“多通道数字成像超声探伤设备”项目简介

高波阻介质下面多层低波阻抗介质的界面脱粘检测是长期以来国内外一直没有解决的世界性难题，称为“二界面问题”。困难主要有两点：其一、高波阻介质与低波阻介质之间的界面两侧波阻抗相差较大，前一介质表面上接收到的界面脱粘反射信号相对入射信号而言是经过了4次镜面屏蔽作用之后的十分微弱的信号；其二、声波在高波阻介质内的多次反射强信号淹没了低波阻介质表面反射的信号。对于高低波阻介质界面间脱粘的超声检测，犹如光学中兽看到一个双面镜子后面的物体一样。     

基于群论及谐振子模型的声传播方法的研究

本文基于谐振子及群论方法,对声在空气中传播建立了一个新的哈密顿数学模型。研究将分子链作为一系列谐振子组合,声传播以能量的形式传播,对于介质里的每个振动的质点而言,它总是在不断地吸收和放出能量。从能量的概念出发,将声传播问题转换成求解谐振子的波函数以及能量本征值的问题。本文将谐振子模型引入到气体声波传播的问题中,在确定气体声波传播过程中的分子振动模式、能级简并时,引入群论,以探索气动声学研究的新方法。     

有效测量套管井泄漏Lamb波衰减的实验研究

低密度水泥在油气井中的广泛应用使得常规的声阻抗类测井方法难以准确、有效地评价固井质量,而声波倾斜入射在套管中激发的弯曲型Lamb波对水泥的性质及胶结情况具有很高的分辨能力,能够很好地解决低密度水泥的固井质量评价问题。弯曲型Lamb波对套管后介质声学信息的响应反映在声波衰减中,因此该文通过实验研究了激发弯曲型Lamb波的有效方式,分析了声波入射和接收角度对Lamb波衰减的影响。实验结果表明,入射和接收角度在一定范围内变化时,虽然激发出的Lamb波模式均为弯曲型Lamb波,但在同一套管模型下测量的声波衰减值会有差异,选择激发弯曲型Lamb波的最有效方式,计算得到的Lamb波衰减对套管后介质的灵敏度才会最高。     

基于波前传播时间插值的三维声线追踪算法

研究了先正向计算波前传播时间,再根据波前传播时间反向确定声线路径的三维非均匀介质声线追踪算法。在正向步骤,根据程函方程,使用基于水平集的GMM(Group Marching Method)波前扩展算法,从声源开始,逐步计算离散介质网格节点上的波前传播时间。在反向步骤,利用正向步骤计算出的网格节点上的波前传播时间,从接收点开始,向声源方向逐单元追踪声线路径。在每个长方体单元内,首先把任意点上的波前传播时间用该单元网格节点上的已知波前传播时间的线性插值函数来表示,再根据Fermat原理,提出了确定三维声线路径的方法。实验结果表明,本文方法提高了三维声线追踪的精度和计算速度。     

含气泡液体中的非线性声传播

考虑到分布在液体中的气泡是声波在含气泡液体中传播时引起非线性的一个很重要的因素,本文研究了声波在含气泡液体中的非线性传播.将气体含量的影响引入到声波在液体中传播的方程中,从而得到声波在气液混合物中传播的数学模型.通过对该模型进行数值模拟发现,气体含量、驱动声场声压幅值及驱动声场作用时间均会影响到气液混合物中的声场分布及声压幅值大小.液体中的气泡会"阻滞"液体中声场的传播并将能量"聚集"在声源附近.对于连续大功率的驱动声场来说,液体中的气泡会"阻滞"气液混合物中声场及其能量的传播.     

声波在一维易膨胀介质中传播的计算机模拟

建立了一种新的介质模型，其弹性模量在声波处于压缩状态时较大，而在膨胀状态时较小. 在这种介质中，纯的压缩或膨胀波的传播特性与一般弹性介质类似，只是它们分别以压缩声 速或膨胀声速传播.但当它们在某一区域中同时存在时，它们之间会相互耦合，产生非常强 的非线性效应.对这两种波在对行和追赶两种情况的耦合特性作了详细地模拟计算.结果显示 在两种情况下，压缩波和膨胀波的耦合均会造成体系的膨胀.体系的膨胀与压缩弹性模量和 膨胀弹性模量的相对差有关.此外，还对弹性模量随声波压力连续变化的体系进行了模拟计 算.结果证实由非连续变化的弹性模量所得的结论可由连续变化的弹性模量的极限情况得到. 关键词： 颗粒物质 声波 弹性介质     

粗晶材料晶粒散射波的实验鉴别

在利用超声波束对粗晶材料样品或工件进行检测时，接收回波中，除伤波、底波外，还存在晶粒散射波及其它干扰杂波。本文对晶粒散射波主要特征：晶粒散射波随传播时间出现的最大值位置；晶粒散射波最早到达时间；以及传播过程中晶粒散射波的频谱特性进行了实验验证。其中，用脉冲频谱合成方法，计算了双探买发．收复合声场声轴上声压分布，据此对最大值的出现位置给予了物理解释。并用短时傅立叶变换分析了声波传播过程中晶粒散射波的频谱特性。获得了一些有用结果。     

发展储层声学理论，创新深部钻测技术 —— “储层声学论文专栏”主编序言

“储层声学”属于多相孔隙固体介质声学的研究范畴,它是研究声波在储层中的产生、传播、接收及声波与储层相互作用及应用等的一门学问。储层声学从提出到现在有十多年的发展历史,它虽是一个年轻的声学分支,但它是在面向地震勘探和地震储层预测等基础问题上发展起来的,且在实际需求的驱动下发展迅速。储层声学要回答以下问题:声波是如何在孔隙性、裂缝性及各向异性的多相储层介质中传播的,组成储层的各组分及特性等对声波的传播是如何影响的,如何利用这些声学特征来描述储层的组分和特性以及声波引起的各种物理效应与储层是如何相互作用的。     

非均匀饱含黏性流体孔隙介质中声波传播及井孔声场分析

声波在饱含流体孔隙介质中的传播特性与流体的黏滞性及孔隙介质的非均匀性密切相关.本文在Biot理论基础上,考虑了孔隙流体的剪切应力及孔隙结构的非均匀性,采用含黏性流体孔隙介质中的波动理论,研究了孔隙介质中四种体波的频散和衰减特性,分析了慢横波对快纵波转换散射的影响,进一步推导了孔隙地层井孔中的模式波及其声场的解析解,研究了非均匀孔隙介质中井孔模式波和波列的特征.研究结果表明,含黏性流体孔隙介质中存在慢横波,慢横波的频散很强,其传播特征受到介质孔隙度、渗透率及孔隙流体黏度的影响.在非均匀孔隙介质中,与慢横波相关的剪切应力平衡过程不仅导致快纵波的频散和衰减,还会影响井孔伪瑞利波及斯通利波的传播特征.本文的工作完善了孔隙介质中声波传播的物理机制,为孔隙地层井孔声波的解释与应用提供了理论指导.     

椭球三维液态声子晶体完全声波禁带研究

弹性波在声子晶体中传播时，会产生一定的频率禁带，声和振动在禁带中被禁止传播。本文将椭球散射体引入三维声子晶体中，采用平面波展开法计算了该系统的声波禁带结构。对于不同椭球半径的系统，其声波禁带的位置与大小有很大不同。结果表明：当晶格常数和填充率确定时，禁带受到椭球半径的影响；当确定椭球体的某一个半径和填充率时，第一禁带的最大值出现在另2个半径相等的情况下。     

The prediction of sound fields in non-diffuse spaces by a “random walk” approach

A Markov process, representing random walks of acoustical phonons in an enclosure, is used to predict the steady state high frequency sound pressure levels in complex internal spaces, excited by an omni-directional point source. In the theory, developed from work by Gerlach, one considers the three dimensional random walks of phonons inside an enclosure of any internally complex geometry. The sound pattern is derived by considering the probability that a phonon, leaving some source, will radiate to a particular wall, undergo a certain path of successive reflections, and be radiated to a detection point. The spatial density of phonons, at a given location, arising from a large ensemble of phonons traversing different random paths, gives rise to an intensity. Knowledge of the sound intensity at a suitable number of detection points, in a regularly spaced lattice, enables the sound field inside an enclosure to be estimated. The advantages of this approach, over others is that, in determining the location of each phonon, and hence the sound intensity, room shape and mutual relationships among internal partitions, and, subsequently, the past history of the phonon, are all taken into account.     

Statistical modelling of the backscattered field in a one-dimensional non-stationary stochastic problem

Within the framework of an exact wave approach in the spatial-time domain, the one-dimensional stochastic problem of sound pulse scattering by a layered random medium is considered. On the basis of a unification of methods which has been developed by the authors, previously applied to the investigation of non-stationary deterministic wave problems and stochastic stationary wave problems, an analytical-numerical simulation of the behaviour of the backscattered field stochastic characteristics was carried out. Several forms of incident pulses and signals are analysed. We assume that random fluctuations of a medium are described by virtue of the Gaussian Markov process with an exponential correlation function. The most important parameters appearing in the problem are discussed; namely, the time scales of diffusion, pulse durations, the medium layer thickness or the largest observation time scale in comparison with the time scale of one correlation length for the case of a half-space. An exact pattern of the pulse backscattering processes is obtained. It is illustrated by the behaviour of the backscattered field statistical moments for all observation times which are of interest. It is shown that during the time interval when the main part of the pulse energy leaves the medium, the backscattered field is a substantially non-stationary process, having a non-zero mean value and an average intensity that decays according to a power law. There are various power indices for the different duration incident pulses, however, they are not the same as those of previous papers, which were obtained on the basis of an approximate and asymptotic analysis. We have also verified that the Gaussian law is valid for the probability density function of the backscattered field in the case of any incident pulse duration.     

Statistical modelling of the backscattered field in a one-dimensional non-stationary stochastic problem

Abstract

Within the framework of an exact wave approach in the spatial-time domain, the one-dimensional stochastic problem of sound pulse scattering by a layered random medium is considered. On the basis of a unification of methods which has been developed by the authors, previously applied to the investigation of non-stationary deterministic wave problems and stochastic stationary wave problems, an analytical-numerical simulation of the behaviour of the backscattered field stochastic characteristics was carried out. Several forms of incident pulses and signals are analysed. We assume that random fluctuations of a medium are described by virtue of the Gaussian Markov process with an exponential correlation function. The most important parameters appearing in the problem are discussed; namely, the time scales of diffusion, pulse durations, the medium layer thickness or the largest observation time scale in comparison with the time scale of one correlation length for the case of a half-space. An exact pattern of the pulse backscattering processes is obtained. It is illustrated by the behaviour of the backscattered field statistical moments for all observation times which are of interest. It is shown that during the time interval when the main part of the pulse energy leaves the medium, the backscattered field is a substantially non-stationary process, having a non-zero mean value and an average intensity that decays according to a power law. There are various power indices for the different duration incident pulses, however, they are not the same as those of previous papers, which were obtained on the basis of an approximate and asymptotic analysis. We have also verified that the Gaussian law is valid for the probability density function of the backscattered field in the case of any incident pulse duration.     

On the appearance of caustics for plane sound-wave propagation in moving random media

In this paper we derive expressions for the probability densities of the appearance of the first caustic for a plane sound wave propagating in moving random media. Our approach generalizes the previous work by White et al. and Klyatskin in the case of motionless media. It allows us to calculate analytically the probability density functions for two- and three-dimensional media and to express these functions in terms of the diffusion coefficient. Explicit equations are given for Gaussian and von Karman spectra of velocity fluctuations. If the random scalar or vectorial fluctuations of the medium have the same contribution to the refractive-index fluctuations, we demonstrate that in a moving medium caustics appear at shorter distances than in a non-moving one. The two-dimensional version of the theory is tested by numerical simulations in the case of velocity fluctuations with Gaussian spectra. Numerical results are in very good agreement with the theoretical predictions.     

Multiple Scattering Solution of Millimeter Wave Propagation in Strong Sandstorm

As the operating frequencies of communication systems more higher into the millimeter wave range, and the density of particles in medium is more denser, the effects of multiple scattering in sandstorm become more significant. This paper treats the problems of electromagnetic multiple scattering in strong sandstorm by the Monte Carlo method. Based on the analytical theory of multiple scattering, the millimeter wave propagation and scattering in discrete random media are investigated by means of the particle-tracking technique. The millimeter wave is regarded as a Markov chain of wave particle collisions in a medium in which it is scattered and absorbed. Considering the effect of multiple scattering, millimeter wave attenuation induced by strong sandstorm is simulated numerically. The values of theoretical calculation are in good agreement with the measured results of simulated experiment at 34 and 93 GHz.     

One-dimensional numerical simulations of random sound impulses

Abstract

We perform one-dimensional numerical simulations of small-amplitude acoustic pulses in space- and time-dependent random mass density and time-dependent velocity fields. Numerical results reveal that: (a) random fields affect the speeds, amplitudes and, consequently, shapes of sound pulses; (b) for weak random fields and short propagation times the numerical data converge with the analytical results of the mean field theory which says that a space-dependent (time-dependent) random field leads to wave attenuation (amplification) and all random fields speed up sound pulses; (c) for sufficiently strong random fields and long propagation times numerical simulations reveal pulse splitting into smaller components, parts of which propagate much slower than a wave pulse in a non-random medium. These slow waves build an initial stage of a wave localization phenomenon. However, this effect can be very weak in a real three-dimensional medium.     

Polymers and random graphs

We establish a precise connection between gelation of polymers in Lushnikov's model and the emergence of the giant component in random graph theory. This is achieved by defining a modified version of the Erdös-Rényi process; when contracting to a polymer state space, this process becomes a discrete-time Markov chain embedded in Lushnikov's process. The asymptotic distribution of the number of transitions in Lushnikov's model is studied. A criterion for a general Markov chain to retain the Markov property under the grouping of states is derived. We obtain a noncombinatorial proof of a theorem of Erdös-Rényi type.     

Sound propagation and scattering in media with random inhomogeneities of sound speed,density and medium velocity

Abstract

This review presents both classical and new results of the theory of sound propagation in media with random inhomogeneities of sound speed, density and medium velocity (mainly in the atmosphere and ocean). An equation for a sound wave in a moving inhomogeneous medium is presented, which has a wider range of applicability than those used before. Starting from this equation, the statistical characteristics of the sound field in a moving random medium are calculated using Born-approximation, ray, Rytov and parabolic-equation methods, and the theory of multiple scattering. The results obtained show, in particular, that certain equations previously widely used in the theory of sound propagation in moving random media must now be revised. The theory presented can be used not only to calculate the statistical characteristics of sound waves in the turbulent atmosphere or ocean but also to solve inverse problems and develop new remote-sensing methods. A number of practical problems of sound propagation in moving random media are listed and the further development of this field of acoustics is considered.     

Sound propagation and scattering in media with random inhomogeneities of sound speed, density and medium velocity

This review presents both classical and new results of the theory of sound propagation in media with random inhomogeneities of sound speed, density and medium velocity (mainly in the atmosphere and ocean). An equation for a sound wave in a moving inhomogeneous medium is presented, which has a wider range of applicability than those used before. Starting from this equation, the statistical characteristics of the sound field in a moving random medium are calculated using Born-approximation, ray, Rytov and parabolic-equation methods, and the theory of multiple scattering. The results obtained show, in particular, that certain equations previously widely used in the theory of sound propagation in moving random media must now be revised. The theory presented can be used not only to calculate the statistical characteristics of sound waves in the turbulent atmosphere or ocean but also to solve inverse problems and develop new remote-sensing methods. A number of practical problems of sound propagation in moving random media are listed and the further development of this field of acoustics is considered.