1 / 18

Geol 4068 Class presentation to accompany reading of Chapter 2- Waves in Fluids

Geol 4068 Class presentation to accompany reading of Chapter 2- Waves in Fluids Elements of 3D Seismology , 2nd Edition by Christopher Liner September 6, 2005 Juan M. Lorenzo. Outline. What is a Fluid? Elastic Moduli Acoustic Solution to the Wave equation Density Velocity. Outline.

miranda-roman
Download Presentation

Geol 4068 Class presentation to accompany reading of Chapter 2- Waves in Fluids

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Geol 4068 Class presentation to accompany reading of Chapter 2- Waves in Fluids Elements of 3D Seismology, 2nd Edition by Christopher Liner September 6, 2005 Juan M. Lorenzo

  2. Outline • What is a Fluid? • Elastic Moduli • Acoustic Solution to the Wave equation • Density • Velocity

  3. Outline • What is a Fluid? • Elastic Moduli • Acoustic Solution to the Wave equation • Density • Velocity

  4. TYPES OF SEISMIC MATERIALS Fluid (no shear strength) Porous solid (Solid+fluid -BIOT THEORY) Solid (shear strength and high and finite resistance to compressibility

  5. Outline • What is a Fluid? • Elastic Moduli • Acoustic Solution to the Wave equation • Density • Velocity

  6. Key Physical Parameters of the Acoustic Wave Equation (Pa) Bulk Modulus or modulus of incompressibility

  7. Key Physical Parameters of the Acoustic Wave Equation (Pa) Bulk Modulus or modulus of incompressibility

  8. Example: Ocean Water density = 1,035 kg.m^3 Incompressibility modulus is of order 10^9 Pa

  9. Outline • What is a Fluid? • Elastic Moduli • Acoustic Solution to the Wave equation • Density • Velocity

  10. Different Approaches • Hooke’s Law: stress (Pa)= Y (Pa). strain • + Newton’s Law (F=ma) • Lagrangian Mechanics (Energy Relationships)

  11. Outline • What is a Fluid? • Elastic Moduli • Acoustic Solution to the Wave equation • Density • Velocity

  12. Density is given minor importance with respect to velocity. Usually velocity and denisty increase together. Gardner’s Rule (Gardner et a., 1974) density = a .V^0.25, where a=0.31 Salt: 4500-5000 m/s; 2.0-2.1 g/cc

  13. Outline • What is a Fluid? • Elastic Moduli • Acoustic Solution to the Wave equation • Density • Velocity

  14. Mean velocity; traditional Very important for basic seismic processing. Can be obtained directly from seismic field data or GPR field data. Errors ~10%

  15. V=330 m/s, rho =0 z=100000m i=1 i=2 i=3=j s = 200m; V=1000 m/s, rho =1.6 V=1500 m/s, z= 500m rho =1.8

  16. Excel macro

More Related