Wave Motion最新文献

英文中文

Comprehensive modeling of elastic wave propagation in porous viscoelastic media incorporating fractional-order derivative under welded and loose boundary conditions 含分数阶导数的多孔粘弹性介质在焊接和松散边界条件下弹性波传播综合建模

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-07-14 DOI: 10.1016/j.wavemoti.2025.103609

Lijuan Chu , Li Li , Yang Liu

The complexity and diversity of Earth materials pose significant challenges to seismic detection techniques, especially in oil and gas exploration. The development and application of the viscoelastic theory and microscopic flow theory of porous fluids have made the analysis of elastic wave propagation information one of the main methods of detection. This study investigates the propagation characteristics of elastic waves in a sandwich structure, which comprises of layers of elastic, porous viscoelastic and viscoelastic solids, placed on top of each other. The fractional order Zener model, Biot-squirt flow (BISQ) model, and non-Newtonian fluid theory are employed to describe the viscoelasticity of the solid frame, microscopic flow of porous fluids, and viscosity of porous fluids, respectively. To our knowledge, existing studies on unwelded bonded boundary conditions have not yet incorporated the BISQ model and fractional derivative theory. We aim to address this critical knowledge gap. Both welded and loose boundary conditions have been taken into account in our model. Graphical representations illustrate the numerical simulation findings. Our study suggests that the viscoelasticity of solid frame, the flow characteristics of porous fluids, welded and loose boundary condition have significant impact on the propagation properties of elastic waves. Hence, the study of the above factors in Earth materials will appropriately describe the subsequent dissipation of seismic wave energy and the analysis of stratigraphic structures and soil properties.

地球物质的复杂性和多样性给地震探测技术带来了巨大的挑战，特别是在石油和天然气勘探中。多孔流体粘弹性理论和微观流动理论的发展和应用，使弹性波传播信息的分析成为检测的主要方法之一。本文研究了弹性波在夹层结构中的传播特性，夹层结构由弹性层、多孔粘弹性层和粘弹性固体层相互叠加而成。采用分数阶Zener模型、Biot-squirt flow （BISQ）模型和非牛顿流体理论分别描述了固体骨架的粘弹性、多孔流体的微观流动和多孔流体的粘度。据我们所知，现有的非焊接粘结边界条件的研究尚未纳入BISQ模型和分数阶导数理论。我们的目标是解决这一关键的知识差距。模型中考虑了焊接边界条件和松散边界条件。图形表示说明了数值模拟结果。研究表明，固体框架的粘弹性、多孔流体的流动特性、焊接和松散边界条件对弹性波的传播特性有显著影响。因此，对地球材料中上述因素的研究将适当地描述地震波能量的后续耗散以及对地层结构和土壤性质的分析。

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引用次数: 0

Novel solitary patterns in a class of regularized Gardner equations 一类正则Gardner方程中的新孤立模式

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-07-11 DOI: 10.1016/j.wavemoti.2025.103603

Philip Rosenau , Alexander Oron

We introduce and study a class of equations that merge the Gardner’s-type, non-convex, advection with regularized long-wave dispersion, also known as Benjamin–Bona–Mahony equation, to the effect that unlike the unidirectional Gardner solitons, the presented model supports bidirectional propagation of at least three types of solitary waves and begets a whole gallery of chase and collision interactions. Among the novel features of our model, we mention the possibility that one of the solitons reverses its direction upon interaction with another soliton. Extension of the model to higher dimensions typically causes the newly found solitary waves to split into a countable sequence of multi-modal solitary waves wherein either mode’s amplitude increases with its modality, or the modes condense near their potential’s top.

我们引入并研究了一类将加德纳型非凸平流与正则长波色散（也称为benjaminbona - mahony方程）合并在一起的方程，其效果与单向加德纳孤子不同，所提出的模型支持至少三种类型的孤立波的双向传播，并产生一整套追逐和碰撞相互作用。在我们模型的新特征中，我们提到了其中一个孤子在与另一个孤子相互作用时改变方向的可能性。将模型扩展到更高的维度通常会导致新发现的孤立波分裂成多模态孤立波的可数序列，其中任一模态的振幅随其模态而增加，或者模态在其势的顶部附近凝聚。

引用次数: 0

Acoustic axes conditions revised 修正的声轴条件

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-07-07 DOI: 10.1016/j.wavemoti.2025.103602

Yakov Itin

The explanation of the basic acoustic properties of crystals requires a recognition of the acoustic axes. To derive the acoustic axes in a given material, one requires both a workable method and the necessary and sufficient criteria for the existence of the acoustic axes in a partial propagation direction. This paper’s primary input is an alternate minimal polynomial-based system of acoustic axes conditions. In this approach, we derive a novel additional characteristic of acoustic axes: the directions in which the minimal polynomial of the third order is reduced to that of the second order. Next, we offer a general solution, that utilizes a scalar and a unit vector for defining the acoustic tensor along the acoustic axis. It is shown that the scalar matches the eigenvalue of the reduced acoustic tensor, and the vector corresponds to the polarization into the single eigenvalue direction. We use the minimal polynomial construction to demonstrate the equivalence of different acoustic axis criteria. We demonstrate the applicability of this approach to actual computations of the acoustic axes and their fundamental properties (phase speeds and polarizations) for high symmetry cases, such as isotropic materials and RTHC crystals.

要解释晶体的基本声学特性，就必须认识声轴。为了推导给定材料中的声轴，既需要一种可行的方法，又需要在部分传播方向上存在声轴的必要和充分的准则。本文的主要输入是一个基于交替最小多项式的声轴条件系统。在这种方法中，我们导出了声轴的一个新的附加特征：三阶最小多项式降为二阶最小多项式的方向。接下来，我们提供了一个通用的解决方案，它利用一个标量和一个单位向量来定义沿着声学轴的声学张量。结果表明，标量与约简声张量的特征值相匹配，矢量对应于单特征值方向的极化。我们用最小多项式构造证明了不同声轴准则的等价性。我们证明了这种方法在高对称性情况下（如各向同性材料和RTHC晶体）声轴及其基本特性（相速度和极化）的实际计算中的适用性。

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引用次数: 0

Numerical investigation into acoustic wave propagation in felt-type material with band gap and negative group velocity 声波在带隙和负群速毡型材料中传播的数值研究

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-07-03 DOI: 10.1016/j.wavemoti.2025.103600

Maria M. Vuin, Dmitri Kartofelev, Andrus Salupere, Päivo Simson

In this paper acoustic wave propagation through nonlinear porous felt-like material is studied numerically. A 1D model equation based on the experimentally obtained constitutive relation is used. A dispersion and dissipation analysis are performed. The possible effects of band gap (BG) and negative group velocity (NGV) on the wave propagation are investigated. For this reason, the propagation of pulses with characteristic widths corresponding to wavenumbers that are located in and near the BG and the region with NGV are studied. It is claimed that if the material loading and unloading timescale is much too great in comparison to the felt relaxation time, then any possible contribution of BG and NGV on the wave shape evolution is negligibly small. Paper concludes that felts are not metamaterials with noteworthy properties. Possible reasons for these conclusions are given. It is obvious that the proper understanding of NGV phenomenon will lead to significant breakthroughs in unwoven fibrous felt-type material engineering and applications. These applications may include vibration and noise control and even wave manipulation.

本文对声波在非线性多孔毡状材料中的传播进行了数值研究。采用基于实验得到的本构关系的一维模型方程。进行了色散和耗散分析。研究了带隙（BG）和负群速度（NGV）对波传播的影响。因此，研究了位于BG及其附近和NGV区域的特征宽度与波数相对应的脉冲的传播。如果材料的加载和卸载时间尺度与感觉松弛时间相比太大，则BG和NGV对波形演变的任何可能贡献都可以忽略不计。论文的结论是，毛毡不是具有显著性能的超材料。给出了这些结论的可能原因。可见，正确认识NGV现象将导致非织造纤维毡型材料工程和应用的重大突破。这些应用可能包括振动和噪声控制，甚至波浪操纵。

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引用次数: 0

Fully explicit numerical scheme for linearized wave propagation in nearly-incompressible soft hyperelastic solids 近乎不可压缩软超弹性固体中线性化波传播的完全显式数值格式

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-07-01 DOI: 10.1016/j.wavemoti.2025.103594

Giulia Merlini, Jean-Marc Allain, Sébastien Imperiale

The numerical approximation of wave propagation problems in nearly or pure incompressible solids faces several challenges such as locking and stability constraints. In this work we propose a stabilized Leapfrog scheme based on the use of Chebyshev polynomials to relax the stability condition, which is strongly limited by the enforcement of incompressibility. The scheme is fully explicit, second order accurate and energy-preserving. For the space discretization we use a mixed formulation with high-order spectral elements and mass-lumping. A strategy is proposed for an efficient and accurate computation of the pressure contribution with a new definition of the discrete Grad-div operator. Finally, we consider linear wave propagation problems in nearly-incompressible hyperelastic solids subject to static preload.

近不可压缩或纯不可压缩固体中波传播问题的数值逼近面临着锁定和稳定性约束等挑战。在这项工作中，我们提出了一个基于使用切比雪夫多项式来放宽稳定性条件的稳定跃进方案，该方案受到不可压缩性的强制限制。该方案具有完全显式、二阶精度高、节能等特点。对于空间离散化，我们使用高阶谱元和质量集总的混合公式。通过对离散Grad-div算子的新定义，提出了一种高效准确计算压力贡献的策略。最后，我们考虑了在静力预载作用下几乎不可压缩的超弹性固体中的线性波传播问题。

引用次数: 0

Investigating Rayleigh wave anisotropy in faulted media with three-component beamforming: Insights from numerical models and applications for geothermal exploration 利用三分量波束形成研究断层介质中的瑞利波各向异性：来自数值模型的见解及其在地热勘探中的应用

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-06-27 DOI: 10.1016/j.wavemoti.2025.103596

Heather Kennedy , Claudia Finger , Katrin Löer , Amy Gilligan

Rayleigh waves are prevalent in the ambient seismic noise wavefield and are thus often exploited in passive seismic methods to characterise the near subsurface. In fractured or faulted media, Rayleigh waves show anisotropic velocities that could provide information on the fault properties. However, the exact relationship between Rayleigh wave anisotropy and true anisotropic structures is not well known. This study used a three-component (3C) beamforming toolbox to analyse numerical full waveform seismic wave propagation from conceptual models of fractured media, which depict the nonlinear physical behaviour of the wave. We identify Rayleigh waves in the synthetic data produced from a single point source at different locations, compare observed Rayleigh wave anisotropy to structural anisotropy, and assess the effect array design and source distance have on Rayleigh wave analysis and observed anisotropy. Numerical analysis shows that the smaller the velocity contrast between fault and surrounding rock, the more complex the anisotropic response. We find that the slow directions of Rayleigh wave propagation can be a better indicator of fault strike than the fastest direction, when the velocity contrast between the two media is small.

瑞利波在环境地震噪声波场中很普遍，因此经常在被动地震方法中利用瑞利波来表征近地下。在断裂或断层介质中，瑞利波显示出各向异性的速度，可以提供断层性质的信息。然而，瑞利波各向异性与真正的各向异性结构之间的确切关系尚不清楚。本研究使用三分量（3C）波束形成工具箱，从裂缝介质的概念模型中分析数值全波形地震波传播，该模型描述了波的非线性物理行为。在不同位置的单点源合成数据中识别瑞利波，比较观测到的瑞利波各向异性和结构各向异性，评估阵列设计和震源距离对瑞利波分析和观测到的各向异性的影响。数值分析表明，断层与围岩速度差越小，各向异性响应越复杂。我们发现，当两种介质之间的速度差较小时，瑞利波传播的慢方向比最快方向能更好地指示断层走向。

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引用次数: 0

Propagation of acoustic solitons in a nonlinear left-handed transmission line 非线性左传输线中声学孤子的传播

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-06-27 DOI: 10.1016/j.wavemoti.2025.103597

Dahirou Mahmoud , Saïdou Abdoulkary , L.Q. English , Alidou Mohamadou

We study analytically and numerically acoustic soliton propagation in a nonlinear left-handed transmission line with nonlinear elements that incorporate Helmholtz resonators. We propose a theoretical model of the system integrating acoustic compliance with nonlinear effects, which relies on a transmission-line approach. Importantly, by means of a semi-discrete approximation, we can derive a nonlinear Schrödinger equation and thus show that the system supports both bright and dark acoustic solitons depending on the choice of carrier frequency. The values of the Helmholtz resonators parameters strongly influence the frequency bands, the stability of the waves, as well as their propagation. We perform systematic numerical simulations of the Nonlinear Schrödinger equation (NLSE) to show the spectral stability/instability of the initial waves. We then demonstrate that the nonlinear discrete lattice model can support the propagation of the solitons borrowed from the NLSE. Our findings suggest that the predicted structures are quite robust and the acoustic solitons persists throughout long simulation times.

本文对含亥姆霍兹谐振腔的非线性元件的非线性左传输线中声学孤子的传播进行了解析和数值研究。我们提出了一个将声学顺应性与非线性效应相结合的系统理论模型，该模型依赖于在线传输方法。重要的是，通过半离散近似，我们可以推导出一个非线性Schrödinger方程，从而表明系统根据载波频率的选择同时支持亮孤子和暗孤子。亥姆霍兹谐振腔参数的取值对波的频带、稳定性和传播有很大的影响。我们对非线性Schrödinger方程（NLSE）进行了系统的数值模拟，以显示初始波的谱稳定性/不稳定性。然后，我们证明了非线性离散晶格模型可以支持从NLSE借来的孤子的传播。我们的研究结果表明，预测的结构相当稳健，并且声孤子在长时间的模拟中持续存在。

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引用次数: 0

PT symmetry preserving, symmetry breaking and propagation behaviors in degenerate and non-degenerate solitons beyond the nonlocal Manakov system 非局部Manakov系统外简并和非简并孤子中的PT对称保持、对称破缺和传播行为

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-06-25 DOI: 10.1016/j.wavemoti.2025.103593

Yang-Yang Du , Yan-Nan Zhao , Rui Guo , Jian-Wen Zhang

It is known that the four-wave mixing (FWM) not only serves as the basic paradigm for optical signal processing but can also result in the generation of more complex wave phenomena. In this paper, we investigate the properties of non-degenerate and degenerate solitons and their relevant collision dynamics for the generalized nonlocal Manakov system, which contains the FWM term. To start with, non-degenerate one-soliton solutions are derived by the Hirota’s bilinear method, and degenerate one- and two-soliton solutions (under specific restrictions on wave numbers) are also obtained in this way. Then, we illustrate the implications of the FWM for the humps of non-degenerate solitons briefly. To learn about the features of the nonlocalization, we obtain

P T

symmetry preserving and symmetry breaking soliton solutions, and identify stable and unstable propagations of soliton evolution for different modes. Given that the propagations of the mixed modes are stable, we investigate two discrepant types of collisions for degenerate two-soliton solutions, which are shown not to be conserved in energy for the individual solitons after the asymptotic analyses are constructed. This energy non-conservation characteristic of the collisions is in contrast to the nonlocal Manakov system, which is attributed to the FWM. Finally, taking into account the particularity of wave velocity, we also present the localized resonant pattern for different collisions.

众所周知，四波混频（FWM）不仅是光信号处理的基本范例，而且可以导致更复杂的波现象的产生。本文研究了包含FWM项的广义非局部Manakov系统的非简并孤子和简并孤子的性质及其相关的碰撞动力学。首先，利用Hirota的双线性方法推导了非简并单孤子解，并以此方法得到了简并单孤子解和简并单孤子解（在特定波数限制下）。然后，我们简要地说明了FWM对非简并孤子峰的影响。为了了解非局域化的特征，我们获得了PT对称保持和对称破缺孤子解，并识别了不同模式下孤子演化的稳定和不稳定传播。假设混合模的传播是稳定的，我们研究了简并双孤子解的两种不同类型的碰撞，在构造渐近分析后，证明了它们对单个孤子不守恒。这种碰撞的能量非守恒特性与归因于FWM的非局部Manakov系统相反。最后，考虑到波速的特殊性，给出了不同碰撞的局部共振模式。

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引用次数: 0

Dynamics and interactions of bound-state Solitons for a coupled Hirota system with negative coherent coupling 负相干耦合Hirota系统束缚态孤子的动力学与相互作用

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-06-24 DOI: 10.1016/j.wavemoti.2025.103592

Xue-Hui Zhao , Guo-Hong Yang , Zhong-Zhou Lan

In this paper, We investigate the dynamics and interactions of bound-state solitons in a coupled Hirota system with negative coherent coupling. Using the

N

th-order binary Darboux transformation, we derive

N

-soliton solutions and analyze four distinct cases of bound-state soliton dynamics through spectral parameter constraints. Our results demonstrate how the higher-order perturbation parameter

ɛ

modulates nonlinear coupling, governing transitions between fusion, fission, and mixed interaction states. These findings provide new insights into soliton manipulation in nonlinear optical media and complex coupled systems, with potential applications in optical communications and signal processing.

本文研究了具有负相干耦合的Hirota系统中束缚态孤子的动力学和相互作用。利用n阶二元达布变换，导出了n孤子解，并通过谱参数约束分析了四种不同的束缚态孤子动力学。我们的结果证明了高阶扰动参数如何调节非线性耦合，控制聚变、裂变和混合相互作用状态之间的转换。这些发现为非线性光介质和复杂耦合系统中的孤子操纵提供了新的见解，在光通信和信号处理方面具有潜在的应用前景。

引用次数: 0

Low-frequency sub-Bragg phenomena in multilayered vibroacoustic metamaterials 多层振动声学超材料中的低频亚bragg现象

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion

Pub Date : 2025-06-23 DOI: 10.1016/j.wavemoti.2025.103601

Majdi O. Gzal , Lawrence A. Bergman , Kathryn H. Matlack , Alexander F. Vakakis

Beyond classical Bragg diffraction, we report on new sub-Bragg phenomena to achieve broadband low-frequency sound manipulation at the sub-wavelength scale in a multilayered vibroacoustic metamaterial. Remarkably, we unveil the formation of genuinely sub-wavelength Bragg-like band-splitting induced bandgaps, generalizing the "band-folding induced bandgaps" in the literature. Additionally, we propose a methodology to widen sub-wavelength local resonance bandgaps by hosting two local resonances within the same bandgap. These sub-Bragg phenomena are realized at low frequencies in an axisymmetric vibroacoustic metamaterial consisting of repetitive multilayered unit cells, each composed of two layers of membrane-cavity resonators. The coupled sound-structure interaction is solved exactly. The studied system exhibits sub-wavelength acoustical transparency, akin to “electromagnetically induced transparency”, and an acoustic analogue of "plasma oscillations". We derive canonical conditions for the emergence of band-splitting bandgaps, showing they are exclusive to multilayered configurations. These band-splitting bandgaps resemble Bragg bandgaps in their attenuation, band-crossing capabilities, and potential to host topological interface states. We also reveal that classical geometric Bragg diffraction does not apply to the periodic multilayered vibroacoustic configurations examined. The studied sub-wavelength phenomena unlock new possibilities for controlling low-frequency wave propagation in the sub-Bragg regime. Design guidelines for maximizing bandgap width within the low-frequency regime are provided, and the attenuation performance across different bandgaps is demonstrated through numerical simulations. We anticipate that our findings, while demonstrated here in vibroacoustic metamaterials, provide a promising approach for advanced acoustic devices, and could inspire future work exploring similar sub-wavelength mechanisms in other classes of physical systems.

除了经典的布拉格衍射之外，我们报道了在多层振动声学超材料中实现亚波长尺度宽带低频声音操纵的新亚布拉格现象。值得注意的是，我们揭示了真正的亚波长类布拉格带分裂诱导带隙的形成，推广了文献中的“带折叠诱导带隙”。此外，我们提出了一种方法，以扩大亚波长局域共振带隙通过承载两个局域共振在同一带隙。这些亚布拉格现象是在轴对称振动声学超材料中实现的，该材料由重复的多层单元胞组成，每个单元胞由两层膜腔谐振器组成。得到了声-结构耦合作用的精确解。所研究的系统表现出亚波长的声学透明，类似于“电磁感应透明”，以及“等离子体振荡”的声学模拟。我们推导了带裂带隙出现的典型条件，表明它们是多层结构所独有的。这些带分裂带隙在衰减、带穿越能力和承载拓扑界面状态的潜力方面类似于Bragg带隙。我们还揭示了经典的几何布拉格衍射并不适用于周期性多层振动声结构。所研究的亚波长现象为控制亚布拉格区低频波传播打开了新的可能性。提供了在低频范围内最大化带隙宽度的设计准则，并通过数值模拟证明了不同带隙的衰减性能。我们预计，我们的发现，虽然在振动声学超材料中得到了证明，但为先进的声学设备提供了一种有前途的方法，并可能激发未来在其他物理系统中探索类似亚波长机制的工作。

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