๐”– Bobbio Scriptorium
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Automatic differentiation in geophysical inverse problems

โœ Scribed by M. Sambridge; P. Rickwood; N. Rawlinson; S. Sommacal


Book ID
108747147
Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
728 KB
Volume
170
Category
Article
ISSN
0956-540X

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โœ D. W. Vasco ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 628 KB

## Summary Many geophysical inverse problems derive from governing partial differential equations with unknown coefficients. Alternatively, inverse problems often arise from integral equations associated with a Green's function solution to a governing differential equation. In their discrete form s

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Let[V2 + k2n(x~,23)]u(x1,x2,x3) = -6(x1 -y1)6(x2 -y2)6(~3 -ys) in R"+. Assume that U(XI,X~,X~ = 0, yl,y2 = 0, y3 = 0, k) is measured at the plane P := {x : 23 = 0) for all positions of the source on the line y = (yi, y2 = 0, ys = 0), -oo < yr < 00, and receiver on the plane (~1, x2, x3 = 0), -oo < x