论铀镭平衡问题

铀镭平衡系数是表征铀矿样品铀镭平衡状态的物理参数,对准确估算矿区的铀资源量,评价研究区的铀成矿潜力具有重要意义。本文从铀镭平衡系数的定义和计算方法出发,讨论了铀镭平衡系数在铀矿勘查过程中的作用和影响,以及不同类型铀矿床的铀镭平衡系数特征,强调造成铀镭不平衡的本质是在铀系的1个平衡周期内（约1.9 Ma）,发生了铀或镭的再分配,并分析了可能造成样品偏铀或偏镭的原因。     

加筋土边坡稳定性分析的水平条分法

加筋土是一种新型的经济可靠的边坡加固方式。针对新型加筋土边坡带来的问题和基于垂直条块划分的极限平衡方法的不足,提出了一种严格满足力与力矩的平衡的极限平衡分析方法。基于水平条块的严格条分法将滑体水平的划分成若干条块,边坡中的加筋材料产生的抗力作为附加外力作用于条块上,再应用极限平衡的思想和假设对典型条块的受力状态进行分析。根据极限平衡条件推导了边坡安全系数的隐式表达式,再通过力矩的平衡,求解条间力待定系数,进而叠代求解安全系数。说明了利用本文公式计算坡顶极限承载力的方法。该方法计算结果较经典极限平衡法结果稍大。     

Standard states for the activities of mineral surface sites and species

A standard state commonly used for the activities of surface sites and surface species is the hypothetical 1.0 Molar standard state, which is implied by the use of molarity-based equilibrium constants. An undesirable practical consequence is that the magnitudes of such equilibrium constants are directly dependent on properties of the solid sorbent such as the site density and surface area. For reactions forming binuclear complexes, the magnitudes of the equilibrium constants even depend on the amount of solid. Although widely used, such equilibrium constants cannot be directly compared with each other without correction for differences in the properties or the amount of the solid. In the present study, new more general and useful standard states are proposed, leading to equilibrium constants independent of the surface area, site density, and the amount of the solid sorbent. Analytical relationships between the old and the new standard states enable conversion of equilibrium constants from one standard state to the other. These results have implications for several different types of surface complexation studies, including studies that correlate and compare equilibrium adsorption constants for different solids, sensitivity-analysis studies of the fitting of surface charge data as functions of pH and ionic strength, and studies employing correlations involving aqueous equilibrium constants for the purpose of predicting equilibrium constants for surface reactions.     

基于力平衡的安全系数统一求解格式

基于力平衡求解安全系数的极限平衡条分法在边稳定分析和设计中得到了广泛地应用。然而,由于条间力假设的不同,各种方法的计算格式也不同,既不便于程序的编写,也不便于人们理解各自方法的优缺点。首次将现有基于力平衡求解安全系数的极限平衡条分法对条间力的假定表示成统一形式,根据力的平衡,导出了简单明了的条间力递推方程。根据条间力递推方程,建立了传统意义下基于力平衡的安全系数统一求解格式,使计算原理更为清晰,计算过程更为简单。在此基础上,如果将严格Janbu法所满足的条块力矩平衡方程表示成条间力的假定,严格Janbu法也可采用基于力平衡的安全系数统一求解格式。     

极限平衡条件的拓展与土工结构稳定分析

与土体稳定有关的工程问题诸如挡土结构物上的土压力、地基承载力以及土坡稳定性都与土的极限平衡状态相关 联。将土体一点（单元）的极限平衡条件推广,给出土体沿滑动面的极限平衡条件,证明了该条件的充分必要性。依据该条件,提出了有限元应力分析与极限平衡结合的有限元极限平衡法及土体稳定的安全系数,并明确了安全系数的物理意义,以评价土工结构的稳定性。随后,列举了该方法在土工结构稳定分析中的一些具有代表性的应用,证明了该法是有效的,可以用于分析岩土工程中的稳定问题。     

Pressure and equilibrium in deforming rocks

It is widely proposed that tectonic pressure (the difference between the mean stress and the pressure arising from a lithostatic load) is large, and has a significant influence on mineral phase equilibria in deforming metamorphic rocks. The implication/assertion is that the mean stress is equivalent to the thermodynamic pressure which characterizes mineral phase equilibria and is a measure of how the energy changes as the volume changes. We distinguish two useful thermodynamic pressures. The first is an equilibrium thermodynamic pressure, characteristic of non‐dissipative systems and related directly to equilibrium values of the chemical potentials that define stable, equilibrium phase assemblages. The second is a non‐equilibrium thermodynamic pressure characteristic of dissipative systems with zero net entropy production and related to non‐equilibrium chemical potentials that define stable non‐equilibrium phase assemblages. In many dissipative metamorphic systems discussed in the literature, the concepts of thermodynamic pressure and chemical potential are not usefully defined because the system is not at equilibrium and/or no volume change is involved in the deformation. The conclusion of this note is that the influence of tectonic pressure on phase equilibria is minor. The role of tectonic pressure is an important issue but is only relevant to phase equilibrium when an equilibrium thermodynamic pressure can be defined; in such cases, the influence of tectonic pressure is small compared to many proposals in the literature. Except for elastic deformations, the mean stress is not useful in discussing mineral phase equilibrium.     

几个与温度有关的平衡关系式的简便推导

本文讨论了几个温度影响平衡的关系式，认为应用杂平衡常数的概念，可以把它们归结为温度对平衡常数的影响，从而使有关公式的推导更简捷明快。并从动力学和统计热力学的角度，推导出温度对平衡常数影响的关系式，指出上述影响的根源是温度影响粒子在能级中的玻兹曼分布     

基于离散元法对边坡二维极限平衡法的探讨

边坡稳定性分析的极限平衡法是要做一定假设的。本文考虑了离散元与极限平衡法基于刚体理论的相似性,用离散元法计算出极限平衡法中的各个计算分量值,然后代入到常用极限平衡法中分析计算,根据离散元法的计算结果讨论了各极限平衡法中各种假设的合理性,为极限平衡法的计算提供了一个新思路。结果表明Bishop法与离散元法的计算结果比较接近,是本文经过离散元法计算后所推荐使用的方法。     

Application of discontinuous deformation analysis on stability analysis of slopes and underground power houses

Continuous computation and limit equilibrium computation are the two independent computations for practical rock engineering. For global stability analysis, limit equilibrium is still the fundamental method. For any numerical method, reaching limit equilibrium requires large displacements, discontinuous contacts, precise friction law, multistep computation and stabilised time-step dynamic computation. Therefore three convergences are unavoidable: convergence of equilibrium equations, convergence of open-close iterations for contacts and convergence of the contact forces of dynamic computations. This paper utilises mainly two dimensional discontinuous deformation analysis (DDA) and an available simple version of three dimensional DDA. The applications show DDA has the ability to reach the limit equilibrium of block systems.     

Analysis of Equilibrium in Garnet-Biotite-Sillimanite Gneisses from Quebec

An analysis is presented of equilibrium in six specimens ofgarnet—biotite—sillimanite—plagioclase—potashfeldspar—quartz ... gneiss from a metamorphic terrainin south-western Quebec. A nearly uniform Ti content of biotite may be accounted forby an equilibrium (a) involving biotite, sillimanite, quartz,garnet, potash feldspar, and H₂O. The nature of the distributionof Fe and Mg between garnet and biotite may be accounted forby another equilibrium (b) involving the same mineral suite,or by a simple exchange equilibrium (c) involving only garnetand biotite. The distribution of Mn between garnet and biotiteis accounted for by an exchange equilibrium (d). A nearly uniformvalue of the ratio Ca content of plagioclase/Ca content of garnetmay be accounted for by an equilibrium (e) involving plagioclase,garnet, sillimanite, and quartz. A proposed equilibrium (f)involving biotite, quartz, ilmenite, potash feldspar, sillimanite,and H₂O conflicts with equilibrium (a) and was evidently notestablished in the gneisses. The factors governing the Ca contentof biotite remain largely unknown. Some of these equilibria form potential indicators of relativegeologic temperature, pressure, and chemical potential of H₂O.     

铀镭平衡系数的表达式及其应用

本文对放射性平衡破坏的几种可能情况给出了新的平衡系数表达式。应用该式解释了某些铀镭平衡破坏现象以及平衡系数随铀含量增加而下降的规律。根据符号系数和平衡系数的新表达式及该系数随铀含量增加而下降的规律的综合分析,可推断矿石所处的地质环境和铀矿化富集的有利程度,从而扩大了平衡系数的应用范围。     

Response of sand ripples to change in oscillatory flow

Ripples take time to evolve to a new equilibrium state in response to a change in wave-generated oscillatory flow. The paper presents results from flow tunnel experiments designed to examine oscillatory flow transient ripple processes under controlled, full-scale laboratory conditions. The experiments include study of the growth of ripples from flat bed and the evolution of existing ripples to new equilibrium ripples in response to a step change in the flow. In general, ripples evolve through a combination of two main processes: (i) from a flat bed or from a bed consisting of ripples that are smaller than the equilibrium ripples through a combination of 'slide' and 'merge'; (ii) from a bed consisting of ripples that are larger than the equilibrium ripples through a combination of 'split' and 'merge'. The experimental results show that equilibrium ripple geometry is independent of initial bed morphology while the time to reach equilibrium is largely independent of the initial bed and the equilibrium ripple size. The time to reach equilibrium depends strongly on the mobility number, and a new empirical equation relating mobility number and the number of flow cycles to equilibrium is proposed. This equation is combined with a simple exponential function for ripple height growth or decay to produce a new empirical model for ripple height evolution, which gives a reasonably good overall agreement with the measurements. The model is based on experiments involving one sediment size only and further work is needed to develop the model for other sand sizes.     

三维极限平衡法通用形式的建立及应用

在满足边坡整体力平衡、力矩平衡以及边坡微条柱力平衡的条件下,提出了一个综合各种三维极限平衡法的通用形式,该通用形式包含3个表达式。通过这3个表达式利用已有方法的假定条件就可以得到原方法的表达形式,并将他们解析化,不仅大大降低了传统三维极限平衡法的计算工作量,还使得具体实现各种方法时,编程变得更方便,计算更简便,提高了计算效率。最后,通过经典算例,利用通用形式导出的各种方法的解析形式,分析了滑体宽度、滑面强度参数以及滑面剪切力方向对稳定系数的影响。结果表明,该通用形式是正确有效的。     

土体极限分析的基本方程与广义极限平衡法

对屈服条件与屈服函数的极值条件进行了讨论,在不需要流动法则的情况下建立了速度方程。平衡方程、屈服条件与屈服函数的极值条件、速度方程就是土体极限分析的基本方程。这样,对荷载、速度边界条件（包括荷载与速度边界同时存在）,均构成了完备的极限平衡问题。对边坡稳定问题的上、下限定理给出了严密的证明,并建立了求解极限平衡问题的广义极限平衡法,均质土的计算结果表明,圆弧滑动面的广义极限平衡法与对数螺旋面的上限解法基本一致。     

Equilibration Scales in Silicic to Intermediate Magmas Implications for Experimental Studies

Experimental phase equilibrium studies are increasingly beingused for the determination of intensive variables (P, T, fH₂O,fO₂ ) in silicic to intermediate magmas. In contrast, silicicigneous bodies are now perceived as open, periodically recharged,systems involving only limited chemical equilibration. Thus,the use of laboratory-determined crystal–liquid equilibriumdata needs clarification. Here we review the field, petrologicaland geochemical evidence concerning states and scales of chemicalequilibrium in silicic magma bodies. It is concluded that totalchemical equilibrium is generally not the rule. However, a subsystemin local equilibrium (the reactive magma) can be identified.Equilibration scales in silicic magmas are rate-limited eitherby diffusive flux in crystals (DICL regime) or by diffusiveflux in the melt (MD regime). The recognition that equilibriumin magmas is limited to a reactive subsystem requires phaseequilibrium studies to be chemically scaled. Experiments, eitherof total or partial equilibrium type, should aim at a closereproduction of equilibrium states specific to natural systems.The laboratory reconstruction of the natural equilibrium statesguarantees a precise determination of the pre-eruptive parametersand a reliable application of the experimental data to activevolcanic systems. KEY WORDS: silicic magmas; chemical equilibrium; timescales; experimental studies     

Chemical evolution of waters during long term interaction with granitic rocks in northern Switzerland

As part of an assessment of crystalline rock as a potential host for a nuclear waste repository, water samples were collected from more than 50 locations from the crystalline basement where it is under sedimentary cover in Northern Switzerland and where it is at the surface in the Black Forest. These samples describe the changing chemistry of water in an extended flow system from dilute recharge waters far from chemical equilibrium with its host rock to saline waters at temperatures of 50 to 100°C with residence times far in excess of 105 a that have reached chemical equilibrium with their host rock.This unique set of samples allows an analysis of the chemical evolution of granitic waters from surficial waters far from equilibrium to almost equilibrated waters. Mobile ions, rare gases and isotopic data are used to estimate the extent of reaction between waters and their host rock. The evolution of controlled elements is interpreted as a function of this extent of reaction. Silica contents correspond to approximate equilibrium even in the recharge waters. The relative concentrations of Ca and especially Mg are significantly lower in the borehole waters than in recharge waters indicating a trend towards equilibrium. The Na/K ratios correspond to equilibrium only in the most evolved, older, waters which are shown to be at full equilibrium.     

边坡三维极限平衡法的通用形式

基于以下假定条件:(1) 稳定系数定义为材料的强度折减系数;(2) 土体为刚体,底滑面服从Mohr-Columb强度破坏准则;(3) 微条柱底部法向力dNz的作用点处于条柱底部中点;(4)滑面剪力与底滑面和xoz平面交线的夹角为。本文建立了边坡三维极限平衡法的通用形式,通过给定不同的限制条件,可分别得到三维普通条分法 、三维简化毕肖普法 、三维简化简布法 、三维Spencer法 等三维极限平衡的具体算法。     

Metathesis in the generation of low-temperature gas in marine shales

The recent report of low-temperature catalytic gas from marine shales took on additional significance with the subsequent disclosure of natural gas and low-temperature gas at or near thermodynamic equilibrium in methane, ethane, and propane. It is important because thermal cracking, the presumed source of natural gas, cannot generate these hydrocarbons at equilibrium nor can it bring them to equilibrium over geologic time. The source of equilibrium and the source of natural gas are either the same (generation under equilibrium control) or closely associated. Here we report the catalytic interconversion of hydrocarbons (metathesis) as the source of equilibrium in experiments with Cretaceous Mowry shale at 100°C. Focus was on two metathetic equilibria: methane, ethane, and propane, reported earlier, Q (K = [(C₁)*(C₃)]/[(C₂)²]), and between these hydrocarbons and n-butane, Q* (K = [(C₁)*(n-C₄)]/[(C₂)*(C₃)]), reported here for the first time. Two observations stand out. Initial hydrocarbon products are near equilibrium and have maximum average molecular weights (AMW). Over time, products fall from equilibrium and AMW in concert. It is consistent with metathesis splitting olefin intermediates [C_n] to smaller intermediates (fission) as gas generation creates open catalytic sites ([ ]): [C_n] + [ ] → [C_n-m] + [C_m]. Fission rates increasing exponentially with olefin molecular weight could contribute to these effects. AMW would fall over time, and selective fission of [C₃] and [n-C₄] would draw Q and Q* from equilibrium. The results support metathesis as the source of thermodynamic equilibrium in natural gas.     

地球化学平衡的理论和计算

本文系统地回顾了多相组分化学平衡的理论基础和计算方法，重点分析了当今流行的平衡常数法和自由能量小法的异同，证明了这些方法在原则上的同一性同时也证明了反应平衡常数和物种自由能之间的可互换怀，并指出了互换的方法。     

耕地总量动态平衡探索——以山东省平邑县为例

耕地总量动态平衡是我国目前耕地保护的重要组成部分,它与我国社会经济发展战略密切相关。该文分析了当前耕地总量动态平衡政策内涵及在现实中存在的若干问题,通过对平邑县耕地总量动态平衡实施情况的调研分析,对目前耕地总量和动态平衡的完善和实施政策提出了若干建议。