Some remarks on the Gaussian beam summation method   总被引：1，自引：0，他引：1  

B. S. White  A. Norris  A. Bayliss  R. Burridge 《Geophysical Journal International》1987,89(2):579-636

Summary. Recently, a method using superposition of Gaussian beams has been proposed for the solution of high-frequency wave problems. The method is a potentially useful approach when the more usual techniques of ray theory fail: it gives answers which are finite at caustics, computes a nonzero field in shadow zones, and exhibits critical angle phenomena, including head waves. Subsequent tests by several authors have been encouraging, although some reported solutions show an unexplained dependence on the 'free' complex parameter ε which specifies the initial widths and phases of the Gaussian beams.
We use methods of uniform asymptotic expansions to explain the behaviour of the Gaussian beam method. We show how it computes correctly the entire caustic boundary layer of a caustic of arbitrary complexity, and computes correctly in a region of critical reflection. However, the beam solution for head waves and in edge-diffracted shadow zones are shown to have the correct asymptotic form, but with governing parameters that are explicitly ε-dependent. We also explain the mechanism by which the beam solution degrades when there are strong lateral inhomogeneities. We compare numerically our predictions for some representative, model problems, with exact solutions obtained by other means.  相似文献   

Wave driven free surface motion in the gap between a tanker and an FLNG barge     

《Applied Ocean Research》2015

When two vessels are moored side-by-side with a narrow gap between them, intense free surface motions may be excited in the gap as a result of complex hydrodynamic interactions. These influence the motions of the two vessels, and the forces in any moorings. The present paper uses first and second order wave diffraction analysis to investigate this phenomenon. Key theoretical aspects of the numerical analysis are first summarised, including the vital need to suppress “irregular frequency” effects; and results are given to validate the code used. The case of a tanker alongside a large floating FLNG barge is then considered in detail.  相似文献   

A laboratory study on capillary sealing efficiency of Iranian shale and anhydrite caprocks     

《Marine and Petroleum Geology》2015

Caprock has the most important role in the long term safety of formation gas storage. The caprocks trap fluid accumulated beneath, contribute to lateral migration of this fluid and impede its upward migration. The rapid upward passage of invasive plumes due to buoyancy pressure is prevented by capillary pressure within these seal rocks. In the present study, two main seal rocks, from the Zagros basin in the southwest of Iran, a shale core sample of Asmari formation and an anhydrite core sample of Gachsaran formation, were provided. Absolute permeabilities of shale and anhydrite cores, considering the Klinkenberg effect, were measured as 6.09 × 10⁻¹⁸ and 0.89 × 10⁻¹⁸ m², respectively. Capillary sealing efficiency of the cores was investigated using gas breakthrough experiments. To do so, two distinct techniques including step by step and residual capillary pressure approaches were performed, using carbon dioxide, nitrogen and methane gases at temperatures of 70 and 90 °C, under confining pressures in the range 24.13–37.92 MPa. In the first technique, it was found that capillary breakthrough pressure of the cores varies in the range from 2.76 to 34.34 MPa. Moreover, the measurements indicated that after capillary breakthrough, gas effective permeabilities lie in range 1.85 × 10⁻²¹ – 1.66 × 10⁻¹⁹ m². In the second technique, the minimum capillary displacement pressure of shale varied from 0.66 to 1.45 MPa with the maximum effective permeability around 7.76 × 10⁻²¹ – 6.69 × 10⁻²⁰ m². The results indicate that anhydrite caprock of the Gachsaran formation provides proper capillary sealing efficacy, suitable for long term storage of the injected CO₂ plumes, due to its higher capillary breakthrough pressure and lower gas effective permeability.  相似文献   

北冰洋西部表层沉积物矿物学特征及其物质来源          下载免费PDF全文

董林森  石学法  刘焱光  方习生  陈志华  王春娟  邹建军  黄元辉 《极地研究》2014,26(1):58-70

对北冰洋西部79个表层沉积物样品进行了全岩X射线衍射矿物组成分析,结合洋流和地质背景,探讨各矿物分区的物质来源。矿物组合分区表明研究区物质来源变化较为复杂:(1)在楚科奇海的中部靠近白令海峡处长石含量很高,主要是阿纳德尔流携带的来自阿纳德尔河的沉积物;在楚科奇海的西侧的长石含量也较高,且与其他矿物组合分区相比,角闪石含量较高,这是因为受阿纳德尔流和东西伯利亚沿岸流的双重影响,沉积物来自西伯利亚陆地的一些高含长石的火山岩及沉积岩等。在楚科奇海的东侧,石英含量很高,来源为阿拉斯加沿岸流携带的育空河及卡斯奎姆河的沉积物。在阿拉斯加北部,碳酸盐岩和石英含量高,这与马更些河搬运的沉积物有关;(2)北冰洋西部深水区中加拿大海盆的南端和中部方解石和白云石的含量较低,说明受波弗特环流携带的加拿大北极群岛的碳酸盐影响相对较小,且与其他矿物组合分区相比,云母含量最高,说明沉积物主要来源为来自拉普捷夫海的海冰沉积物;此外,一些黏土级细粒物质可能由大西洋中层水携带而来。深水区的其他海域以方解石和白云石含量高为特点,主要受波弗特环流的影响,来源主要为加拿大北极群岛的班克斯岛和维多利亚岛;此外,还受来自西伯利亚陆架,主要是拉普捷夫海沉积物的影响。  相似文献   

港池泊稳的能量平衡方程数值模拟     

李雪  董胜  陈更 《中国海洋大学学报(自然科学版)》2014,44(7):100-106

对基于能量平衡方程的多向随机波浪传播数学模型进行改进,通过模拟不同防波堤绕射引起的港池泊稳,验证模型的合理性和有效性。利用非线性弥散关系提高模型计算浅水变形的精度;采用二次逆风差分格式离散控制方程,避免了加入绕射项引起的数值耗散;并将文氏谱加入模型中,使其更加适合中国海域的工程应用。应用改进后模型绘制的双突堤和岛式防波堤绕射系数图与我国《海港水文规范》图进行了对比。对比结果十分接近,可以较好地描述港池的泊稳状况,为综合计算波浪在近岸的浅水变形、折射、绕射、反射和能量耗散等作用奠定了基础。  相似文献   

X射线衍射和电子探针技术在矿物药雄黄鉴定及质量评价中的应用     

汪寅夫  李清  刘琦  迟广成  伍月  胡建飞 《岩矿测试》2014,33(5):706-713

雄黄是我国常用的矿物类中药,由于晶体空间结构不同,可分为α雄黄(AsS)和β雄黄(As4S4)。雄黄受氧化作用会产生剧毒物质砒霜(As2O3),其中β雄黄因空间结构关系更易被氧化,因此对矿物药雄黄的成分鉴定和质量评价具有重要的意义。常用的分析雄黄中砷及其他元素的方法(原子吸收光谱法、电感耦合等离子体质谱法、高效液相色谱-质谱法等)是通过测定总砷、价态砷和其他相关元素实现对雄黄的鉴别和有害成分的检测,分析过程复杂,试剂消耗大,需对样品进行破坏,而且不能直接对矿物结构进行判定。本文采用薄片鉴定、X射线衍射和电子探针对来自代表性生产地贵州思南和湖南石门的6种药用雄黄样品进行鉴别和质量评价。首先通过薄片鉴定初步确定雄黄样品的主要成分及伴生矿物,进一步利用X射线粉晶衍射和电子探针技术对雄黄的主要成分、伴生矿物进行半定量分析,再利用电子探针研究雄黄中As、S、O等元素的赋存状态,在这些技术综合鉴定的基础上,对收集的雄黄进行质量评价。分析结果显示:产自贵州思南的1号矿药由石英(82.8%)、方解石(9.5%)和白云石(7.7%)组成,2号矿药由α雄黄(64.7%)和石英(35.3%)组成;产自湖南石门的6号矿药由β雄黄(86.5%)和电气石(13.5%)组成,3号和4号矿药由α雄黄单矿物组成,5号矿药由β雄黄单矿物组成,3号、4号和5号三个样品中As含量大于70%,符合药典规定;电子探针分析样品中均未检测到砒霜,总体上表明湖南产的雄黄品质较高。研究表明,X射线粉晶衍射法利用了衍射图谱与晶体结构的一一对应性,找到不同矿物药样品的专属特性,而对于多组分矿物药样品,只要混合组分恒定,其衍射图谱就相对稳定,具有指纹特征;电子探针利用As、O等元素的赋存状态,可以有效地对雄黄的质量进行评价。X射线衍射和电子探针技术的结合用于鉴定雄黄矿物药是一种极为有效、可行的办法,与传统方法相比更为快速、经济。  相似文献   

X射线衍射法在天然气水合物研究中的应用   总被引：4，自引：2，他引：2  

刘昌岭  孟庆国 《岩矿测试》2014,33(4):468-479

天然气水合物是一种由气体分子(包括烃类和CO2、H2S等非烃类气体)和水分子在高压低温环境中形成的笼型水合物,主要有Ⅰ型(立方晶体结构)、Ⅱ型(菱形晶体结构)和H型(六方晶体结构)三种晶体结构。研究水合物的结构特征及变化规律,对于认识水合物形成机理、微观动力学、相态转化及水合物样品鉴定等具有重要意义。X射线衍射(XRD)是一种利用X射线照射晶体(或某些非晶态物质)时产生的衍射来研究晶体内部结构(即内部原子排布)的分析技术。该技术应用于天然气水合物研究,不仅能准确获取水合物的结构类型及晶格参数等重要信息,还能观测水合物生成分解的微观动力学过程。本文阐述了XRD技术应用于水合物结构特征研究、水合物生成/分解动力学过程原位观测以及野外水合物样品鉴定等方面的研究进展。已知结构Ⅰ型和Ⅱ型水合物立方晶体的边长分别约为12.0×10-10m和17.3×10-10m,而结构H型水合物六方晶体a轴和c轴的边长分别约为12.2×10-10m和10.0×10-10m,因此,通过XRD技术准确测量水合物晶体的晶格参数,即可判定水合物晶体的结构类型,该技术在国外已应用于海洋和冻土区钻获的天然气水合物样品鉴定并获得结构信息。此外,通过测定不同条件下生成的水合物晶体参数的变化,可研究水合物的结构转换及其影响规律,研究表明混合气体的组成、客体分子体积及直径大小、温度等都对水合物晶体参数及结构产生影响。通过在高压环境下的XRD原位技术,可测定水合物的生成与分解过程中衍射峰的变化,研究水合物生成/分解动力学过程,研究表明水合物生成/分解主要分两个阶段,即在气液(固)表面的快速生成/分解过程及气体分子在液(固)体内部的扩散过程,后一个阶段控制着反应速度。目前,国外在水合物研究中应用XRD技术已相对成熟,而我国才刚刚起步。本文认为,将XRD技术应用到天然气水合物的研究中,可解决水合物的结构类型鉴别及晶格参数测量等基本的科学问题,而且XRD技术与核磁共振、红外光谱、X-CT等分析技术的联用,尚有很大的发展空间,将为天然气水合物相关的理论研究提供强有力的技术支撑。  相似文献   

Mineralogy and major-element geochemistry of the lower Permian Greta Seam,Sydney Basin,Australia     

L. Zhao  C. R. Ward  D. French  I. T. Graham 《Australian Journal of Earth Sciences》2014,61(3):375-394

The mineralogy of the high-volatile bituminous coals and associated strata from the Greta seam, Sydney Basin, Australia, has been evaluated in this study. Although the seam is not immediately overlain by marine strata, percolation of marine water into the original peat bed is indicated by the petrological, mineralogical and geochemical characteristics, which resemble those of coals with marine roof strata. The upper and lower sections of the seam have contrasting mineralogy. Pyrite typically comprises 40 to 56 wt% of the mineral assemblage in the marine-influenced upper part of the seam section. The lower part contains much less pyrite (typically <5 wt%, organic-free basis), and also relatively abundant dawsonite (up to 14 wt%, organic-free basis). The minerals within most coal plies are largely of authigenic origin. These include pyrite, siderite, clay minerals (mainly kaolinite and Na-rich mixed-layer illite/smectite), and quartz, most of which have a relatively early, syngenetic origin. Minor Ti-bearing minerals, anatase or rutile, and phosphate minerals, fluorapatite and goyazite, were probably also formed during early diagenesis. Other minerals have features that indicate late-stage precipitation. These include abundant cleat- and fracture-filling dawsonite, which may be the result of reactions between earlier-precipitated kaolinite and Na₂CO₃- or NaHCO₃-bearing fluids. Minor albite may also be epigenetic, possibly precipitated from the same Ca–Al bearing fluids that formed the dawsonite. The most abundant detrital minerals in the Greta coals are quartz, poorly ordered kaolinite, illite and mixed-layer illite/smectite (I/S). These occur mainly in the floor, roof and other epiclastic horizons of the seam, reflecting periods of greater clastic influx into those parts of the original peat-forming environment. Detrital minerals are rare in the coals away from the epiclastic horizons, probably owing to almost complete sediment bypassing in the depositional system. Alternatively, any detrital minerals that were originally present may have been leached from the peat bed by diagenetic or post-diagenetic processes.  相似文献   

风化作用对铁陨石矿物学特征影响的探讨     

张翰林  李艳  王时麒 《岩石矿物学杂志》2014,33(S2):185-192

本文对南丹IIICD铁陨石的矿物学特征进行了研究,并与同为铁陨石但化学分类不同的阿根廷IAB铁陨石和西伯利亚IIB铁陨石进行了对比,重点探讨了风化作用对铁陨石矿物学特征的影响.首先用偏光显微镜、静水称重、扫描电镜观察了样品的基本矿物学特征和微形貌特征,然后用振动式样品磁强计、X射线衍射与电子探针能谱半定量测试研究了样品的磁学性质、物相和化学组成.研究结果表明,南丹铁陨石在较强的自然风化作用下,光泽变弱为土状光泽,相对密度降低;风化产生的反铁磁性物质会使陨石的磁性下降;另外,样品表面物相组成也发生较大变化,以针铁矿(FeOOH)和磁铁矿(Fe₃O₄)等铁的次生矿物为主;但风化壳以下的矿物物相及化学成分均未发生明显变化,以Fe、Ni为主的铁纹石、镍纹石物相存在.  相似文献   

Wave diffraction and near-trapping by a multi-column gravity-based structure   总被引：1，自引：0，他引：1  

D.A.G. Walker  R. Eatock Taylor  P.H. Taylor  J. Zang   《Ocean Engineering》2008,35(2):201-229

This paper is concerned with the diffraction of water waves by offshore structures, with the ultimate aim of proposing tools for guiding airgap design. The diffraction of monochromatic waves by an array of four bottom mounted cylinders and a gravity-based structure is studied in detail using linear and second order theory. The phenomenon of near-trapping is investigated, allowing guidelines for airgap design to be established. When contemplating airgap design, however, it is crucially important that consideration is given to the largest waves in a sea state. Therefore, in this study a design wave, called NewWave, is proposed as a realistic model for large ocean waves and is used as the incident wave field in the wave-structure diffraction analysis.  相似文献