Automatic differentiation in geophysical inverse problems
โ 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
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## 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
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