Bias estimation and correction for triangle-based surface area calculations

The calculation of surface area is meaningful for a variety of space-filling phenomena, e.g., the packing of plants or animals within an area of land. With Digital Elevation Model (DEM) data we can calculate the surface area by using a continuous surface model, such as by the Triangulated Irregular Network (TIN). However, just as the triangle-based surface area discussed in this paper, the surface area is generally biased because it is a nonlinear mapping about the DEM data which contain measurement errors. To reduce the bias in the surface area, we propose a second-order bias correction by applying nonlinear error propagation to the triangle-based surface area. This process reveals that the random errors in the DEM data result in a bias in the triangle-based surface area while the systematic errors in the DEM data can be reduced by using the height differences. The bias is theoretically given by a probability integral which can be approximated by numerical approaches including the numerical integral and the Monte Carlo method; but these approaches need a theoretical distribution assumption about the DEM measurement errors, and have a very high computational cost. In most cases, we only have variance information on the measurement errors; thus, a bias estimation based on nonlinear error propagation is proposed. Based on the second-order bias estimation proposed, the variance of the surface area can be improved immediately by removing the bias from the original variance estimation. The main results are verified by the Monte Carlo method and by the numerical integral. They show that an unbiased surface area can be obtained by removing the proposed bias estimation from the triangle-based surface area originally calculated from the DEM data.     

Optimal routing for waste collection: a case study in Singapore

ABSTRACT

To collect and dispose growing amounts of municipal solid waste (MSW) changed to be a hot topic along with the rapid urbanization in past decades. Cities are more and more dependent on the incineration instead of landfilling due to the cost-efficiency and environmental concerns. Considering the limited number of incineration plants and complicated situation of transportation in both spatial and temporal dimensions in different cities, the optimal routing for waste collection turns to be meaningful research topic. In this research, the ant colony optimization (ACO)-based multi-objective routing model coupled with min-max model and Dijkstra’s algorithm is proposed to address the question of which route to take from these waste-generating points to the target incineration plant(s) considering travel time, accident probability (black spots), and population exposure, so as to support the routing decision-making. The model is successfully implemented in Singapore and the effectiveness of the model has also been justified. Besides, few limitations of this research have also been discussed, some of which would also be the future directions of our research, especially the design and integration of a web-based routing decision-making support system.     

The modeled atmospheric and oceanic response to the South China Sea SST anomaly

The sensitivity of the global atmospheric and oceanic response to sea surface temperature anomaly (SSTA) throughout the South China Sea (SCS) is investigated using the Fast Ocean-Atmosphere Model (FOAM). Forced by a warming SST, the experiment explicitly demonstrates that the responses of surface air temperature (SAT) and SST exhibit positive anomalous center over SCS and negative anomalous center over the Northern Pacific Ocean (NPO). The atmospheric response to the warm SST anomalies is characterized by a barotropical anomaly in middle-latitude, leading to a weak subtropical high in summer and a weak Aleutian low in winter. Accordingly, Indian monsoon and eastern Asian monsoon strengthen in summer but weaken in winter as a result of wind convergence owing to the warm SST. It is worth noting that the abnormal signals propagate poleward and eastward away in the form of Rossby Waves from the forcing region, which induces high pressure anomaly. Owing to action of the wind-driven circulation, an anomalous anti-cyclonic circulation is induced with a primary southward current in the upper ocean. An obvious cooling appears over the North Pacific, which can be explained by anomalous meridional cold advection and mixing as shown in the analysises of heat budget and other factors that affect SST.     

西藏改则县多不扎地区上侏罗统对望山组的建立及意义

对望山组是发育在羌南板块南缘的一套岩石组合,以安山岩、流纹岩、玄武质凝灰岩为主,有少量的玄武安山岩夹层,具有明显的岩浆喷出相和沉积相韵律分布的特点。利用LA-ICP-MS同位素定年技术对对望山组安山岩中的锆石进行了U-Pb同位素测年,获得锆石的~(206)Pb/~(238)U年龄加权平均值为150.5±0.6Ma,表明对望山组的形成时代为晚侏罗世中晚期,在详细剖面测制和区域对比的基础上建立了对望山组。对望山组的建立对完善班公湖-怒江缝合带的地层系统、探讨班公湖-怒江洋的晚侏罗世构造演化具有重要的地质意义。     

Numerical Analysis of Gravity Coring Using Coupled Eulerian-Lagrangian Method and a New Corer

The shortcomings of gravity corers in sampling marine sediments have been observed extensively in various field tests. In order to optimize the coring, this article provides an alternative numerical way to model the gravity coring and analyze the sampling effect. Based on this analysis, a new hydraulic hammer corer is devised. A coupled Eulerian-Lagrangian method with capability of simulating the problem involving extreme deformation, penetration is used to simulate the coring process. The results show that the hydrostatic pressure and deviator stress increase and reach their peak when the pile tip is slightly above or at the level of the observation point and then drop rapidly when the pile tip slides below the observation point. In addition, the stress path indicates that the soil element sustains plastic compression before yielding and then expands until recovering to the original state. The obvious “under-sampling” phenomenon is also well-captured by the finite element model.     

藏北羌塘南部埃迪卡拉系达布热组的建立及其地质意义

羌塘位于青藏高原腹地,构造上处于冈瓦纳大陆北缘。因其特殊的构造位置,羌塘地体的起源及构造演化对于探讨青藏高原的早期形成演化、冈瓦纳大陆裂解,以及特提斯洋演化等关键科学问题至关重要。最近,在羌塘南部达布热地区发现一套碎屑岩夹玄武岩的岩石组合,碎屑岩具有低成分成熟度的特点,虽然岩石发生了低绿片岩相变质,但仍然保留了原岩类复理石沉积的特点。根据碎屑锆石定年结果,该套地层中碎屑锆石的最年轻年龄为550Ma左右。此外,该套地层中玄武岩夹层的测年结果表明,该套地层形成于埃迪卡拉纪(约550Ma)。结合地层剖面及区域地层对比,建立了埃迪卡拉纪达布热组。达布热组是羌塘地区首次发现的埃迪卡拉纪地层,该组地层的建立为探讨冈瓦纳大陆北缘构造演化提供了重要线索。     

藏北羌塘中部日湾茶卡地区晚三叠世安山岩与闪长质包体岩石成因及地质意义

龙木错-双湖-澜沧江缝合带将羌塘板块划分为南、北2个次级板块,在缝合带两侧大规模发育晚三叠世岩浆作用,并伴随大量的高压超高压变质岩。在缝合带以南的日湾茶卡地区识别出一套安山岩,其中发育大量的暗色闪长质捕虏体,锆石U-Pb测年结果在安山岩中获得了364.7±1.9Ma和223.9±1.3Ma两组年龄信息,锆石原位Hf同位素测试结果εHf(t)分别为+7.22~+8.69和-5.94~-4.14。结合羌塘中部已有的研究成果,认为闪长质捕虏体形成于晚泥盆世洋壳俯冲背景,是地幔楔部分熔融底侵至地壳的产物;而安山岩形成于晚三叠世碰撞后伸展背景,是深部板片断离机制下深俯冲陆壳边缘一侧熔体混染晚泥盆世新生地壳的产物。安山岩中闪长质捕虏体的发现支持了俯冲带作为大陆生长的重要场所的观点。     

Evolution of the shape parameter in the Weibull distribution for brittle rocks under uniaxial compression

Applying the statistical damage theory based on the Weibull distribution to describe rock deformation and failure processes is an important development in rock mechanics. The shape parameter of the Weibull distribution, m, determines the basic shape of the distribution curve; additionally, it also represents a physical characteristic which can be applied when constructing rock constitutive models. To study the evolution of m during rock failure when applying the Weibull distribution to rock mechanics, uniaxial cyclic loading tests of shale specimens were conducted and previous rock mechanics experiments under different temperatures and loading rates were reviewed. The results indicate that m varied with the accumulation of damage but was almost constant between the volume expansion point and the peak strength point of each specimen. Combined with previous studies about the accelerated failure behavior of rocks, we conclude that between the volume expansion point and the peak strength point, the mechanical behavior of the rock fracture process did not change significantly. Based on the characteristics of m at different damage stages during the rock failure process, ranges of m values at different damage stages are proposed. The conclusions reached in this study may be used as an important reference for theoretical research on rock mechanics.