Analytical solutions for Euler–Bernoulli beam on visco‐elastic foundation subjected to moving load

Analytical solutions for the steady‐state response of an infinite beam resting on a visco‐elastic foundation and subjected to a concentrated load moving with a constant velocity are developed in this paper. The beam responses investigated are deflection, bending moment, shear force and contact pressure. The mechanical resistance of the foundation is modeled using two parameters k_s and t_s — k_s accounts for soil resistance due to compressive strains in the soil and t_s accounts for the resistance due to shear strains. Since this model represents the ground behavior more accurately than the Winkler spring model, the developed solutions produce beam responses that are closer to reality than those obtained using the existing solutions for Winkler model. The dynamic beam responses depend on the damping present in the system and on the velocity of the moving load. Based on the study, dynamic amplification curves are developed for beam deflection. Such amplification curves for deflection, bending moment, shear force and contact pressure can be developed for any beam‐foundation system and can be used in design. Copyright © 2012 John Wiley & Sons, Ltd.     

Evaluation of one-dimensional in situ leaching processes

A methodology to characterizing processes of in situ leaching is developed to investigate various parameters that may affect the recovery of a valuable mineral and assure a successful application of the in situ leaching technology. The governing equations of in situ leaching processes for the one-dimensional case are solved both analytically and numerically for both the consumption rate of a lixiviant and the production rate of a target mineral. A numerical simulator, which is developed to evaluate coupled effects among leaching kinetics, solution flow and transport of the dissolved mineral species in saturated ore deposits, is validated against the steady-state solutions and applied to investigate the transient effects of various parameters on the mineral recovery. Results from the evaluation indicate that there exists an optimal flow velocity range of leach solution for the effective leaching of a particular ore deposit. The determination of this optimal leaching velocity may become a key to the design of a real in situ leach mine. Results of the parameter sensitivity study illustrate the relative importance of other parameters such as porosity, ore grade, and reaction rate. Copyright © 1999 John Wiley & Sons, Ltd.     

Infiltration in unsaturated soils – An analytical approach

An approximate analytical solution has been established for the well known Richards’ equation for unsaturated flow of transports in soils. Despite the importance of Richards’ equation in geotechnical and geoenvironmental applications, most solutions to the problem are generally based on numerical methods often having limitations in application. It is therefore advantageous to explore analytical solutions to the problem. The proposed solution is based on homotopy analysis method (HAM). The method is superior over traditional perturbation techniques in a sense that it is not dependent on the assumption of a small parameter as the initial step. Several simple cases have been explored to describe the application of HAM to Richards’ equation. The results obtained by HAM are also compared with existing solutions to demonstrate the accuracy of the proposed method.     

Effect of some additives on synthesis of zeolite from coal fly ash

Hydrothermal conversion of fly ash into zeolites was conducted and the effects of the addition of sodium halide and waste solutions produced after zeolitization of fly ash, as well as the adjustment of the Si/Al ratio prior to synthesis process on the formation and cation exchange capacity (CEC) of zeolite product were evaluated. Both the addition of NaCl and NaF ameliorated the crystallinity and CEC of synthesized zeolite, but NaF had a better improvement effect. Na⁺ was considered to enhance the crystallization of zeolite, while F⁻ favored the dissolution of fly ash. The type of zeolite formed depended on the Si/Al ratio of the starting material prior to the nucleation and crystallization of zeolite. The adjustment of the Si/Al ratio of fly ash by addition of Na₂SiO₄ and Al(OH)₃ changed the type and CEC of zeolite. Waste solutions contained large amount of Si and little Al due to the formation of a zeolite named NaP1 in zeolite terminology with the Joint Committee of Powder Diffraction Standard (JCPDS) code of 39-0219. The alkalinity decreased largely. As a result, the CEC value of zeolite products synthesized with waste solution as alkali source decreased. The supplementation of new alkali to adjust the alkalinity of waste solution could enhance the CEC of synthesized product. It was concluded that: (1) addition of sodium halide and adjustment of the Si/Al ratio prior to synthesis can improve the quality of zeolite; (2) waste solutions produced following the zeolitization of fly ash can be reused as an alkali source in the activation of fly ash; zero-emission of waste solution in the synthesis of zeolite from fly ash is possible.     

若尔盖铀矿床含矿热液性质的热力学研究

作者利用热力学方法研究了若尔盖铀矿床含矿热液的特性。研究结果表明，初始含矿热液具有高温高压性质，来源于深部，而不是大气降水或由大气降水成因的地下水，随着含矿热液的演化，从早阶段到晚阶段，其温度、压力、碱度及氧逸度降低，而氧化还原电位升高，说明铀在相对还原条件下迁移，而在相对氧化的成矿环境中被还原。     

埋设地下光缆对武都地电影响的分析

着重探讨武都地电台测区埋设地下光缆后北西道地电阻率测值急剧上升的原因.通过实际观测、理论分析和实验,总结出了这种变化的机制,定量地解释了埋设地下光缆对地电观测的影响,从而为以后判断地电测值变化是干扰还是地震异常提供了依据.     

A new solution for a partially penetrating constant‐rate pumping well with a finite‐thickness skin

A mathematical model describing the constant pumping is developed for a partially penetrating well in a heterogeneous aquifer system. The Laplace‐domain solution for the model is derived by applying the Laplace transforms with respect to time and the finite Fourier cosine transforms with respect to vertical co‐ordinates. This solution is used to produce the curves of dimensionless drawdown versus dimensionless time to investigate the influences of the patch zone and well partial penetration on the drawdown distributions. The results show that the dimensionless drawdown depends on the hydraulic properties of the patch and formation zones. The effect of a partially penetrating well on the drawdown with a negative patch zone is larger than that with a positive patch zone. For a single‐zone aquifer case, neglecting the effect of a well radius will give significant error in estimating dimensionless drawdown, especially when dimensionless distance is small. The dimensionless drawdown curves for cases with and without considering the well radius approach the Hantush equation (Advances in Hydroscience. Academic Press: New York, 1964) at large time and/or large distance away from a test well. Copyright © 2007 John Wiley & Sons, Ltd.     

Composite analytical solutions for a soil vapour extraction system

Soil vapour extraction (SVE) is a common remediation technique for cleaning up unsaturated soils contaminated by volatile organic compounds (VOCs). Analytical solutions, which result from simple mathematical models, can allow the fast approximation of the time‐dependent effluent concentration and the gaining of insight into the processes that take place during soil remediation. Deriving the analytical solutions to advection–dispersion equations that simultaneously take into account the mechanical dispersion and molecular diffusion is very difficult because of the variable dependence of governing equations' coefficients. In this study, we first present two simplified analytical solutions that only consider mechanical dispersion or molecular diffusion. The two developed analytical solutions are compared with the numerical solution that simultaneously considers both mechanical dispersion and molecular diffusion to examine the applicability of the two simplified analytical solutions and distinguishes the individual contribution of the mechanical dispersion and molecular diffusion to total VOCs transport in an SVE system. Results show that dispersion plays an important role during SVE decontamination and neither the diffusion‐dominated solution nor the dispersion‐dominated solution can agree well with the numerical solution when both mechanical dispersion and molecular diffusion have significant contributions to the total VOCs transport flux. A composite analytical solution that linearly couples the diffusion‐ and dispersion‐dominated analytical solutions, which is proposed herein to eliminate the discrepancy between the analytical solutions and the numerical solution. Results indicate that the proposed composite analytical solution agrees well with the numerical solution and is an effective tool for quickly and accurately evaluating the time‐dependent effluent concentration for parameters of the different ranges of interest in an SVE remedial system. Copyright © 2006 John Wiley & Sons, Ltd.     

实验研究岩石圈深部流体及相关科学问题

实验研究地球岩石圈深部流体和对地球深部流体的观测发现,水溶液在跨越临界态时有许多特殊性质.使用水热金刚石压钻在200~800 MPa,300~700℃条件下,可观测到NaCl-H2O溶液两相不混溶相区的结构和近临界态现象.测量高温高压下NaCl溶液的电导率,在近临界和跨越临界态时发现最大电导率值.在对大洋中脊热水观测中可发现大多数喷口是在2200m深.喷口正在近临界态条件下喷出含矿流体.这些临界态研究对于重新分析岩石圈的地球物理测量结果和对认识大陆岩石圈内流体性质有很大意义.     

2012 年6 月30 日新疆新源-和静MS 6. 6地震序列震源机制解

利用CAP方法反演了2012年6月30日新源-和静Ms6.6地震序列震源机制解.反演得到Ms6.6地震节面Ⅰ的参数为:走向299°,倾角68°,滑动角164°;节面Ⅱ的参数为:走向35°,倾角75°,滑动角23°;P轴方位角166°,倾角5°,T轴方位角258°,倾角26°;矩震级Mw为6.3;矩心深度为21km.此次地震序列破裂优势方向为NWW,倾角以60°～90°为主,滑动角以±180°±30°为主;P轴方位的优势取向为近NS向,T轴优势取向为近EW向.初步分析表明,主震节面Ⅰ为发震断层,是走向为NWW、近乎直立的左旋走滑断层.此次6.6级地震震源断错性质和主压应力方向以及序列P轴优势方位与震源区周围构造应力场特征基本一致.