Generalized viscoelastic wave equation

Author: ttme

August undefined, 2024

Webdifferential constitutive equations of generalized viscoelasticity, the dynamic viscoelastic-wave equations are derived based on our present model. Then, we obtain the phase … WebIn the generalized wave equation, the degree of viscoelasticity varies between zero and unity, and is defined by a controlling parameter. When this viscoelastic controlling parameter equals to 0, the viscous property …

Viscoelastic wave modeling in heterogeneous and isotropic media

WebFeb 8, 2024 · We study existence, uniqueness, continuous dependence, general decay of solutions of an initial boundary value problem for a viscoelastic wave equation with strong damping and nonlinear memory term. At first, we state and prove a theorem involving local existence and uniqueness of a weak solution. Next, we establish a sufficient condition to … Webconstitutive equations of generalized viscoelasticity and then derive the viscoelastic-wave dynamic equations. With the assumption of a plane-wave solution, we ﬁ nally yield the phase velocities and the attenuation coefficients by solving the dynamic wave equations in the frequency and wave number domain. myers briggs military leaders

generalized standard-linear-solid model and the corresponding ...

Webcoustic/viscoelastic wave equation based on the generalized SLS model can be written in differential equation form, which can be effectively solved by many time-domain … WebApr 12, 2024 · In addition, the viscoelastic property. of the subgrade is modelled as a Kelvin model in. terms of the Prony series （Eq. （18））, but it is. inconsistent with the generalized Maxwell model. built in the ABAQUS general FE software. In order. to achieve the equivalent result on the existing basis, as shown in Fig. 5, an equivalent viscoelastic WebIn the generalized wave equation, the degree of viscoelasticity varies between zero and unity, and is defined by a controlling parameter. When this viscoelastic controlling … myers briggs nurse personality

(PDF) A constant-Q model for general viscoelastic media

Determination of the viscoelastic parameters for the generalized ...

WebApr 29, 2024 · Seismic modeling plays an important role in geophysics and seismology for estimating the response of seismic sources in a given medium. In this work, we present a MATLAB-based package, FDwave3D, for synthetic wavefield and seismogram modeling in 3D anisotropic media. The seismic simulation is carried out using the finite-difference … WebThis work introduces a spectral collocation scheme for the viscoelastic wave equation transformed from Cartesian to generalized coordinates. Both the spatial derivatives of … offline driver pack solutionsWebFeb 1, 2016 · In the generalized viscoelastic wave equation (eq. 1), the three parameters controlling viscosity are: the viscoelastic velocity, … myers briggs istj personality type

"WebMay 30, 2016 · Fabien-Ouellet et al. (2016) reformulated the viscoelastic wave equation and derived adjoint state equations for viscoelastic media, and reported on field data applications. Time-domain high ... " - Generalized viscoelastic wave equation

Generalized viscoelastic wave equation

The wave equation in generalized coordinates GEOPHYSICS

WebGeneralized viscoelastic wave equation 1217 Thispaperattemptstounifytheviscoelasticandpureelasticcases into a single model. In this … WebApr 9, 2024 · Based on the conventional rotation method, a classical optimal 17-point scheme has been proposed to improve the accuracy of wave equation modeling in the frequency domain. However, this scheme just can be applied to the square grid, which seriously limits its application. What's more, its accuracy is not the best. To extend this …

Did you know?

WebApr 11, 2024 · This indicates that a submerged viscoelastic plate with fixed edges does not allow the incident wave energy transmission to the lee side of the plate in the long-wave regime. Furthermore, a comparison between Figs. 4(c) and 5(c) shows that the amount of wave energy dissipation E 3 is more in the case of the submerged plate with fixed edges … Webto expand a frequency-dependent viscoelastic modulus into an nth-order rational function in order to replace the con-volutory integral by n ﬁrst-order differential equations. Em-merich and Korn (1987) improved the approach (in terms of accuracy and efﬁciency) by considering the rheology of the generalized Maxwell body (GMB) whose ...

WebFeb 1, 2016 · This paper presents a generalized wave equation which unifies viscoelastic and pure elastic cases into a single wave equation. In the generalized wave equation, the degree of viscoelasticity varies between zero and unity, and is defined by a … Webmechanism in the 3-D case, two for the generalized SH-wave equation, and three for the qP - qSVwave equation. Two-dimensional wave equations apply to ... and linear viscoelastic medium can be expressed as (Carcione, 1990b) S, 1, . . . , (5) Anelastic Model for Anistropic Media 539 = T (6)

WebJan 1, 1993 · Abstract. We introduce a new spectral collocation scheme for the viscoelastic wave equation transformed from Cartesian to generalized coordinates. Both the spatial derivatives of field variables ... WebDec 1, 2024 · Wang (2016) proposed the generalized viscoelastic wave equation, which unifies the pure elastic and viscoelastic property into a single form, and proved it follows the basic power law of ...

WebSep 1, 2009 · The viscoelastic modeling in 2-D SEG/EAGE salt dome model is carried out by using the simplified viscoelastic equations. A comparison of the viscoelastic single-shot records derived from acoustic ...

WebDec 8, 2024 · Using Taylor expansion in terms of β, the phase velocity can be approximated to. vg(ω) = √2c(β) A √A + B ≈ c(β)[1 + (− 1 8β2 + 1 2β)( ω ω0)β]. The linearity between … offline driver pack for windows 7WebThis generalized viscoelastic wave equation is characterized by the viscoelastic parameter and the viscoelastic velocity, but these parameters are not well formulated and therefore unfavourable for seismic implementation. Here, we prove that the generalized wave equation is causal and stable by deriving the rate-of-relaxation function. offline driver solution packWebApr 4, 2014 · Carcione et al ( 2002) established a visco-acoustic wave equation based on Kjartansson's theory. This equation is expressed as v 0 2 cos 2 π γ 2 ω 0 - 2 γ ∇ 2 P = ∂ t 2 - 2 γ P, 4 where γ = 1 π tan - 1 1 Q ⁠, 0 ≤ γ < 1 2 ⁠. Equation ( 4) … offline dungeon crawlerWebAn analysis of nonlinear transverse shear wave has been carried out on non-Newtonian viscoelastic liquid using generalized hydrodynamic(GH) model. ... equation. This model has application from laboratory to astrophysical plasmas as well as biological systems. pacs: 52.27.Gr, 47.20.Ft, 47.20.Gv I Introduction. offline duck raceWebHere, we study the internal variable approach to viscoelasticity. First, we generalize the classical approach by introducing a fractional derivative into the equation for time evolution of the internal variables. Next, we derive restrictions on the coefficients that follow from the dissipation inequality (entropy inequality under isothermal conditions). In the example of … offline draw pokerWebThis work presents a new constitutive relation and the corresponding time‐domain wave equation to model wave propagation in inhomogeneous anisotropic and dissipative media. The rheological equation includes the generalized Hooke’s law and Boltzmann’s superposition principle to account for anelasticity. The attenuation properties in ... myers briggs personality acronymsWebwave equation of variable coe cients u00 Lu+ ˆ(u0) = 0; where Lu= div(A(x)ru) = Xn i;j=1 @ @x i a ij(x) @u @x j : Under suitable conditions on ˆ, he improved his previous result [12] in which he focused on the case A= I, and obtained the general decay result. Liu [18] studied a variable coe cient wave equation with an acoustic undamped ... offline driverpack solution