New Nonisothermal Arrhenius Temperature Integral Approximate Formula

2012 ◽  
Vol 29 (10) ◽  
pp. 964-971 ◽  
Author(s):  
Chen-Hua Wang ◽  
C.H. Hsu
Keyword(s):  
Approximate Formula ◽  
Temperature Integral ◽  
Arrhenius Temperature

New approximate formula for Arrhenius temperature integral

2003 ◽  
Vol 408 (1-2) ◽  
pp. 39-43 ◽  
Author(s):  
Wanjun Tang ◽  
Yuwen Liu ◽  
Hen Zhang ◽  
Cunxin Wang
Keyword(s):  
Approximate Formula ◽  
Temperature Integral ◽  
Arrhenius Temperature

New approximate formula for the generalized temperature integral

AIChE Journal ◽  
2009 ◽  
Vol 55 (7) ◽  
pp. 1766-1770 ◽  
Author(s):  
Haixiang Chen ◽  
Naian Liu
Keyword(s):  
Approximate Formula ◽  
Temperature Integral

REFRACTION ARRIVALS THROUGH THIN HIGH‐VELOCITY LAYERS

Geophysics ◽  
1965 ◽  
Vol 30 (2) ◽  
pp. 204-212 ◽  
Author(s):  
J. H. Rosenbaum
Keyword(s):  
Exponential Decay ◽  
High Velocity ◽  
Elastic Layer ◽  
Approximate Formula ◽  
Asymptotic Theory ◽  
Surrounding Medium ◽  
Low Frequency ◽  
Horizontal Distance ◽  
Symmetric Mode ◽  
Elastic Parameters

The first significant refraction arrival through a thin high‐velocity elastic layer in an elastic medium has been investigated theoretically by means of an asymptotic theory. This first low‐frequency arrival is closely connected with the longitudinal plate wave in the thin layer. When the medium surrounding the layer is a fluid, the signal does not decay exponentially with horizontal distance; when the surrounding medium is a solid, the signal does decay exponentially. A very simple approximate formula for this exponential decay is presented and compared with numerical results of the more rigorous theory. The decay as well as the shape of the signal is dependent upon the contrast in elastic parameters between the plate and the surrounding medium. Higher‐frequency early arrivals, associated with the second symmetric mode, have also been investigated. They exhibit greater exponential decay with horizontal distance than the low‐frequency first arrivals.

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