分形理论在土体粒度成分特征评价中的应用

由于土体粒度成分的复杂性,目前对土的粒度成分分析缺乏合适的定量描述参数,分形理论为该问题提供了新的途径。实例计算表明,分维作为描述土体粒度成分特征的参数,能较好反映了各种粒径大小在土体中的组成特点,可将其作为土体工程分类的一个综合性定量指标。     

位场各阶垂向导数的ISVD算法及其应用

位场垂向导数广泛应用于位场数据处理与解释当中,目前求取位场各阶垂向导数方法大致可以分为两类：①在频率域进行;②在空间域进行。针对这两类方法存在着稳定性较差的问题,这里介绍了计算位场各阶垂向导数的ISVD算法,并通过对单一地质体模型和地质体组合模型产生的布格重力异常进行处理分析,证明了ISVD算法在计算位场各阶垂向导数时,特别是在计算位场高阶垂向导数时,比在频率域及空间域计算结果具有较好的稳定性,ISVD算法能够有效地识别出浅层小尺度地质体边界。为了验证该方法对实际资料的处理效果,对某区块实际布格重力异常数据应用ISVD算法试算各阶垂向导数,结合地质背景等资料划分出断裂体系。结果证明,应用ISVD算法计算的位场各阶垂向导数,对于确定浅层小尺度地质体边界有较好的效果。     

Large-scale silicic alkalic magmatism associated with the Buckhorn Caldera, Trans-Pecos Texas, USA: comparison with Pantelleria, Italy

Three major rhyolite systems in the northeastern Davis and adjacent Barrilla Mountains include lava units that bracketed a large pantelleritic ignimbrite (Gomez Tuff) in rapid eruptions spanning 300,000 years. Extensive silicic lavas formed the shields of the Star Mountain Formation (37.2 Ma-K/Ar; 36.84 Ma ³⁹Ar/⁴⁰Ar), and the Adobe Canyon Formation (37.1 Ma-K/Ar; 36.51-³⁹Ar/⁴⁰Ar). The Gomez Tuff (36.6 Ma-K/Ar; 36.74-³⁹Ar/⁴⁰Ar) blanketed a large region around the 18×24 km diameter Buckhorn caldera, within which it ponded, forming sections up to 500 m thick. Gomez eruption was preceded by pantelleritic rhyolite domes (36.87, 36.91 Ma-³⁹Ar/⁴⁰Ar), some of which blocked movement of Star Mountain lava flows. Following collapse, the Buckhorn caldera was filled by trachyte lava. Adobe Canyon rhyolite lavas then covered much of the region. Star Mountain Formation (~220 km³) is composed of multiple flows ranging from quartz trachyte to mildly peralkalic rhyolite; three major types form a total of at least six major flows in the northeastern Davis Mountains. Adobe Canyon Formation (~125 km³) contains fewer flows, some up to 180 m thick, of chemically homogenous, mildly peralkalic comendite, extending up to 40 km. Gomez Tuff (~220 km³) may represent the largest known pantellerite. It is typically less than 100 m thick in extra-caldera sections, where it shows a pyroclastic base and top, although interiors are commonly rheomorphic, containing flow banding and ramp structures. Most sections contain one cooling unit; two sections contain a smaller, upper cooling unit. Chemically, the tuff is fairly homogeneous, but is more evolved than early pantelleritic domes. Overall, although Davis Mountains silicic units were generated through open system processes, the pantellerites appear to have evolved by processes dominated by extensive fractional crystallization from parental trachytes similar to that erupted in pre- and post-caldera lavas. Comparison with the Pantelleria volcano suggests that the most likely parental magma for the Buckhorn series is transitional basalt, similar to that erupted in minor, younger Basin and Range volcanism after about 24 Ma. Roughly contemporaneous mafic lavas associated with the Buckhorn caldera appear to have assimilated or mixed with crustal melts, and, generally, may not be regarded as mafic precursors of the Buckhorn silicic rocks, They thus form a false Daly Gap as opposed to the true basalt/trachyte Daly gap of Pantelleria. Electronic supplementary material The online version of this article (doi:) contains supplementary material, which is available to authorized users. This paper constitutes part of a special issue dedicated to Bill Bonnichsen on the petrogenesis and volcanology of anorogenic rhyolites.     

A finite element solution for the fractional advection–dispersion equation

The fractional advection–dispersion equation (FADE) known as its non-local dispersion, has been proven to be a promising tool to simulate anomalous solute transport in groundwater. We present an unconditionally stable finite element (FEM) approach to solve the one-dimensional FADE based on the Caputo definition of the fractional derivative with considering its singularity at the boundaries. The stability and accuracy of the FEM solution is verified against the analytical solution, and the sensitivity of the FEM solution to the fractional order α and the skewness parameter β is analyzed. We find that the proposed numerical approach converge to the numerical solution of the advection–dispersion equation (ADE) as the fractional order α equals 2. The problem caused by using the first- or third-kind boundary with an integral-order derivative at the inlet is remedied by using the third-kind boundary with a fractional-order derivative there. The problems for concentration estimation at boundaries caused by the singularity of the fractional derivative can be solved by using the concept of transition probability conservation. The FEM solution of this study has smaller numerical dispersion than that of the FD solution by Meerschaert and Tadjeran (J Comput Appl Math 2004). For a given α, the spatial distribution of concentration exhibits a symmetric non-Fickian behavior when β = 0. The spatial distribution of concentration shows a Fickian behavior on the left-hand side of the spatial domain and a notable non-Fickian behavior on the right-hand side of the spatial domain when β = 1, whereas when β = −1 the spatial distribution of concentration is the opposite of that of β = 1. Finally, the numerical approach is applied to simulate the atrazine transport in a saturated soil column and the results indicat that the FEM solution of the FADE could better simulate the atrazine transport process than that of the ADE, especially at the tail of the breakthrough curves.     

北京高科技产业集群衍生效应及其影响分析——基于中关村科技园区的案例研究

以北京高科技产业集群衍生效应的分析为核心,将衍生效应分为两大类:企业衍生效应和技术衍生效应.通过实证研究.分析出衍生效应的主要表现形式,并以此为基础设定分析标准,用以反映北京高科技产业集群的发展特点.研究发现:衍生效应能够提升竞争优势和智力资源的利用效率,对高科技产业集群的发展有积极意义;同时,衍生效应能够强化集群专业化分工,促进技术扩散;技术衍生效应能促进企业规模化和专业化,而企业衍生效应强化了集群内部的竞争,能促进技术创新和研发投入.     

含芘氨基酸衍生物对水中Cd2+、Pb2+的高选择性识别研究

本文报道了一种新型含芘氨基酸衍生物-L-[4-（1-芘基）]丁酰基苯丙氨酸（缩写为PLT）,通过对PLT与离子结合前后其二聚体/单体荧光发射峰强度比的检测表明该衍生物对水中的重金属离子Cd^2＋和Pb^2＋表现出了极强的识别性能,而对水中所存在的其它离子则具有完全不同的响应特性.     

一种分析软土黏弹性的分数导数开尔文模型

软土是一种黏、弹、塑性材料,采用分数微积分模型来研究软土的蠕变规律目前尚未见到。选取了珠江三角洲南沙地区典型软土作为研究对象,在对其进行大量相关试验的基础上,采用含分数阶导数的开尔文模型来模拟该地区软土的蠕变规律,讨论了含分数阶导数的开尔文模型的蠕变柔量和松驰模量及其应用。与传统的开尔文模型相比较,分数阶导数的开尔文模型可以更好地拟合蠕变曲线,而且其形式简单、统一,在计算过程中需要调整的参数很少。可以预见,含分数阶导数的开尔文体在软土的流变本构研究领域及其计算中将有着广泛的应用前景。     

Variogram Model Selection via Nonparametric Derivative Estimation

Before optimal linear prediction can be performed on spatial data sets, the variogram is usually estimated at various lags and a parametric model is fitted to those estimates. Apart from possible a priori knowledge about the process and the user's subjectivity, there is no standard methodology for choosing among valid variogram models like the spherical or the exponential ones. This paper discusses the nonparametric estimation of the variogram and its derivative, based on the spectral representation of positive definite functions. The use of the estimated derivative to help choose among valid parametric variogram models is presented. Once a model is selected, its parameters can be estimated—for example, by generalized least squares. A small simulation study is performed that demonstrates the usefulness of estimating the derivative to help model selection and illustrates the issue of aliasing. MATLAB software for nonparametric variogram derivative estimation is available at http://www-math.mit.edu/~gorsich/derivative.html. An application to the Walker Lake data set is also presented.     

二维分形技术在地震勘探构造解释中的应用

作者在文中探讨了二维分形布朗运动在地震勘探构造解释中的应用,并针对地震资料,提出了具体实用的算法,并以此算用Ｃ＾＋＋语言编制了相应处理软件,对实测地震资料进行了处理,取得了明显的效果。     

Geomorphology-oriented digital terrain analysis: Progress and perspectives

Digital terrain analysis(DTA) is one of the most important contents in the research of geographical information science(GIS). However, on the basis of the digital elevation model(DEM), many problems exist in the current research of DTA in geomorphological studies. For instance, the current DTA research appears to be focused more on morphology, phenomenon, and modern surface rather than mechanism, process, and underlying terrain. The current DTA research needs to be urgently transformed from the study of landform morphology to one focusing on landform process and mechanism. On this basis, this study summarizes the current research status of geomorphology-oriented DTA and systematically reviews and analyzes the research about the knowledge of geomorphological ontology, terrain modeling, terrain derivative calculation, and terrain analytical methods. With the help of DEM data, DTA research has the advantage of carrying out geomorphological studies from the perspective of surface morphology. However, the study of DTA has inherent defects in terms of data expression and analytic patterns. Thus, breakthroughs in basic theories and key technologies are necessary. Moreover, scholars need to realize that DTA research must be transformed from phenomenon to mechanism, from morphology to process, and from terrain to landform. At present, the research development of earth science has reached the critical stage in which the DTA research should focus more on geomorphological ontology. Consequently, this study proposes several prospects of geomorphology-oriented DTA from the aspects of value-added DEM data model, terrain derivatives and their spatial relations, and macro-terrain analysis. The study of DTA based on DEM is at a critical period along with the issue on whether the current GIS technology can truly support the development of geography. The research idea of geomorphology-oriented DTA is expected to be an important exploration and practice in the field of GIS.