Dual models of pore spaces

We present a model for pore spaces that consists of two parts related by duality: (1) a decomposition of an open polyhedral pore space into open contractible pore bodies separated by relatively open interfaces and (2) a pore network that is homotopy equivalent to the pore space. The dual model is unique and free of parameters, but it relies on regularity conditions for the pore space. We show how to approximate any pore space by the interior of a polyhedral complex such that the regularity conditions are fulfilled. Thus, we are able to calculate the dual model from synthetic porous media and images of real porous media. The pore bodies are unions of relatively open Delaunay cells with respect to the corners of the pore boundary, and the pore network consists of certain at most two-dimensional (2D) Voronoi cells with respect to the corners of the pore boundary. The pore network describes the neighborhood relations between the pore bodies. In particular, any relatively open 2D Delaunay face f separating two pore bodies has a unique (relatively open) dual network edge. In our model, f is a pore throat only if it is hit by its dual network edge. Thus, as opposed to widespread intuition, any pore throat is convex, and adjacent pore bodies are not necessarily separated by pore throats. Due to the duality between the pore network and the decomposition of the pore space into pore bodies it is straightforward to store the geometrical properties of the pore bodies [pore throats] as attributes of the dual network vertices [edges]. Such an attributed network is used to perform 2D drainage simulations. The results agree very well with those from a pore-morphology based modeling approach performed directly on the digital image of a porous medium. Contractibility of the pore bodies and homotopy equivalence of the pore space and the pore network is proven using discrete Morse theory and the nerve theorem from combinatorial topology.     

Suspended sediment load transport in the Mississippi River basin at St. Louis: temporal scaling and nonlinear determinism

This study investigates the dynamic behavior of suspended sediment load transport at different temporal scales in the Mississippi River basin. Data corresponding to five successively doubled temporal scales (i.e. daily, two‐day, four‐day, eight‐day and 16‐day) from the St. Louis gaging station in Missouri are analyzed. The investigation is focused on identifying possible low‐dimensional deterministic behavior in the suspended sediment load transport dynamics, with an aim towards reduction in model complexity. The correlation dimension method is used to identify low‐dimensional determinism. The suspended sediment load dynamics are represented through phase‐space reconstruction, and the variability is estimated using the (proximity of) reconstructed vectors in the phase space. The results indicate the presence of low‐dimensional determinism in the suspended sediment load series at each of the five temporal scales, with the variables dominantly governing the dynamics in the order of three or four. These results not only suggest the appropriateness of relatively simpler models but also hint at possible scale invariance in the suspended sediment load transport dynamics. Copyright © 2006 John Wiley & Sons, Ltd.     

Nonlinear determinism in river flow: prediction as a possible indicator

Whether or not river flow exhibits nonlinear determinism remains an unresolved question. While studies on the use of nonlinear deterministic methods for modeling and prediction of river flow series are on the rise and the outcomes are encouraging, suspicions and criticisms of such studies continue to exist as well. An important reason for this situation is that the correlation dimension method, used as a nonlinear determinism identification tool in most of those studies, may possess certain limitations when applied to real river flow series, which are always finite and often short and also contaminated with noise (e.g. measurement error). In view of this, the present study addresses the issue of nonlinear determinism in river flow series using prediction as a possible indicator. This is done by (1) reviewing studies that have employed nonlinear deterministic methods (coupling phase‐space reconstruction and local approximation techniques) for river flow predictions and (2) identifying nonlinear determinism (or linear stochasticity) based on the level of prediction accuracy in general, and on the prediction accuracy against the phase‐space reconstruction parameters in particular (termed as the ‘inverse approach’). The results not only provide possible indications to the presence of nonlinear determinism in the river flow series studied, but also support, both qualitatively and quantitatively, the low correlation dimensions reported for such. Therefore, nonlinear deterministic methods are a viable complement to linear stochastic ones for studying river flow dynamics, if sufficient caution is exercised in their applications and in interpreting the outcomes. Copyright © 2006 John Wiley & Sons, Ltd.     

城市设计信息系统研究初探

通过对城市设计中空间问题的分析，探讨了地理信息系统在城市设计中的应用，并对城市设计信息系统进行了总体设计。     

由空间直角坐标计算大地坐标的简便公式

对大地测量教科书中给出的空间三维直角坐标与大地坐标的转换公式进行了大量的计算与分析，总结得出一组由空间直角坐标计算大地坐标的简便公式。     

Comparison of resection–intersection algorithms and projection geometries in radiostereometry

Three resection–intersection algorithms were applied to simulated projections and clinical data from radiostereometric patients. On simulated data, the more advanced bundle-adjustment-based algorithms outperformed the classical Selvik algorithm, even if the error reductions were small for some parameters. On clinical data, the results were inconclusive.The two different projection geometries had a much larger influence on the error size and distribution. For the biplanar configuration, the position and motion errors were small and almost isotropic. For the uniplanar configuration, the position errors were comparably high and anisotropic, but still resulted in a high accuracy for some motion parameters at the expense of others.The simplified resection–intersection algorithm by Selvik may still be considered a good and robust algorithm for radiostereometry. More studies will have to be performed to find out how the theoretical advantages of the bundle methods can be utilized in clinical radiostereometry.     

成矿预测中应用GIS的主要步骤

GIS在成矿预测中需要处理的成矿信息包括遥感信息，地质信息，物探信息和化探信息；GIS支持下的成矿预测包括资料收集，各类数据的准备和数据库的建立，控矿因素分析，建立找矿预测模型，空间检索与分析，特征提取与合并，结果修正的地质解释，预测成果的输出等步骤；GIS工具的应用为成矿预测提供了又一条有效的途径。     

高速公路砂井地基固结度时空变化规律探讨

软基固结度时空变化规律的研究对解决高速公路软基沉降预测问题具有十分重要的意义。本文在讨论固结度时空变化的实质与计算方法的基础上，结合京珠高速公路广珠段某软基试验资料，初步探讨了高速公路砂井地基固结度的时空变化规律，特别提出固结的滞后效应及其对固结沉降曲线形态的影响，并简要讨论了砂井直径和间距对固结度的影响，认为软基沉降中地下水微观动力学过程的研究将有助于揭示固结度时空变化规律。     

地质信息可视化的应用——城市环境地质研究之发展方向

随着21世纪人类城市化建设的发展，城市环境地质研究成为水工环地质研究领域的一个重要组成部分，城市建设中的最主要问题是水资源问题和环境地质问题。城市水资源问题有：城市后备水源地的研究，以及应急水资源地和地下水库的研究。城市环境地质问题主要包括：（1）围绕城市建设和发展的一般性资源、地质环境问题；（2）城市地质作用产生的地质环境问题；（3）城市人口密集区及工业区的土壤和水体有机污染问题。解决城市环境地质问题的关键是对地下空间地层岩性及构造条件的研究，通过这些基础条件研究分析城市地质环境和地下水资源问题。可视化研究技术通过对城市地质体在地下空间的相对位置、形态、物化特征等三维构模处理，使这些城市赖以存在的地质基础条件可为非专业的决策层所理解，并在城市发展的规划中体现这些大自然所赋予人类的地下空间资源的价值。应用三维可视化技术对城市环境地质研究是一个全新的研究领域，目前尚没有系统完整的应用先例。三维可视化技术将在城市化环境地质研究中，开拓一个崭新的环境地质研究时代，成为城市环境地质研究的发展方向。     

空间大地测量的最新进展(一)

现代大地测量的进展主要是空间大地测量的进展 ,而空间大地测量的进展以 GPS的进展最为突出。因此 ,本刊曾在 2 0 0 0年 4期和 2 0 0 1年 1期连载了 GPS的最新进展。现陆续介绍现代空间大地测量最新进展的全貌 ,包括 :1.空间大地测量最新进展的概况 ;2 .甚长基线干涉测量 (VL BI)的最新进展 ;3.激光测月 (L L R)和激光测卫 (SL R)的最新进展 ;4.卫星雷达测高的最新进展 ;5 .合成孔径雷达干涉测量 (INSAR)的最新进展 ;6 .由卫星集成的多普勒和无线电定位系统 (DORIS)的最新进展等