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Explore the theory, examples, and conclusions of Two-way Reverse Time Migration for Horizontal Offset Common Image Gathers (HOCIGs) and Vertical Offset Common Image Gathers (VOCIGs) with detailed forward and back-propagation techniques. Examples include frequency and time domain images.
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HOCIGs and VOCIGs via Two-way Reverse Time Migration William Symes, Fuchun Gao Rice University TRIP Oct 29, 2004
Outline • Common image gathers (offset domain) 1. Theory 2. HOCIGs and VOCIGs--- examples • Conclusions
Two-way Reverse Time Migration 1. Forward propagation: finite difference solution to acoustic equation by where : impedance matrix. : seismic wave field vector. : source vector. Pratt et al.(1998)
Two-way Reverse Time Migration ( : complex conjugate) 2. Back-propagation of data 3. Horizontal offset image (frequency domain) Vertical offset image (frequency domain) Common image gathers (time domain): where : recorded wave fields. : back-propagated waves : source location. : image location
Example 1 No. of source = 51 No. of receiver = 51 Source interval =10m Receiver interval=10m
Example 2 No. of source =101 No. of receiver = 101 Source interval =1.5m Receiver interval=1.5m
Time domain Frequency domain HOCIGs
HOCIG Filtered HOCIG