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Least Squares Migration

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Presentation on theme: "Least Squares Migration"— Presentation transcript:

1 Least Squares Migration

2 d=Lm mmig=LTd m =[LTL]-1m mig
Forward Model: Standard Migration: mmig=LTd m =[LTL]-1LTd Least Sq. Migration : 3D input 5D input m =[LTL]-1m mig Migration Decon:

3 Motivation: Poor Acquisition Geomtery

4 Motivation: Poor Illumination
* g SALT Uneven Illumination under Salt

5 Wave Equation Migration Before MD
X (km) 20 3 Depth (km) 10

6 Wave Equation Migration after MD
X (km) 20 3 Depth (km) 10

7 Motivation: Better Resolution
Kirchhoff Mig Beylkin Kirchhoff MD Gaussian Beam MD FFD MD

8 Motivation: Better Resolution
Kirchhoff MD Motivation: Better Resolution 3 X (km) 3 Y (km) Meandering Stream 3 Y (km) Kirchhoff Mig 3 Y (km) Kirchhoff MD

9 Iterative Least Squares Migration
Kirchhoff MD Iterative Least Squares Migration Step 1: Step 2: Step 3: Step 4:

10 Kirchhoff MD

11 Kirchhoff MD

12 Kirchhoff MD

13 Kirchhoff MD

14 Kirchhoff MD

15 Summary 1. LSM resolution twice better than KM
2. LSM >20 times more expensive than KM 3. LSM sensitive to accurate v(x,z) 4. Multisource LSM costs same as KM Second I compute reflectivity model within this offset range from the velocity and density models. I also created a source wavelet that mimics an air gun source signature. Fdom = 25 Hz. 15


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