辐射通量增加,地面饱和水汽压也增加;在相同的地表温度分布变差系数和常温情况下,与长波辐射通量相比,地面饱和水汽压的变化对地表温度非均匀分布较为敏感;地面粗糙度非均匀分布对地面中性曳力系数和BATS型地面积雪覆盖率有一定的影响;积雪深度和密度非均匀分布也对地面积雪覆盖率有一定的影响。     

干旱半干旱区非均匀地表区域能量通量的卫星遥感参数化

卫星遥感在估算非均匀地表区域能量通量时有其独到的作用。文中介绍了利用Landsat TM资料估算非均匀地表区域地表能量通量和蒸发(蒸散)量的参数化方案、研究结果和存在的难点问题。并提出了解决问题的可能途径。     

A peridynamics model for strain localization analysis of geomaterials

Geomaterials such as sand and clay are highly heterogeneous multiphase materials. Nonlocality (or a characteristic length scale) in modeling geomaterials based on the continuum theory can be associated with several factors, for instance, the physical interactions of material points within finite distance, the homogenization or smoothing process of material heterogeneity, and the particle or problem size-dependent mechanical behavior (eg, the thickness of shear bands) of geomaterials. In this article, we formulate a nonlocal elastoplastic constitutive model for geomaterials by adapting a local elastoplastic model for geomaterials at a constant suction through the constitutive correspondence principle of the state-based peridynamics theory. We numerically implement this nonlocal constitutive model via the classical return-mapping algorithm of computational plasticity. We first conduct a one-dimensional compression test of a soil sample at a constant suction through the numerical model with three different values of the nonlocal variable (horizon) δ. We then present a strain localization analysis of a soil sample under the constant suction and plane strain conditions with different nonlocal variables. The numerical results show that the proposed nonlocal model can be used to simulate the inception and propagation of shear banding as well as to capture the thickness of shear bands in geomaterials at a constant suction.     

Bifurcations of thick-walled hollow cylinders of geomaterials under axisymmetric compression

This paper derives analytically the condition for the onset of diffuse mode bifurcations in thick-walled hollow cylinders with internal radius a, external radius b and length L under axial compression and confining pressure. The thick-walled cylindrical specimens are made of geomaterial characterized by Rudnicki's constitutive model, and the method of solution for the governing equations is the velocity potential approach employed by Chau. Numerical results show that thick-walled cylinders are stronger than thin-walled cylinders against diffuse mode bifurcations, including both buckling, axisymmetric and non-axisymmetric deformations. In contrast to the conclusion for solid cylinders (Chau), no buckling solution is found for γ = mπa / L smaller than about 0·7 under compression for a fixed and finite value of a / b (i.e. no buckling for long and slender hollow cylinders with small a / L and fixed b / a). When 0·7 < γ < 0·9, buckling is the expected first bifurcation; whereas, when γ > 0·9, bulging or barrelling is anticipated. The exact value of γ that excludes buckling and separates the buckling and barrelling phenomena depends on the current values of the constitutive parameters of the solid. Hollow cylinders with higher degree of anisotropy, disobeying normality flow rule, and subjected to confining pressure are more conducive to bifurcations than cylinders made of materials with isotropy, obeying normality, and subjected to no confining pressure. In addition, diffuse mode bifurcations are found possible in the pre-peak regime of the stress–strain curve. © 1998 John Wiley & Sons, Ltd.     

平流层臭氧对人类活动排放氯化物及氮氧化物的非线性响应

利用本文所建立的平流层下部臭氧异相光化学系统,研究硫酸气溶胶表面积浓度以及氯化物和氮氧化物的排放强度对系统状态的影响.光化系统由19种分别来自氧族、氢族、氮族、氯族和碳族的化学成分组成.研究结果指出,仅就气溶胶而言,它不是一个重要的决定光化系统行为的因子.然而,当它与奇氯ClOx或奇氮NOx的外源共同影响系统时,通过复杂的非线性光化学过程,它将使系统的行为发生重大变化.可以看到,在某些确定的参数范围内,系统存在多平衡态解,并构成一个“折叠"突变流型.