Difference between revisions of "Dictionary:Christoffel equation/es"

From SEG Wiki
Jump to: navigation, search
(Created page with "Ecuación de Christoffel")
 
(Created page with "(kris’ tof ∂l)Una forma de la ecuación de ondas para ondas planas usadas para calcular superficies de velocidad y lentitud:")
Line 2: Line 2:
  
 
{{#category_index:C|Christoffel equation}}
 
{{#category_index:C|Christoffel equation}}
(kris’ tof ∂l) A form of the wave equation for plane waves used for calculating velocity and slowness surfaces:  
+
(kris’ tof ∂l)Una forma de la ecuación de ondas para ondas planas usadas para calcular superficies de velocidad y lentitud:  
  
 
<center><math>\kappa\left(\gamma \textbf{C}\gamma^T\right) \textbf{u}=\rho \omega^2 \textbf{u} </math>,</center>
 
<center><math>\kappa\left(\gamma \textbf{C}\gamma^T\right) \textbf{u}=\rho \omega^2 \textbf{u} </math>,</center>
  
 
where <math> \kappa </math> is wavenumber, <math> \gamma </math> is the direction cosine matrix, <b>C</b> is the stiffness tensor, <b>u</b> the particle displacement vector, <math>\rho </math> the density, and <math>\omega </math> the angular frequency. The quantity in parentheses is called the <b>Christoffel matrix</b>.
 
where <math> \kappa </math> is wavenumber, <math> \gamma </math> is the direction cosine matrix, <b>C</b> is the stiffness tensor, <b>u</b> the particle displacement vector, <math>\rho </math> the density, and <math>\omega </math> the angular frequency. The quantity in parentheses is called the <b>Christoffel matrix</b>.

Revision as of 00:33, 15 September 2018

Other languages:
English • ‎español


(kris’ tof ∂l)Una forma de la ecuación de ondas para ondas planas usadas para calcular superficies de velocidad y lentitud:

,

where is wavenumber, is the direction cosine matrix, C is the stiffness tensor, u the particle displacement vector, the density, and the angular frequency. The quantity in parentheses is called the Christoffel matrix.