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.     

PLS-ANN分析血浆自体荧光光谱的二阶导数光谱识别胃癌

探讨偏最小二乘法结合神经网络法(简称PLS-ANN)分析血浆自体荧光光谱的二阶导数光谱识别胃癌的优势,对20例胃癌病人和23例健康人血浆进行以405nm为激发光的自体荧光光谱检测,采用PLS-ANN法分别对血浆自体荧光光谱和二阶导数光谱进行判别分析。PLS-ANN分析血浆的自体荧光光谱法诊断胃癌的灵敏度为75%,特异度为83%,准确率为79%,PLS-ANN分析血浆的二阶导数光谱法诊断胃癌的灵敏度为90%,特异度为96%,准确率为93%。结果表明PLS-ANN分析血浆的二阶导数光谱法识别胃癌,优于PLS-ANN分析血浆的自体荧光光谱法,有望成为快速识别胃癌的较理想方法。     

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.     

高光谱分辨率遥感在植被监测中的应用综述

高光谱分辨率遥感技术是近20年来人类在对地观测方面所取得的重大技术突破之一,也是当前及未来几十年内的遥感前沿技术。由于其具有光谱分辨率高,数据丰富等独特性能,因而在环境保护、地质找矿、植物生长监测等许多方面有着广泛的应用。高光谱分辨率遥感在植被监测中有两个方面的应用：（1）叶面积指数（LAI）和“红边”光学参数的计算。（2）利用导数光谱技术消除植被环境前景影响。     

全张量磁梯度数据的斜导数特征值边界识别方法研究

本文提出了一种全张量磁梯度数据的斜导数边界识别方法,该方法利用全张量磁梯度数据定义了北向斜导数、东向斜导数和垂向斜导数.模型试验表明,北向和东向斜导数无法有效识别磁性异常体边界,异常形态复杂虚假异常较多,而垂向斜导数在高纬度斜磁化或者垂直磁化条件下可以清晰而准确得识别地质体的边界,具有一定的深度识别能力.与现有磁张量梯度的边界识别方法相比,识别效果好,可以有效均衡不同深度地质体的响应.将上述方法应用于大兴安岭地区实测航磁三分量数据转换得到的全张量数据,获得了研究区浅部磁性体的分布,并与三分量数据进行联合解释,取得良好的地质效果.     

利用磁异常模量进行磁性体边界检测

地下磁性体具有较强的剩磁或退磁会给磁异常的解释带来困难。由于磁异常模量对磁化方向不敏感,将磁异常转换为磁异常模量并用来分析和处理,可很大程度上提高磁异常解释的准确性和可靠性。本文介绍了五种磁异常模量,并且利用改进的Tilt梯度方法对各磁异常模量数据做边界检测,确定地下磁性体的水平位置。理论模型试验表明,在存在强剩磁的情况下,不同模量数据对磁性体的反应程度也不一样,运用改进的Tilt梯度方法对磁异常模量进行处理可不同程度地加强对异常体的识别,其中模量E最为准确,可较清晰地识别磁性体边界。笔者还将该方法运用到坦桑尼亚基戈马地区的航磁异常处理,并推测了该地区的构造带及磁性体边界,为深入了解基戈马成矿区带的地质和成矿背景及可能矿床分布提供了重要信息。