Bond rolling resistance and its effect on yielding of bonded granulates by DEM analyses

A discrete element modelling of bonded granulates and investigation on the bond effect on their behaviour are very important to geomechanics. This paper presents a two‐dimensional (2‐D) discrete element theory for bonded granulates with bond rolling resistance and provides a numerical investigation into the effect of bond rolling resistance on the yielding of bonded granulates. The model consists of mechanical contact models and equations governing the motion of bonded particles. The key point of the theory is that the assumption in the original bond contact model previously proposed by the authors (55th CSCE‐ASCE Conference, Hamilton, Ont., Canada, 2002; 313–320; J. Eng. Mech. (ASCE) 2005; 131 (11):1209–1213) that bonded particles are in contact at discrete points, is here replaced by a more reliable assumption that bonded particles are in contact over a width. By making the idealization that the bond contact width is continuously distributed with the normal/tangential basic elements (BE) (each BE is composed of spring, dashpot, bond, slider or divider), we establish a bond rolling contact model together with bond normal/tangential contact models, and also relate the governing equations to local equilibrium. Only one physical parameter β needs to be introduced in the theory in comparison to the original bond discrete element model. The model has been implemented into a 2‐D distinct element method code, NS2D. Using the NS2D, a total of 86 1‐D, constant stress ratio, and biaxial compressions tests have been carried out on the bonded granular samples of different densities, bonding strengths and rolling resistances. The numerical results show that: (i) the new theory predicts a larger internal friction angle, a larger yielding stress, more brittle behaviour and larger final broken contact ratio than the original bond model; (ii) the yielding stress increases nonlinearly with the increasing value of β, and (iii) the first‐yield curve (initiation of bond breakage), which define a zone of none bond breakage and which shape and size are affected by the material density, is amplified by the bond rolling resistance in analogous to that predicted by the original bond model. Copyright © 2006 John Wiley & Sons, Ltd.     

Fluid infiltration during contact metamorphism of interbedded marble and calc-silicate hornfels, Twin Lakes area, central Sierra Nevada, California

Abstract In the Twin Lakes area, central Sierra Nevada, California, most contact metamorphosed marbles contain calcite + dolomite + forsterite ± diopside ± phlogopite ± tremolite, and most calc-silicate hornfelses contain calcite + diopside + wollastonite + quartz ± anorthite ± K-feldspar ± grossular ± titanite. Mineral-fluid equilibria involving calcite + dolomite + tremolite + diopside + forsterite in two marble samples and wollastonite + anorthite + quartz + grossular in three hornfels samples record P± 3 kbar and T± 630° C. Various isobaric univariant assemblages record CO₂-H₂O fluid compositions of χCO₂= 0.61–0.74 in the marbles and χCO₂= 0.11 in the hornfelses. Assuming a siliceous dolomitic limestone protolith consisting of dolomite + quartz ° Calcite ± K-feldspar ± muscovite ± rutile, all plausible prograde reaction pathways were deduced for marble and hornfels on isobaric T-XCO₂ diagrams in the model system K₂O-CaO-MgO-Al₂O₃-SiO₂-H₂O-CO₂. Progress of the prograde reactions was estimated from measured modes and mass-balance calculations. Time-integrated fluxes of reactive fluid which infiltrated samples were computed for a temperature gradient of 150 °C/km along the fluid flow path, calculated fluid compositions, and estimated reaction progress using the mass-continuity equation. Marbles and hornfelses record values in the range 0.1–3.6 × 10⁴ cm³/cm² and 4.8–12.9 × 10⁴ cm³/cm², respectively. For an estimated duration of metamorphism of 10⁵ years, average in situ metamorphic rock permeabilities, calculated from Darcy's Law, are 0.1–8 × 10^?6 D in the marbles and 10–27 × 10^?6 D in the hornfelses. Reactive metamorphic fluids flowed up-temperature, and were preferentially channellized in hornfelses relative to the marbles. These results appear to give a general characterization of hydrothermal activity during contact metamorphism of small pendants and screens (dimensions ± 1 km or less) associated with emplacement of the Sierra Nevada batholith.     

列车荷载对平行换乘地铁车站深基坑变形影响

根据地铁车站轨道结构的特点,利用集总参数法建立了轮轨竖向耦合振动模型;分析了新建地铁车站深基坑开挖过程中既有车站内的轮轨接触荷载对车站结构及其周围土层变形的影响.通过计算分析认为,列车荷载引起的结构变形在允许值的7 %范围以内,引起的地面沉降在允许值的3 %范围以内.     

On the long-term seismic hazard analysis in the Zhangjiakou–Penglai seismotectonic zone, China

The Zhangjiakou–Penglai seismotectonic zone (ZPSZ) lies in the northern part of North China and extends along the Zhangjiakou–Beijing–Tianjin–Bohai Bay–Penglai–Yellow Sea. It is about 900 km long and some 250 km wide in a northwest direction. The great Sanhe-Pinggu (M_S=8.0) earthquake occurred on September 1679 and the Tangshan (M_S=7.8) earthquake on July 1976 caused serious economic and life losses. According to some differences in crust structure and regional tectonic stress field, the ZPSZ is divided into western and eastern segment by the 117°E line for study on long-term seismic hazard analysis. An analysis of Gutenberg–Richter's empirical relation of earthquake-frequency and time process of historic and recent earthquakes along the eastern and western segments shows that the earthquake activity obeys a Poisson process, and these calculations indicate that the earthquake occurrence probability of M_S=6.0–6.9 is 0.77–0.83 in the eastern segment and the earthquake occurrence probability of M_S=7.0–7.9 is 0.78–0.80 in the western segment of the ZPSZ during a period from 2005 to 2015.     

Field and petrological evidence for a Late Palaeozoic (Upper Carboniferous–Permian) age of the Erfaulet orthogneiss (Gran Paradiso,western Alps)

In the Gran Paradiso massif (western Alps), the boundary between the Erfaulet orthogneiss and the overlying metasediments (Money Complex) is interpreted as a Late Palaeozoic intrusive contact. Major arguments in favour of this hypothesis are: (i) the obliquity of the sedimentary layering with respect to the contact; (ii) the presence of aplitic dykes within the Money Complex; (iii) the lack of a mylonitic zone; and (iv) rare relics of an early generation of garnet in the Money metasediments, interpreted as evidence of the contact metamorphism of the Erfaulet granite. To cite this article: B. Le Bayon, M. Ballèvre, C. R. Geoscience 336 (2004).     

西藏马攸木金矿床金银互化物的赋存状态

马攸木金矿床是西藏近年发现的首例规模较大、矿石品位富、金成色高的岩金矿床.作者通过对马攸木金矿床矿石组构、矿石共生组合及矿物特征研究发现,金银互化物主要有自然金、含银自然金、银金矿、自然银.载金矿物为黝铜矿、针铁矿、脆硫锑铅矿及石英;金银互化物的赋存形式主要为包裹体金、裂隙金及粒间金.金银互化物的形成、富集与热液成矿作用及表生风化作用关系密切.     

云南个旧大白岩铜锡矿床铜锡与共伴生组分赋存状态研究

位于个旧市南部的卡房矿田大白岩铜锡矿是个旧地区重要的铜矿产出地段,共伴生锡、金、银、钨、铋等有益组分。通过光薄片鉴定、电子探针测试和人工重砂分析发现,大白岩铜锡矿铜主要赋存状态为黄铜矿,其次为银黝铜矿和黝锡矿;锡主要以锡石,黝锡矿形式存在;伴生组分钨主要为白钨矿,铋元素以辉铋矿和自然铋存在,硫主要为磁黄铁矿、黄铁矿,其次为黄铜矿等硫化物,磁黄铁矿和黄铜矿中含有微量金。     

表面接触角的测量及表面张力在宝玉石鉴定中的应用

表面张力是固体表面重要的物理化学参数之一,其大小与温度和界面两相物质的性质有关。基于Young方程的推导,使用接触角测量法计算固体表面张力已被广泛应用于表面科学和工程领域。宝玉石材料大多具有光洁的表面,在接触角测量的准确性方面较其他表面不均一的固体材料具有明显的技术优势。本文运用现代仪器(FTA200动态接触角测量仪)测量了15个天然和合成宝玉石品种(钻石、合成碳硅石、合成立方氧化锆、碧玺、托帕石、翡翠、琥珀等),以及经覆膜和充填2种处理方法的宝玉石样品(镀膜钻石、覆膜托帕石、覆膜翡翠、覆膜琥珀、充填碧玺)的表面接触角,并运用公式计算其表面张力。测试数据表明,不同品种宝玉石的接触角数值存在差异,如钻石的接触角值为56.68°,其仿制品立方氧化锆的接触角值为37.79°;覆膜处理与未经覆膜处理的天然宝玉石的接触角数值差异明显,如琥珀的接触角值为92.49°,覆膜琥珀的接触角值为66.49°;充填处理宝玉石接触角的测试由于控制液滴的大小受条件限制操作难度较大,测试结果不能准确表达为裂隙中充填物的接触角数值,故充填处理的宝石不宜采用此方法进行区分。研究表明,对于部分宝玉石品种和覆膜处理宝玉石,其表面接触角及表面张力数值差异显著,可以作为宝玉石品种的辅助鉴定依据;尤其是运用接触角的差异对于宝玉石鉴定具有较好的判别性,能够对不同品种的天然宝玉石与表面覆膜的宝玉石样品进行有效区分。与常规宝石检测方法(如红外光谱、折射率测量方法)对比,接触角测量方法具有测量准确、操作简便,不破坏样品的特点,符合宝玉石无损鉴定的基本原则,且能够安全快速地测量高折射率宝石,可以解决宝玉石表面覆膜等与表面物性相关的检测疑难问题。     

基于Bayes判别法的霜生自动化观测模型探讨

利用安徽砀山气象站的2001—2013年冬半年(10月至次年4月)的观测资料,探讨霜生与气温、地温、水汽压和风速等气象要素的相关性,并基于Bayes判别方法,采用逐步判别分析,建立多套霜生自动判别模型。结果表明：(1)霜是否出现与日最低及夜间不同观测时次的气温、地表温度显著相关,当夜间气温或地表温度越低,低于霜点的可能性越大,结霜的可能性也越大。(2)通过回算性检验和独立样本的预报性检验,基于Bayes判别法的霜生模型,对霜未发生的平均判别准确率达到86.5%,对霜发生的平均判别准确率达到92.7%,其中用日最低地温、当日07时水汽压和当日07时风速所建立的三要素模型最优,对霜发生的判别准确率可达到90%以上。因此,可以将Bayes霜生判别模型与图像识别技术相结合应用于霜的自动化观测。     

硒在干酪根中的两种不同赋存状态:TEM证据

对拉尔玛Se—Au矿床和渔塘坝硒矿床中干酪根的高分辨透射电镜(TEM)研究表明，两个矿床的Se在干酪根中的赋存状态是截然不同的。前者Se在干酪根中的富集可能主要以有机结合态的形式存在，主要是取代干酪根中的硫；而后者Se在干酪根中的富集主要以超微包体Se的形式吸附在干酪根中。两种不同的赋存状态可能主要取决于干酪根中硫含量的多少以及成矿时氧化还原条件的变化。研究表明，TEM是研究元素在干酪根中赋存状态的有效手段。