Propagation of oblique waves over small bottom undulation in an ice-covered two-layer fluid

Scattering of oblique incident waves by small bottom undulation in a two-layer fluid, where the upper layer has a thin ice-cover while the lower one has the undulation, is investigated within the framework of linearized water wave theory. The ice-cover is being modeled as an elastic plate of very small thickness. There exist two modes of time-harmonic waves–one with lower wave number propagating along the ice-cover (ice-cover mode) and the other with higher wave number along the interface (interfacial mode). A perturbation analysis is employed to solve the corresponding boundary value problem governed by modified Helmholtz equation and thereby evaluating the reflection and transmission coefficients approximately up to first order for both modes. A patch of sinusoidal ripples, having two different wave numbers over two consecutive stretches, is considered as an example and the related coefficients are determined. It is observed that when the wave is incident on the ice-cover surface we always find energy transfer to the interface, but for interfacial incident waves there are parameter ranges for which no energy transfer to the ice-cover surface is possible. Also it is observed that for small angles of incidence, the reflected energy is more as compared to the other angles of incidence. These results are demonstrated in graphical form. From the derived results, the solutions for problems with free surface can be obtained as particular cases.     

Oblique surface wave propagation over a small undulation on the bottom of an ocean

The problem of oblique water wave diffraction by small undulation of the bottom of a laterally unbounded ocean is considered using linear water wave theory. A perturbation analysis is employed to obtain the velocity potential, the reflection and the transmission coefficients up to the first order in terms of integrals involving the shape functions c(x) representing the bottom undulation. Finite cosine transform is used to find the first order potential, and this potential is utilised in obtaining the first order reflection and transmission coefficients. Some particular forms of the shape function representing an exponentially damped undulation, a single hump and a patch of sinusoidal ripples are considered and the integrals for the reflection and transmission coefficients are evaluated. For the exponentially damped undulation, it is observed that the reflection ceases much before transmission while for the single hump, reflection and transmission go hand in hand up to a certain value of the wavenumber, after which they vanish. For the patch of sinusoidal ripples having the same wavenumber, the reflection coefficient up to the first order is found to be an oscillatory function in the quotient of twice the component of the wavenumber along x-axis and the ripple wavenumber. When this quotient becomes one, the theory predicts a resonant interaction between the bed and free surface, and the reflection coefficient becomes a multiple of the number of ripples. High reflection of the incident wave energy occurs if this number is large. Also, when a patch of ripples having different wavenumbers is considered the same result follows. Known results for the normal incidence are recovered as special cases for the patch of sinusoidal ripples. The theoretical observations are shown computationally.     

庐枞铁多金属矿集区龙桥铁矿反射地震初至波层析成像与隐伏矿床预测

为落实安徽庐枞地区北部的龙桥铁矿含矿层位在第二找矿深度的空间分布,本文应用小道距、长排列接收的地震反射初至波走时数据,运用层析成像方法,得到该地区近地表1000m以上的速度结构。研究结果显示,反射地震初至波携带了丰富的上地壳速度结构特征和界面变化的构造信息,精细的速度结构揭露出龙桥铁矿隐伏岩体顶界面深度与起伏形态,发现岩体顶面凸起及陡变化部位与矿体分布存在着明显的对应关系。长排列的深地震反射初至波走时层析成像方法能够为金属矿集区深部隐伏矿床的勘探与研究提供岩体的空间分布信息。     

Structural setting of the Southern Apennine fold-and-thrust belt (Italy) at hypocentral depth: The Calore Valley case history

The reconstruction of the main structural features of the Southern Apennines (Italy), in correspondence with the focal volume of some strong earthquakes that have affected this chain, can be attempted by analysing reflection seismic lines and deep well logs in comparison with surface geology.For instance, the Calore Valley and its surroundings have been the object of intense hydrocarbon exploration, and a wealth of subsurface data is available. Moreover, this area was affected by the 1688 Sannio earthquake (macroseismic magnitude 7.1), and a new location has recently been proposed for the related causative fault system. The present work defines the structural setting of the Southern Apennine chain in correspondence with this new location, and compares it with similar cases along the Italian peninsula.The analysis was focussed on the reconstruction of deep tectonic units (formed by the buried Apulia carbonate platform succession), which generally correspond to the hypocentral depths of strong earthquakes along the axis of the Southern Apennines. The results show that the Apulia platform succession is affected by three main thrusts, locally accompanied by backthrusts. The top of this succession is relatively shallow: the maximum depth does not exceed 1.8 s TWT (i.e. about 3500 m b.s.l.), while minimum depths occur in correspondence with the ramp anticlines culminations, at 0.5 s TWT (i.e. at about 500 m b.s.l.). Moreover, data suggest that the underlying Paleozoic basement is possibly involved in thrusting.In a regional perspective, extensional seismogenic structures along the axis of the Southern Apennines seem to share some common characteristics. Indeed, they develop (i) in correspondence with an uplifted Paleozoic basement; (ii) at the rear of a set of thrusts that account for the shallow Apulia units; (iii) at the surface, in proximity to the leading edge of a surficial tectonic unit formed by the Apennine carbonate platform succession. The 1688 seismogenic fault system fits in with these common traits. In the light of this, we finally speculate that these common characteristics in the architecture of the chain could provide a key to the location of the major seismicity along the axis of the Southern Apennines and an interpretative model for the identification of possible areas of seismic gap in this part of the Italian peninsula.     

INTERPOLATION TECHNIQUE FOR SPARSE DATA BASED ON INFORMATION DIFFUSION PRINCIPLE-ELLIPSE MODEL

Addressing the difficulties of scattered and sparse observational data in ocean science,a new interpolation technique based on information diffusion is proposed in this paper.Based on a fuzzy mapping idea,sparse data samples are diffused and mapped into corresponding fuzzy sets in the form of probability in an interpolation ellipse model.To avoid the shortcoming of normal diffusion function on the asymmetric structure,a kind of asymmetric information diffusion function is developed and a corresponding algorithm-ellipse model for diffusion of asymmetric information is established.Through interpolation experiments and contrast analysis of the sea surface temperature data with ARGO data,the rationality and validity of the ellipse model are assessed.     

灭点误差分布的理论精度评定

长久以来灭点的研究都集中在自动检测和相机检校方面,然而对其本身的误差分布研究并不多.针对直线交会灭点时存在的闭合差问题和灭点的误差分布问题,进行深入探讨.构建单像灭点平差解算的初始选权方案,并提出基于选权迭代法、协因数矩阵和误差椭圆理论来解算和估计灭点误差分布的方法.通过实验揭示灭点误差分布规律.     

滇池盆地东缘白邑-横冲断裂南段的浅层地震勘探研究

本文用浅层地震反射波法对可能穿越昆明新城区东部第四系覆盖区的白邑-横冲断裂南段进行了探测,结果表明:采用浅层地震反射波法探测隐伏断层是有效的,在滇池盆地东缘,白邑-横冲断裂南段东支在隐伏区存在,断面接近直立,视倾角约80°,具有高倾角张性正断性质,基岩垂直错距为10—13m,断裂规模由北向南减小;同时,没有发现西支次级断层存在迹象。据土层测龄结果,东支断裂最新活动时代为第四纪中更新世晚期。     

球面波PP反射系数的频变特征研究

与平面波反射系数相比,球面波反射系数可以更精确地描述实际地震波的反射特征.近些年关于球面波的研究主要聚焦于球面波反射系数随入射角的变化规律,很少对球面波反射系数随频率的变化(频变)做详细研究.为了更全面地了解球面波的反射机制,本文研究了两层弹性介质中球面波PP反射系数(幅值和相位)的频变规律.文中基于经典的Sommerfeld积分构造球面波PP反射系数,通过自适应的Gauss-Kronrod求积算法对其进行稳定的数值计算.数值试验发现,对于不同的介质参数,球面波反射系数表现出了复杂的频变规律.尤其是当平面波反射系数为零时,对应的球面波反射系数是非零的,且球面波反射系数的相位随频率增加在高频趋近于90°或-90°,即此时球面反射波相对于入射波会有90°的相位旋转.对四类AVO模型的测试表明,球面波反射系数与平面波反射系数在临界角附近和低频时差异很大.     

Study on Dynamic Response of the ＂Dualistic＂ Structure Rock Slope with Seismic Wave Theory

Currently, scant attention has been paid to the theoretical analysis on dynamic response mechanism of the ＂Dualistic＂ structure roek slope. The analysis presented here provides insight into the dynamic response of the ＂Dualistie＂ structure rock slope. By investigating the principle of energy distribution, it is shown that the effect of a joint plays a significant role in slope stability analysis. A dynamic reflection and transmission model （RTM） for the ＂Dualistic＂ structure rock slope and explicit dynamic equations are established to analyze the dynamic response of a slope, based on the theory of elastic mechanics and the principle of seismic wave propagation. The theoretical simulation solutions show that the dynamic response of the ＂Dualistic＂ structure rock slope （soft-hard） model is greater than that of the ＂Dualistic＂ strueture rock slope （hard-soft） model, especially in the slope crest. The magnifying effect of rigid foundation on the dynamic response is more obvious than that of soft foundation. With the amplitude increasing, the cracks could be found in the right slope （soft-hard） crest. The crest failure is firstly observed in the right slope （soft-hard） during the experimental process. The reliability of theoretical model is also investigated by experiment analysis. The conclusions derived in this paper could also be used in future evaluations of Multi-layer rock slopes.     

基于叠前方位振幅的大港—埕海地区奥陶系风化壳裂缝储层的叠前预测

P波通过裂缝地层传播时,其响应会随着地面观测方位的变化而变化,表现出明显的方位各向异性.这种随方位变化的裂缝响应信息(如振幅等)广泛存在于叠前方位一偏移距二维空间域中,检测此域中的裂缝响应,通过椭圆拟合的方法识别各向异性的存在,进而计算裂缝的方向——椭圆长轴的方向,和裂缝密度——椭圆长轴与短轴的比.本文研究出了一种基于常规叠前地震反射振幅来检测裂缝的三维叠前裂缝储层预测方法.它采用面元组合的方法扩大方位角和偏移距范围;采用多级数据控制技术获取所需的信息;采用稳妥的技术步骤来预测.通过大港油田实际工区的应用,结果表明本文研究出的方法技术应用效果好、精度高、经济实用.