{"title":"多孔热弹介质中的非均质波传播与双相滞后热传导","authors":"Manjeet Kumari, Priyanka Lather, Neelam Kumari, Pradeep Kaswan, Manjeet Kumar","doi":"10.1615/jpormedia.2024053065","DOIUrl":null,"url":null,"abstract":"We are examining a mathematical model incorporating a heat conduction dual-phase-lags (DPL) model. One may use this model to examine how thermoelastic waves behave in a porous thermoelastic material. A modified version of the Christoffel equations is extracted from the model to investigate the propagation of harmonic plane waves. We next solve these equations to get the complex velocities of waves in the medium. Four waves appear in the medium, and the equations explain their existence and propagation. We find the correlations between the displacements of solid and fluid particles and the wave-induced temperature in the medium. The study considers the case of inhomogeneous wave propagation, defined by a complex slowness vector specification with a finite non-dimensional parameter indicating the inhomogeneity degree. Each of the four attenuated waves propagating inhomogeneously through the porous aggregate has its phase velocities and attenuation coefficients determined. We calculate the velocities and attenuation of the compressional and shear waves using a numerical model of liquid-saturated sandstone. Their fluctuations with thermal and poroelastic parameters are depicted visually.","PeriodicalId":50082,"journal":{"name":"Journal of Porous Media","volume":null,"pages":null},"PeriodicalIF":2.5000,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Inhomogeneous wave propagation in porothermoelastic medium with dual-phase-lag heat conduction\",\"authors\":\"Manjeet Kumari, Priyanka Lather, Neelam Kumari, Pradeep Kaswan, Manjeet Kumar\",\"doi\":\"10.1615/jpormedia.2024053065\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We are examining a mathematical model incorporating a heat conduction dual-phase-lags (DPL) model. One may use this model to examine how thermoelastic waves behave in a porous thermoelastic material. A modified version of the Christoffel equations is extracted from the model to investigate the propagation of harmonic plane waves. We next solve these equations to get the complex velocities of waves in the medium. Four waves appear in the medium, and the equations explain their existence and propagation. We find the correlations between the displacements of solid and fluid particles and the wave-induced temperature in the medium. The study considers the case of inhomogeneous wave propagation, defined by a complex slowness vector specification with a finite non-dimensional parameter indicating the inhomogeneity degree. Each of the four attenuated waves propagating inhomogeneously through the porous aggregate has its phase velocities and attenuation coefficients determined. We calculate the velocities and attenuation of the compressional and shear waves using a numerical model of liquid-saturated sandstone. Their fluctuations with thermal and poroelastic parameters are depicted visually.\",\"PeriodicalId\":50082,\"journal\":{\"name\":\"Journal of Porous Media\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2024-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Porous Media\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1615/jpormedia.2024053065\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Porous Media","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1615/jpormedia.2024053065","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
Inhomogeneous wave propagation in porothermoelastic medium with dual-phase-lag heat conduction
We are examining a mathematical model incorporating a heat conduction dual-phase-lags (DPL) model. One may use this model to examine how thermoelastic waves behave in a porous thermoelastic material. A modified version of the Christoffel equations is extracted from the model to investigate the propagation of harmonic plane waves. We next solve these equations to get the complex velocities of waves in the medium. Four waves appear in the medium, and the equations explain their existence and propagation. We find the correlations between the displacements of solid and fluid particles and the wave-induced temperature in the medium. The study considers the case of inhomogeneous wave propagation, defined by a complex slowness vector specification with a finite non-dimensional parameter indicating the inhomogeneity degree. Each of the four attenuated waves propagating inhomogeneously through the porous aggregate has its phase velocities and attenuation coefficients determined. We calculate the velocities and attenuation of the compressional and shear waves using a numerical model of liquid-saturated sandstone. Their fluctuations with thermal and poroelastic parameters are depicted visually.
期刊介绍:
The Journal of Porous Media publishes original full-length research articles (and technical notes) in a wide variety of areas related to porous media studies, such as mathematical modeling, numerical and experimental techniques, industrial and environmental heat and mass transfer, conduction, convection, radiation, particle transport and capillary effects, reactive flows, deformable porous media, biomedical applications, and mechanics of the porous substrate. Emphasis will be given to manuscripts that present novel findings pertinent to these areas. The journal will also consider publication of state-of-the-art reviews. Manuscripts applying known methods to previously solved problems or providing results in the absence of scientific motivation or application will not be accepted. Submitted articles should contribute to the understanding of specific scientific problems or to solution techniques that are useful in applications. Papers that link theory with computational practice to provide insight into the processes are welcome.