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1.
The upper layer (above 140 m depth) temperature in the western Philippine Sea near Taiwan was sampled using a coastal monitoring buoy (CMB) with 15 attached thermistors during July 28–August 7, 2005. The data were collected every 10 min at 1, 3, 5, 10, 15, and 20 m using the CMB sensors, and every 15 sec at 15 different depths between 25 m and 140 m. Internal waves and solitons were identified from the time-depth plot of the temperature field. Without the internal waves and solitons, the power spectra, structure functions, and singular measures (representing the intermittency) of temperature field satisfy the power law with multi-scale characteristics at all depths. The internal waves do not change the basic characteristics of the multifractal structure. However, the internal solitons change the power exponent of the power spectra drastically, especially in the low wave number domain; they also break down the power law of the structure function and increase the intermittency parameter. The physical mechanisms causing these different effects need to be explored further.  相似文献   
2.
Martian Topography: Scaling, Craters, and High-Order Statistics   总被引:1,自引:0,他引:1  
The high-order structure functions of Mars topography reveal three specific ranges of scales: (1) scaling range at small scales where the structure functions exhibit scaling behavior; (2) transition range where the structure functions continue to grow but do not reveal scaling; and (3) saturation range at large scales where the structure functions saturate. The scaling and saturation ranges are explored in detail in respect to scaling and intermittency. Analysis of the Mars Orbiter Laser Altimeter (MOLA) data and computer simulations suggest that there are two potential contributors to the small-scale scaling: (i) scale-invariant surface formation; and (ii) effects of discrete morphological forms such as craters. The crater effect also provides an explanation for the large-scale intermittency revealed using the normalized structure functions within the saturation range, which cannot be explained by the ‘scale-invariant’ concept. Overall, the obtained results suggest that the “crater” contribution to the structure function behavior often dominates over the effect of the scale-invariant surface formation.  相似文献   
3.
An important question regarding the study of mean field dynamo models is how to make precise the nature of their underlying dynamics. This is difficult both because relatively little is known about the dynamical behaviour of infinite dimensional systems and also due to the numerical cost of studying the related partial differential equations. As a first step towards their understanding, it is useful to consider the corresponding truncated models. Here we summarise some recent results of the study of a class of truncated axisymmetric mean field dynamo models. We find conclusive evidence in these models for various types of intermittency as well as multiple attractors and final state sensitivity. We also find that the understanding of the underlying dynamics of such dynamo models requires the study of a new class of dynamical systems, referred to as the non-normal systems. Current work demonstrates that these types of systems are capable of a novel type of intermittency and also of relevance for the understanding of the full axisymmetric PDE dynamo models.  相似文献   
4.
冲刷桥墩基础的HHT振动频谱特性分析与判读研究   总被引:1,自引:0,他引:1  
尝试以移动车流为振动源,在明显受冲刷与未受冲刷桥墩系统上方一侧布设讯号传感器,接收桥梁下部结构因振动源所产生的振动讯号。再以经验模态分解法EMD与希尔伯特黄转换HHT作为讯号分解与振动频谱解析的方法,针对桥墩系统(桥梁下部结构)的Y方向振动讯号进行解析与判读。于EMD分析过程中导入间断性准则进行振动讯号分解。针对完整(未裸露)桥墩系统(P1),与跨河冲刷桥段桥墩系统(P2)的Y方向,进行频谱解析与比对探讨。由研究结果可知,EMD讯号分解过程可能产生模态混合现象,导致HHT图形中产生频率损失以及可判读区间缩短的现象。借由间断性准则的应用,可有效解决这些问题,获得判读性较高的HHT频谱图与边际频谱图。此外,HHT频谱图所得结果证实,桥墩系统Y方向的瞬时频率变化为一频宽带,其区间范围约在1~4 Hz之间。而由边际频谱图中可知,P1、P2的频率能量分别集中于2.5 Hz与1.7 Hz,可知P2的整体系统刚度小于P1。据此,明显受冲刷桥墩系统P2,其承载能力弱化的现象得以由HHT方法中明显呈现。  相似文献   
5.
引入了局域小波能谱的局域间歇性度量,分析了不同风速下的风浪资料,结果表明,局域小波能谱可依局域频率分为三部分。风浪的群性在三维局域小波能谱图像下显示得更为明显,与风浪有关的一切性质都是局域的,包括风浪的群性。讨论了局域小波谱峰值与谱峰频率的涨落,指出了前者在工程设计中的重要意义,并发现了后者与风浪破碎有关的两种非线性现象。  相似文献   
6.
Eunho Ha  Chulsang Yoo 《水文研究》2007,21(22):3078-3086
Even though rain rate is notorious for its spatial and temporal intermittency, its effect on the second‐order statistics of rain rate, especially the inter‐station correlation coefficients, has not been intensively evaluated before. This study has derived and compared the inter‐station correlation coefficient of rain rate for three cases of data: (1) only the positive measurements at both locations; (2) the positive measurements at either one or both locations; (3) all the measurements including zero measurement at both locations. For these three cases, the inter‐station correlation coefficients are analytically derived by applying the mixed bivariate log‐normal distribution. As an application example, the model parameters are estimated using the rain rate data collected at the Geum River basin, Korea, and the resulting inter‐station correlation coefficients are evaluated and compared with those estimated by applying the Gaussian distribution. We could find that highly biased inter‐station correlation coefficients are unavoidable when simply estimating them under the assumption of Gaussian distribution, or even when using the log‐transformed rain rate data. Copyright © 2007 John Wiley & Sons, Ltd.  相似文献   
7.
Asok K. Sen 《水文研究》2009,23(8):1147-1157
We have investigated riverflow variability in England and Wales by examining the reconstructed monthly discharge time series from fifteen catchments in these regions for the period 1865–2002. The riverflow fluctuations exhibit a strong annual cycle. The flow in the annual cycle is found to be intermittent, with the degree of intermittency varying from one catchment to another. An intermittent flow is characterized by bursts of high discharge separated by intervals with low or no discharge. By applying a continuous wavelet transform to the time series, we have identified the occurrence of intermittency in the annual cycle. The riverflow activity is also found to exhibit variations at interannual and quasi‐decadal time scales. These variations may be linked to large‐scale climatic processes such as the North Atlantic Oscillation (NAO). We have used the kurtosis of the probability density functions of the various time series as a measure of the degree of intermittency. An intermittent flow is characterized by a peaked (super‐Gaussian) probability density function with kurtosis in excess of 3. A higher value of kurtosis signifies a higher degree of intermittency. Intermittent fluctuations are more difficult to predict accurately than persistent oscillations, i.e., those lasting continuously over a long time interval. Copyright © 2009 John Wiley & Sons, Ltd.  相似文献   
8.
In this paper we demonstrate application of the Extended Self-Similarity (ESS) concept, recently developed in turbulence physics, for geological and geophysical phenomena. The theoretical background is discussed first and then the ESS properties in fluvial turbulence, sand wave dynamics, Martian topography, river morphometry, gravel-bed mobility, and atmospheric barometric pressure are explored. The main attention is paid to fluvial turbulence and sand waves, while other examples are presented to support the generality of the ESS concept in earth sciences. The results show that the ESS properties of the considered phenomena are remarkably similar to those reported for turbulence, in spite of different underlying mechanisms. This suggests that a general rule should exist which governs a wide class of complex natural phenomena.  相似文献   
9.
Harmonic tremor is widely studied and modelled in a very narrow frequency band (1–5 Hz) which represents the eigenfrequencies of a resonator assumed as the source of the phenomenon. Minimal effort was dedicated towards understanding its behaviour in larger temporal scales. Here we characterise the dynamic behaviour of volcanic tremor while evaluating the complete spectrum of the generalised dimension of the phase space. The starting time series constitutes the tremor amplitude picked every 10 minutes. The choice of this lag time is made on the basis of a qualitative analysis of the properties of the tremor. The results show intermittent behaviour of the dynamics which requires an 8-dimensional map to be completely described. An interesting result is that the maximum clustering of point density in phase space occurs in a monodimensional space which implies a periodicity sometimes observed experimentally. An appropriate predictive model needs more constraints on the nature of the eight variables involved in the process.  相似文献   
10.
Abstract

The scale invariance of rainfall series in the Tunis area, Tunisia (semi-arid Mediterranean climate) is studied in a mono-fractal framework by applying the box counting method to four series of observations, each about 2.5 years in length, based on a time resolution of 5 min. In addition, a single series of daily rainfall records for the period 1873–2009 was analysed. Three self-similar structures were identified: micro-scale (5 min to 2 d) with fractal dimension 0.44, meso-scale (2 d to one week) and synoptic-scale (one week to eight months) with fractal dimension 0.9. Interpretation of these findings suggests that only the micro-scale and transition to saturation are consistent, while the high fractal dimension relating to the synoptic scale might be affected by the tendency to saturation. A sensitivity analysis of the estimated fractal dimension was performed using daily rainfall data by varying the series length, as well as the intensity threshold for the detection of rain.

Editor Z.W. Kundzewicz; Associate editor S. Grimaldi

Citation Ghanmi, H., Bargaoui, Z., and Mallet, C., 2013. Investigation of the fractal dimension of rainfall occurrence in a semi-arid Mediterranean climate. Hydrological Sciences Journal, 58 (3), 483–497.  相似文献   
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