Wave Motion最新文献

{"title":"Acoustic wave propagation in oil wells: A comparison between semi-analytical and finite element modeling approaches","authors":"Luis Paulo Brasil de Souza ,&nbsp;Juan Andrés Santisteban Hidalgo ,&nbsp;Tiago de Magalhães Correia ,&nbsp;Isabel Giron Camerini ,&nbsp;Guilherme Rezende Bessa Ferreira ,&nbsp;Antônio de Souza Rodrigues ,&nbsp;Alan Conci Kubrusly ,&nbsp;Arthur Martins Barbosa Braga","doi":"10.1016/j.wavemoti.2024.103487","DOIUrl":"10.1016/j.wavemoti.2024.103487","url":null,"abstract":"<div><div>Acoustic logging is one of the most used techniques for inspecting the integrity of oil wells. Traditional acoustic techniques have some limitations to analyze the condition of the cement layer of wells, such as the need for removing the production tubing, which is costly and time-consuming. This increased the interest in alternative solutions that allow the assessment of cement quality in multi-string wells. Acoustic-guided waves can be employed to inspect the cement condition in a multi-string scenario, which have recently shown to be promising, mainly regarding inspection through the production tubing. This article compares semi-analytical finite elements method and finite element method to model wave propagation in multilayered cylindrical media, mimicking an oil well under the presence of defects, in order to assess the integrity of oil wells either in the multi or single string well scenarios. In addition, a thorough investigation, through the application of the two-dimensional Fourier transform, was carried out to identify which guided wave mode is most affected by the presence and the severity of common downhole defects in the cement casing. Results show that, the semi-analytical finite element method can be used to identify guided wave modes that are more sensitive to defects in the cement layer and those that do not propagate. In general, the comparisons in the frequency domain for single or dual-string cases had good agreement, showing that the most considerable variation of the wavemodes occurs at slownesses below <span><math><mrow><mn>700</mn><mspace></mspace><mi>μ</mi><mi>s</mi></mrow></math></span>/m in the frequency range from 5 to 25 kHz. The semi-analytical method had a lower computational cost and faster mode acquisition speed than the finite element method. The semi-analytical method in single-string case was up to approximately 6.5 fold faster than the finite element method and, in the most complex case, it was 1.8 fold faster than the finite element method; whereas the semi-analytical method in dual-string case, the quickest case was approximately 3.5 fold faster than the finite element method and, the most complex case was 1.2 fold faster than the finite element method. Therefore, it was proven that the use of the semi-analytical finite element method is a viable alternative for the analysis of the integrity of oil wells.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103487"},"PeriodicalIF":2.1,"publicationDate":"2024-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143169419","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Non-collinear interaction of Rayleigh–Lamb and shear horizontal waves in a finite region in a plate","authors":"Yosuke Ishii,&nbsp;Tomoya Enoki ,&nbsp;Shiro Biwa","doi":"10.1016/j.wavemoti.2024.103488","DOIUrl":"10.1016/j.wavemoti.2024.103488","url":null,"abstract":"<div><div>Non-collinear interaction of guided elastic waves in a homogeneous and isotropic plate with quadratic material nonlinearity is analyzed theoretically to investigate the sum and difference frequency generation from a finite interaction region of primary waves. Using a perturbation approach and the time-harmonic Green function for isotropic plates, an explicit expression is derived for the displacement field of nonlinearly generated secondary waves when two primary monochromatic straight-crested Rayleigh–Lamb/shear horizontal waves intersect at an arbitrary angle in a right cylindrical region of arbitrary cross-section and height equal to the plate thickness. The resulting displacement observed far away from the interaction region in the direction of the wavevector of driving forces (i.e., the sum or difference of wavevectors of primary modes) is shown to grow in proportion to the interaction volume when the wavenumber of secondary mode coincides with that of driving forces with nonzero energy transfer from the primary to the secondary modes. The influence of the interaction volume and the intersection angle on the secondary wave field is investigated for a special case where the interaction region is a right circular cylinder. Furthermore, the non-collinear interaction generating the secondary mode with negative group velocity is also examined.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103488"},"PeriodicalIF":2.1,"publicationDate":"2024-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168965","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Wave evolution within the Cubic Vortical Whitham equation","authors":"Marcelo V. Flamarion ,&nbsp;Efim Pelinovsky","doi":"10.1016/j.wavemoti.2024.103485","DOIUrl":"10.1016/j.wavemoti.2024.103485","url":null,"abstract":"<div><div>In this work, we study the evolution of disturbances within the framework of the Cubic Vortical Whitham (CV-Whitham) equation, considering both positive and negative cubic nonlinearities. This equation plays important role for description of the wave processes in the presence of shear flows. We find well-formed breather-type structures arising from the evolution of depression disturbances with positive cubic nonlinearity. For elevation disturbances, the results are two-fold. When the cubic nonlinearity is negative, we show that the CV-Whitham equation and the Gardner equation are qualitatively similar, differing only by a small phase lag due to differences in the dispersion term. However, with positive cubic nonlinearity, the differences between the solutions become more pronounced, with the CV-Whitham equation producing sharper waves that suggest the onset of wave breaking.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103485"},"PeriodicalIF":2.1,"publicationDate":"2024-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168959","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Elastodynamic multiple scattering: Effective wavenumbers in three-dimensional elastic media","authors":"P.A. Martin ,&nbsp;V.J. Pinfield","doi":"10.1016/j.wavemoti.2024.103478","DOIUrl":"10.1016/j.wavemoti.2024.103478","url":null,"abstract":"<div><div>We derive expressions for the effective wavenumbers in a three-dimensional elastic medium with a low number density of embedded identical scatterers of arbitrary shape and random orientation. We adopt a classical approach addressing the half-space problem using standard vector spherical wavefunctions and their associated addition theorems. Both quasi-longitudinal and quasi-shear effective wavenumbers are obtained at first and second order in concentration by ensemble-averaging under the assumption of hard-sphere non-interacting scatterers, together with the quasi-crystalline approximation. We assume that the scatterer orientations are independent of each other and independent of position, and demonstrate that the ensemble averaging can be achieved by first taking an orientational average of the single-scatterer <span><math><mi>T</mi></math></span>-matrix before taking the positional average. The expressions for effective wavenumbers indicate the contributions of mode conversion (longitudinal to shear and vice versa) at second order in concentration.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103478"},"PeriodicalIF":2.1,"publicationDate":"2024-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168961","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Kelvin’s method of stationary phase?","authors":"P.A. Martin","doi":"10.1016/j.wavemoti.2024.103481","DOIUrl":"10.1016/j.wavemoti.2024.103481","url":null,"abstract":"<div><div>The method of stationary phase is a standard technique for estimating the value of an oscillatory integral when a certain parameter in the integrand becomes large. The basic method was sketched in 1887 by Sir William Thomson (before he became Lord Kelvin) in a short paper, and applied by him to problems in the theory of linear water waves. The contents, context and consequences of his paper are discussed. Inevitably, earlier authors (such as Stokes and Riemann) could stake claims on the method, but we leave it to the reader to decide, based on the evidence presented.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103481"},"PeriodicalIF":2.1,"publicationDate":"2024-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168960","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Propagation failure for traveling fronts of the Nagumo equation on a lattice","authors":"José Fernando Bustamante-Castañeda ,&nbsp;Gustavo Cruz-Pacheco","doi":"10.1016/j.wavemoti.2024.103483","DOIUrl":"10.1016/j.wavemoti.2024.103483","url":null,"abstract":"<div><div>In this work, we study the phenomenon of propagation failure for fronts in a bistable reaction–diffusion equation on a lattice in one and two dimensions. Using asymptotic methods and modulation theory, we approximate the anchoring region in the parameter space defined by the coupling coefficient and the bistability parameter. For the one-dimensional case, modulation theory yields a periodic, time-dependent velocity of the wavefront, governed by a Peierls–Nabarro potential. We provide a simple explanation for a numerical observation made in previous work by Mallet-Paret, Hoffman and Mallet-Paret (2010), regarding the fact that a stationary vertical wavefront begins to advance when its direction is perturbed. We also present numerical evidence demonstrating the accuracy of our approximations.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103483"},"PeriodicalIF":2.1,"publicationDate":"2024-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143169423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"All first- and second-order (2+1)-dimensional nonlinear wave equations derived from the Euler equations for an ideal fluid model and their traveling wave solutions","authors":"Piotr Rozmej ,&nbsp;Anna Karczewska","doi":"10.1016/j.wavemoti.2024.103477","DOIUrl":"10.1016/j.wavemoti.2024.103477","url":null,"abstract":"<div><div>We review the (2+1)-dimensional nonlinear wave equations we recently derived from the ideal fluid model. These are extensions of the KdV, fifth-order KdV, Gardner, extended KdV and extended KP equations into two spatial dimensions. We discuss analytical solutions to these equations in the form of traveling waves. All these solutions, soliton, cnoidal, and superposition ones, are analogous to solutions of the corresponding (1+1)-dimensional equations. The complete (2+1)-dimensional fifth-order KdV equation, (2+1)-dimensional Gardner equation, and their soliton solutions are derived here for the first time.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103477"},"PeriodicalIF":2.1,"publicationDate":"2024-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168963","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Mode conversions and intersections of Lamb waves in one-dimensional hexagonal piezoelectric quasicrystal nanoplates based on the integral nonlocal theory","authors":"Xinxin Wang ,&nbsp;Jiangong Yu ,&nbsp;Bo Zhang ,&nbsp;Lahoucine Elmaimouni ,&nbsp;Pingmei Ming","doi":"10.1016/j.wavemoti.2024.103479","DOIUrl":"10.1016/j.wavemoti.2024.103479","url":null,"abstract":"<div><div>Phonon, phason, and electrical coupling characteristics of Lamb waves in one-dimensional hexagonal piezoelectric quasicrystal nanoplates are studied by accounting for the nonlocal effect. The coupled dynamic models are derived based on the integral form of nonlocal theory and linear elasticity theory of piezoelectric quasicrystal. Subsequently, dispersion curves and displacement distributions are computed employing the Legendre orthogonal polynomial method. All influences of the phonon-phason coupling, piezoelectric and nonlocal effects on the wave characteristics are analyzed. Furthermore, a detailed analysis of the interaction between piezoelectric and nonlocal effects is provided. The results indicate that mode conversions take place when adjacent phonon and phason modes exhibit the same displacement symmetry, while mode intersections occur when the adjacent phonon and phason modes exhibit different displacement symmetries. The coupling of phonon and phason fields induces the mode conversion, and phonon-phason coupling and piezoelectric effect amplifies this phenomenon. The piezoelectric effect enhances the nonlocal effect, whereas the nonlocal effect weakens the piezoelectric effect, with a more pronounced interaction observed in phonon modes. The obtained results establish a theoretical reference for the design and optimization of piezoelectric nanoscale devices.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103479"},"PeriodicalIF":2.1,"publicationDate":"2024-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168962","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The secular equation for elastic surface waves under boundary conditions of impedance type: A perspective from linear algebra","authors":"Fabio Vallejo","doi":"10.1016/j.wavemoti.2024.103476","DOIUrl":"10.1016/j.wavemoti.2024.103476","url":null,"abstract":"<div><div>Elastic surface waves under impedance boundary conditions are of great interest in a wide range of problems. However, the analysis of the associated secular equation, which provides the speed of the surface wave, is limited to specific cases due to its complicated nature. This work presents an alternative method, based on linear algebra tools, to deal with the secular equation for surface waves in an isotropic elastic half-space subjected to boundary conditions of impedance type. Our analysis shows that the associated secular equation does not vanish in the upper complex half-plane including the real axis. This implies the well-posedness of the problem. Interestingly, the full impedance boundary conditions proposed by Godoy et al. (2012) arise as a limit case. An approximation technique is introduced to extend the analysis from the considered problem to Godoy’s impedance boundary conditions. As a result, it is showed that the secular equation with full Godoy’s impedance boundary conditions does not vanish outside the real axis for arbitrary non-zero impedance parameter values. This is a crucial property for the well-posedness of the boundary value problem of partial differential equations, and thus crucial for the model to explain surface wave propagation. However, it has been verified only for particular cases of the latter class of boundary conditions including the stress-free case. The existence of a surface wave with a complex valued velocity is proved for a particular case.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103476"},"PeriodicalIF":2.1,"publicationDate":"2024-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168394","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Atmospheric pressure-driven surface wave propagation in a compressible ocean including static compression","authors":"Ravindra Pethiyagoda ,&nbsp;Santu Das ,&nbsp;Michael H. Meylan","doi":"10.1016/j.wavemoti.2024.103468","DOIUrl":"10.1016/j.wavemoti.2024.103468","url":null,"abstract":"<div><div>The surface waves generated by a moving atmospheric pressure field are calculated, including both the effects of compressibility and static background compression of the ocean. The solution is found by using the Laplace transformation in time and the Fourier transformation in space. The Laplace transform is inverted analytically, and the Fourier transform is inverted numerically to obtain the solution in the time domain. The impact of ocean compressibility and static compression on the three wave modes, namely the wave locked with the pressure field and the two free waves propagating in opposite directions, induced by an initial pressure field, is demonstrated. The inclusion of compressibility of the water reduces the phase speed of the waves. Although the complexity of the mathematical problem increases when static compression is included, we show that its impact on phase speed is as significant as compression alone. Further effects are observed as a result of compressibility. The free surface near the initial centre of the pressure field oscillates, and the phase of this oscillation changes when static compression is included. Also, acoustic-gravity modes are excited, dominated by the first mode. The evolution of waves over time shows the significant impact of the compressibility of the water.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103468"},"PeriodicalIF":2.1,"publicationDate":"2024-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168401","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}