共查询到20条相似文献，搜索用时 15 毫秒
1.
A new technique has been developed for measuring the diffusion coefficient in ionic crystals. Based on Einstein's formula expressing the relation between diffusion coefficient and electric mobility, the electrical impedance of a diatomic ionic crystal is derived theoretically as a function of frequency of the applied electric field. In this method, the diffusion coefficients of both cations and anions are determined simultaneously by fitting the measured impedance to the theoretical relation. This method was applied to NaCl single crystals in the temperature range 370–780°C. The impedance was determined over the frequency range 0.01 Hz to 1 kHz, at constant temperature. The diffusion coefficients thus obtained for NaCl agree reasonably well with previous data by means of a radioactive isotope technique. The activation energies for Na+ and Cl? obtained are 1.97±0.03 eV and 2.08±0.06 eV, respectively, in the intrinsic region, and 0.92±0.02 eV and 1.06±0.02 eV in the extrinsic region. It was discovered that there are diffusion blocks of approximately 2 μm width, which obstruct free migration of ions in a single crystal. 相似文献
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Yoshiaki Ida 《Physics of the Earth and Planetary Interiors》1976,13(2):97-104
The compressibility of an individual ion is examined, in comparison with a known set of data for the alkali halides. A simple extrapolation of ionic radius to high pressure is not acceptable, because the pressure derivative of ionic radius changes for different salts. According to the classical concept of an elastic ion, the repulsive potential energy between the ions i and j is specified by the nature of each ion as: as a function of the interionic distance r. In this expression, qi and ρi are the ionic radius and ionic compressibility, respectively, in a suitably modified meaning. Such a form of the repulsive potential fits well to the data of lattice constants and bulk moduli. The parameters qi and ρi are evaluated for alkali and halogen ions, and an anion turns out to be much more compressible than a cation. The present treatment may be usefully applied to the minerals in the Earth's mantle, which contain only a few major ions. 相似文献
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两相饱和多孔介质的基本方程组和计算参数的选取在一定程度上是混乱的.本文利用连续介质力学理论,结合空间平均化方法,根据应力-应变关系、运动学关系、连续性方程及广义Darcy定律,建立了横观各向同性液体饱和多孔介质的基本方程组;通过将该基本方程组与Biot理论的基本方程组进行比较,确定了Biot方程组中的弹性常数Bi与弹性常数cij的关系,并得到了确定Biot参数mi和ri的计算公式——Biot参数与渗透率、孔隙率及黏性系数的关系;最后对几种特殊情形进行了讨论,给出了简化方程组. 相似文献
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基于结构弹性稳定理论,根据能量法推导出以位移为基本未知量的圆弧格构拱总势能,从Hamilton原理出发,建立了考虑剪切变形的圆弧格构拱的动力稳定微分方程.利用Galerkin方法将其转化为二阶常微分Mathieu型参数共振方程,求得周期解所包围的动力不稳定区域,探讨了圆弧格构拱发生参数共振的动力稳定性问题,分析了缀条面... 相似文献
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T. Melkior E.C. Gaucher C. Brouard S. Yahiaoui D. Thoby Ch. Clinard E. Ferrage D. Guyonnet C. Tournassat D. Coelho 《Journal of Hydrology》2009,370(1-4):9-20
In underground repository concepts for radioactive waste, bentonite is studied as a reference swelling material to be used as an engineered barrier. Under the changing geochemical conditions prevailing within the barrier (saturation with the fluid coming from the host formation, diffusion of various chemical plumes caused by the degradation of some constituents of the barrier-system, etc.), the surface chemistry of the clay particles could evolve. This work aims to characterize the effects of these changes on (i) the microstructure of compacted bentonite samples and (ii) the diffusion properties of HTO and Na in these samples.For this purpose, bentonite sets were equilibrated with different solutions: NaCl, CaCl2, CsCl solutions as well as an artificial clayey porewater solution. The microstructure of the different samples was characterized by HRTEM and XRD, in a water saturated state. In parallel, effective diffusion coefficients of both HTO and 22Na were measured for the different samples. The density of the bentonite in the diffusion tests and in the HRTEM observations was set at 1.6 Mg m−3.From the microstructural observations and the results of diffusion tests, it is deduced that one key parameter is the occurrence of a gel phase in the material, which is found to depend strongly on the bentonite set: the gel phase dominates in Na-bentonite, while it is lacking in Cs-bentonite. The HTO diffusion coefficients are found to be lower in the samples with high gel phase content. Sodium diffusion does not follow the same trend: when compared with HTO, Na diffuses faster when the gel phase content is high. The latter result could indicate that the “accelerated diffusion mechanism” of cations, already mentioned in the literature, is enhanced in clayey materials that contain a gel phase. 相似文献
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In the case of propagation of plane elastic waves in anisotropic gyrotropic media, Christoffel tensor is complex; its real part contains stiffnesses and an imaginary part includes components of the fifth-rank gyration tensor. Inequalities relating stiffnesses and gyration constants are derived from the conditions for potential energy to be positive. The necessary and sufficient conditions for the positive definiteness of the complex matrix of stiffnesses and gyration constants are used. Sets of inequalities are obtained for two types of rocks belonging to acentric limit groups ∞∞ and ∞. These inequalities provide a possibility to carry out modelling of elastic wave propagation in the media considered, setting the values of gyration constants not arbitrarily but in accordance with physical laws. 相似文献
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T. J. Shankland 《Surveys in Geophysics》1977,3(1):69-100
The observed systematic relations between velocities, density, and crystal structure in minerals are viewed as part of the general problem of the interactions of ions and electrons in solids. A complete explanation of these systematics would result from an adequate physical model of interactions between atoms in a crystal. For ionic models, understanding such interactions mainly requires knowledge of inter-ionic repulsive forces, which can be calculated from solutions for the electronic energy levels. The main forms of systematics developed in the last few years can be classed either as bulk modulus-molar volume (K-V
M
) or, equivalently, velocity-density (v-p) relations. Isostructural and isochemical (having constant mean atomic weight
) trends exist, and for both classes of systematics it is possible to produce semi-empirical universal expressions with the ability to predict elastic properties to a few percent. The best estimates of composition of the Earth's interior come from comparisons of mineral elastic properties with seismic data. On the basis of current velocity profiles of the Earth, the mantle appears to be chemically homogeneous. 相似文献
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The concept of seismicity of fast tensile fracturing is introduced and supported by the results of shear and of combined shear and tensile displacements along a loaded stress concentrator. The seismicity of tensile fracturing is demonstrated by means of acoustic (elastic) signals obtained during tensile fracturing in physical models under load; the basic physical relations between the parameters characterizing the loaded medium, load conditions, shear and tensile displacements, and release of acoustic energy are presented. For determining the tensile-source component in earthquakes a procedure based on the construction of radiation patterns is suggested and submitted for discussion. The criteria for selecting earthquakes with possible shear-tensile source mechanisms are listed and discussed. The existence of such a combined seismic source is sought in two shallow earthquakes which occurred in southern Iran in March 1977. In general, the paper should be regarded as a proposal to utilize the radiation characteristics of a seismic source—with all their insufficiencies—as a quick and simple tool for seeking combined shear and tensile mechanisms of seismic energy release. 相似文献
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假设横向各向同性(TI)介质的对称轴是垂直的(VTI)或者水平的(HTI)能给实际资料处理带来便利,然而实际TI介质的对称轴往往是倾斜的(TTI),忽略对称轴倾角可能给各向异性参数提取和成像带来偏差,因此需要研究是否能、以及什么条件下能忽略TTI介质对称轴倾角.本文通过理论研究和数值分析研究了与TTI介质弹性性质最接近的VTI介质(OAVTI)的弹性常数和各向异性参数与原TTI介质的弹性常数和各向异性参数之间的联系与差别.结果表明:OAVTI介质各向异性参数与原TTI介质各向异性参数之间的差别可统一表示成F(α0/β0,ε,δ,γ)ξ2的形式,其中F(α0/β0,ε,δ,γ)是无量纲各向异性参数(ε, δ, γ)的线性函数,ξ是对称轴倾角;ξ的大小对各参数的误差起主导作用,一般不建议忽略20°~25°以上的对称轴倾角;当ξ较小时,即使是对强各向异性的TTI介质作VTI近似,引起的P波各向异性参数误差也很小,因此在纵波资料处理中忽略TTI介质对称轴倾角通常是可行的;即使在小ξ条件下,倾斜对称轴对SV波也有显著影响,因此在转换波资料处理中,不建议忽略TTI介质的对称轴倾角.本文的研究为分析忽略TTI介质对称轴倾角的可行性提供了理论依据和简便的判据. 相似文献
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K.P. Thakur 《Physics of the Earth and Planetary Interiors》1982,27(4):235-248
Expanding energy as a function of volume in a Taylor series and taking the Padé approximant, different equations of state have been obtained, which are first tested with Born-Mayer and logarithmic model solids. These equations of state are applied to compute pressure, compressibility and the Moelwyn-Hughes parameter as functions of volume for NaCl, AgCl and CsCl crystals. The results agree fairly well with the observed data. 相似文献
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The expressions for second (SOE) and third order elastic (TOE) constants for rare gas solids are derived for comparative study of elastic behavior within the framework of many body potentials including the effect of pressure. The derived expressions are used to obtain the relations for pressure derivatives of bulk and shear moduli of RGS solids. The values of SOE, TOE constants and pressure derivative of bulk and shear modulus for Ne up to 100 GPa, Ar up to 75 GPa, for Kr up to 136 GPa and Xe up to 53.4 GPa... 相似文献
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论述了地壳介质中存在的各类向异性及其弹性本构关系,推导了应变能变换公式、ＥＤＡ薄层各向异性弹性常数及非对称面上ＥＤＡ构成的单斜对称弹性常数的计算公式;讨论了几种各向异性对称系统的本征方程并给出了弹性波的角散表达式,最后选取合理的参数对波的角散现象作了数值模拟。 相似文献
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Clays and claystones are used as backfill and barrier materials in the design of waste repositories, because they act as hydraulic barriers and retain contaminants. Transport through such barriers occurs mainly by molecular diffusion. There is thus an interest to relate the diffusion properties of clays to their structural properties. In previous work, we have developed a concept for up-scaling pore-scale molecular diffusion coefficients using a grid-based model for the sample pore structure. Here we present an operational algorithm which can generate such model pore structures of polymineral materials. The obtained pore maps match the rock’s mineralogical components and its macroscopic properties such as porosity, grain and pore size distributions. Representative ensembles of grains in 2D or 3D are created by a lattice Monte Carlo (MC) method, which minimizes the interfacial energy of grains starting from an initial grain distribution. Pores are generated at grain boundaries and/or within grains. The method is general and allows to generate anisotropic structures with grains of approximately predetermined shapes, or with mixtures of different grain types. A specific focus of this study was on the simulation of clay-like materials. The generated clay pore maps were then used to derive upscaled effective diffusion coefficients for non-sorbing tracers using a homogenization technique. The large number of generated maps allowed to check the relations between micro-structural features of clays and their effective transport parameters, as is required to explain and extrapolate experimental diffusion results. As examples, we present a set of 2D and 3D simulations and investigated the effects of nanopores within particles (interlayer pores) and micropores between particles. Archie’s simple power law is followed in systems with only micropores. When nanopores are present, additional parameters are required; the data reveal that effective diffusion coefficients could be described by a sum of two power functions, related to the micro- and nanoporosity. We further used the model to investigate the relationships between particle orientation and effective transport properties of the sample. 相似文献
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The potential to remove Ni(II) ions from aqueous solutions using sea beach sand, a carbonate‐quartz mineral, was thoroughly investigated. The effects of relevant parameters such as solution pH, adsorbent dose, metal ions concentration, and temperature on Ni(II) sorption onto beach sand were examined. The sorption data followed the Langmuir, Freundlich and Dubinin‐Radushkevich (D‐R) isotherms. The adsorption was endothermic in nature at ambient temperature and the computation of the parameters, ΔH, ΔS and ΔG indicated the interactions between sorbate and sorbent to be thermodynamically favorable. Equilibrium was achieved very quickly within 30 min of shaking. A pseudo‐first order Lagergren equation was used to test the adsorption kinetics. Other kinetic models, e. g., the Morris‐Weber and Reichenberg equations, were used to calculate the rate constant of intraparticle diffusion and the fate of the diffusion process, respectively. The influence of some of the common cations and anions were also a subject of this study. 相似文献
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Source spectra,corner frequency and zero frequency amplitudes in near-source conditions were measured using waveform data from 989 earthquakes with magnitudes larger than ML2.0 observed by the Beijing Digital Telemetry Seismic Network in the Capital Circle Region of China and its surrounding areas from January 2002 to June 2006 by the Brune model.Relevant formulas that were used for the calculation of dynamic source parameters include rupture radius,seismic moment,seismic energy,stress drop,and apparent stress.Scaling relations and characteristics of temporal-spatial variations of these dynamic parameters before the MS5.1 Wenan earthquake in Hebei Province that occurred on July 20,2006 were analyzed.Results show that apparent stress,stress drop,and the ratio of seismic energy to the rupture radius had relatively high values in some areas before the Wenan earthquake.These high-value concentration areas were mainly distributed in the North China Plain seismic zone.As is seen from the time curves,parameters,such as apparent stress,stress drop,and ratio of seismic energy to rupture radius underwent significant ascending processes before the Wenan earthquake,but the variation in the corner frequency showed a descending trend.This result might be related to the enhancement of stress in the North China Plain seismic zone before the earthquake. 相似文献
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使用广西数字地震台网记录的2013年6月-7月广西平果ML1.0-3.0震群162次地震波形资料,采用Brune（1970）模型,通过几何扩散校正、介质衰减校正、仪器校正等,将速度记录谱归算为震源位移谱,利用遗传算法计算拐角频率及零频极限,然后计算地震矩、应力降等小震震源参数,系统分析各参数之间的关系.研究表明：近震震级、地震矩、震源破裂半径、拐角频率、应力降等之间可以拟合为对数或半对数的线性关系;地震应力降、视应力与震源破裂半径没有明显的依赖关系,但与地震矩成正相关关系;与其他地区的同类研究结果基本一致,获得各参数的定标关系相近,尤其是通过最小二乘法拟合应力降与地震矩之间的关系后,与浙江珊溪水库地区的应力降与地震矩之间的关系有很强的一致性;与其他地区的应力降及视应力降相比较,本研究区属于低应力释放地区,但由于此次研究的地震事件时间跨度较短,且时间段比较集中,对该地区的应力释放水平还需跟踪研究. 相似文献
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在钻孔应变观测的实际标定分析中,一般是通过对钻孔应变观测资料采用固体潮调和分析的方法直接获得钻孔面应变耦合系数,该方法未能充分反映观测的钻孔应变与地层应变之间的内在联系。本文基于“地层-等效弹性层-水泥环-钢筒”四层耦合介质钻孔模型,利用TJ-2C型体应变仪器的测量钢筒内外径和弹性参数、钻孔半径以及水泥环弹性参数,给出不同地层中钻孔耦合系数与钻孔等效弹性层弹性模量之间的变化关系。对我国现有运行的40多套TJ-2C型钻孔体应变观测资料的分析表明,潮汐因子分布范围在0.01至1.86之间,基岩为花岗岩类的潮汐因子均值为0.83,基岩为灰岩或砂岩类的潮汐因子均值为0.57,即硬地层中的潮汐因子高于软地层。基于对该四层模型探讨发现,等效弹性层的等效弹性模量大小反映了钻孔的耦合状态,对于同类型基岩地层,探头与地层耦合不佳将导致其等效弹性层弹性模量下降,进而导致钻孔潮汐因子下降。本文以砂岩弹性模量0.5 GPa作为判定钻孔耦合状态的下限,即认为等效弹性模量低于0.5 GPa时钻孔处于脱耦状态,统计结果表明我国现有钻孔体应变观测中有约30%的钻孔处于脱耦状态,这一研究结果对预报人员应用这些钻孔资料开展地震分析预报工作有重要指导意义。 相似文献