Rheology and wave propagation by J. M. Carcione (OGS)

Slides:



Advertisements
Similar presentations
An overview Food Rheology An overview
Advertisements

Title Petrophysical Analysis of Fluid Substitution in Gas Bearing Reservoirs to Define Velocity Profiles – Application of Gassmann and Krief Models Digital.
Viscoelastic properties
Constitutive Equations CASA Seminar Wednesday 19 April 2006 Godwin Kakuba.
Rheology and wave propagation by J. M. Carcione (OGS)
Jiaguo Liu, Mingyu Xu School of Mathematics, Shandong University, Jinan, , P.R. China.
Mechanical Properties of Biological Materials Chapter 14 KINE 3301 Biomechanics of Human Movement.
Introduction to Viscoelasticity
The acoustic-electromagnetic analogy José M. Carcione OGS, Trieste, Italy.
Basic Terminology • Constitutive Relation: Stress-strain relation
Session: Computational Wave Propagation: Basic Theory Igel H., Fichtner A., Käser M., Virieux J., Seriani G., Capdeville Y., Moczo P.  The finite-difference.
8-1 Interpretation of The stress-strain relationship at a point in an elastic material each stress component is related to each of the nine strain components.
Elastic Properties and Anisotropy of Elastic Behavior.
Constitutive Relations in Solids Elasticity
Fluid substitution effects on seismic anisotropy Long Huang, Robert Stewart, Samik Sil, and Nikolay Dyaur Houston April 2 nd,
Measureable seismic properties
Modeling Static Friction of Rubber-Metal Contact
Viscoelastic materials
Rheology Different materials deform differently under the same state of stress. The material response to a stress is known as rheology. Ideal materials.
Engineering Properties of Wood
BGA 2007 Different aspects of seismic amplitude decay in viscous magma Patrick Smith Supervisor: Jürgen Neuberg School of Earth and Environment, The University.
Low frequency coda decay: separating the different components of amplitude loss. Patrick Smith Supervisor: Jürgen Neuberg School of Earth and Environment,
Solving Systems of three equations with three variables Using substitution or elimination.
MECHANICAL PROPERTIES OF MATERIALS.  Engineers are primarily concerned with the development and design of machines, structures etc.  These products.
Hyaluronic Acid HA is a polymer found in synovial fluid. HA has viscoelastic properties. HA acts as a lubricant and a shock absorber.
Chapter 1 Section 4. Direct Variation and Proportion Direct Variation: The variable y varies directly as x if there is a nonzero constant k such that.
By Paul Delgado Advisor – Dr. Vinod Kumar Co-Advisor – Dr. Son Young Yi.
Goal: Understand Principles of Rheology: stress = f (deformation, time) NeoHookean: Newtonian: shear thinning (thickening) time dependent modulus G(t)
Geology 5640/6640 Introduction to Seismology 20 Apr 2015 © A.R. Lowry 2015 Read for Wed 22 Apr: S&W (§3.7) Last time: Anisotropy(Cont’d) Anisotropy.
U.S. Geological Survey Menlo Park, CA Workshop Active and Passive Seismics in Laterally Inhomogeneous Media Loučeň Castle, Czech Republic.
Rheology Relations between stress and strain. Not easy to define Rheology: describes the ability of stressed materials to deform. strain rate creep regimes.
Dynamic-Mechanical Analysis of Materials (Polymers)
Chapter 4 Material Behavior – Linear Elastic Solids
BIO-MATERIALS. STRUCTURE OF BIO-MATERIALS AND BIO- COMPATIBILITY STRUCTURE OF BIO-MATERIALS AND BIO- COMPATIBILITY IMPLANT MATERIALS IMPLANT MATERIALS.
Background on Composite Property Estimation and Measurement
Geology 5660/6660 Applied Geophysics Last time: Brief Intro to Seismology & began deriving the Seismic Wave Equation: Four types of seismic waves:  P.
Equation of State Thermal Expansion Bulk Modulus Shear Modulus Elastic Properties.
Geol 4068 Class presentation to accompany reading of Chapter 2- Waves in Fluids Elements of 3D Seismology, 2nd Edition by Christopher Liner September 6,
Waves Disturbances which travel through space and matter Carry energy and information Sometimes need medium to propagate in (mechanical waves, sound),
Geology 5660/6660 Applied Geophysics 13 Jan 2014
Beyond Elasticity stress, strain, time Don Weidner Stony Brook.
Stress Analysis in Viscoelastic Materials
Computational Continuum Mechanics in M&M SMR A. V. Myasnikov D.Sc., Senior Research Scientist, SMR Stavanger, 28 th April, 2006 From Seismics to Simulations.
6. Seismic Anisotropy A.Stovas, NTNU Definition (1) Seismic anisotropy is the dependence of seismic velocity upon angle This definition yields both.
Solving by Elimination Example 1: STEP 2: Look for opposite terms. STEP 1: Write both equations in Standard Form to line up like variables. STEP 5: Solve.
Material Point Method Solution Procedure Wednesday, 10/9/2002 Map from particles to grid Interpolate from grid to particles Constitutive model Boundary.
WAVES.
On the Physics and Simulation of Waves at Fluid-Solid Interfaces: Application to NDT, Seismic Exploration and Earthquake Seismology by José M. Carcione.
A Biot model describing wave propagation in a porous solid saturated by a three-phase fluid Juan E. Santos 1,2 and Gabriela B. Savioli Instituto.
Linear Viscoelasticity
SOLVING SYSTEMS OF EQUATIONS BY SUBSTITUTION. #1. SOLVE one equation for the easiest variable a. Isolated variable b. Leading Coefficient of One #2. SUBSTITUTE.
Notes 6.5, Date__________ (Substitution). To solve using Substitution: 1.Solve one equation for one variable (choose the variable with a coefficient of.
6-2 SOLVING LINEAR SYSTEMS BY SUBSTITUTION Goal: Use substitution to solve a linear system Eligible Content: A / A
Rheology two basic relationships between stress and strain (geologic rheology) Elastic (Hookes law) Viscous Combinations of elastic and viscous Strain.
Date of download: 5/30/2016 Copyright © ASME. All rights reserved. The Rate (Time)-Dependent Mechanical Behavior of the PMR-15 Thermoset Polymer at Temperatures.
Viscoelasticity - 2 BME 615 “It’s a poor sort of memory that only works backwards” - Lewis Carroll, Alice through the Looking Glass.
Topic 3: Constitutive Properties of Tissues
Viscoelasticity – 1 Lumped Parameter Models for time-dependent behavior DEQ’s as Constitutive Equations.
Today, we will study data obtained using three techniques: Micropipette aspiration Force range: 10 pN – 1000 nN soft cells hard cells Optical tweezers.
BACKCALCULATION OF AIRFIELD PAVEMENT STRUCTURES BASED ON WAVE PROPAGATION THEORY Kunihito MATSUI (Tokyo Denki University) Yoshiaki OZAWA (Century-techno.
Viscoelasticity Soft tissues and cells exhibit several anelastic properties: –hysteresis during loading and unloading –stress relaxation at constant strain.
Systems of Equations can be linear or non-linear
Viscoelasticity and Wave Propagation
Twin Wavefield (Pump-Probe*) Exploration
SENSITIVITY ANALYSIS OF THE PETROPHYSICAL PROPERTIES VARIATIONS ON THE SEISMIC RESPONSE OF A CO2 STORAGE SITE Juan E. Santos Instituto del Gas y del Petróleo,
Class presentation to accompany reading of Chapter 2- Waves in Fluids
Class presentation to accompany reading of Chapter 2- Waves in Fluids
6-2 Solving Linear Systems by substitution
Mechanical Properties of Biological Tissues. Strength of Biological Materials The strength of biological materials is defined by the ability of the material.
Class presentation to accompany reading of Chapter 2- Waves in Fluids
Presentation transcript:

Rheology and wave propagation by J. M. Carcione (OGS)

Page: 2

Page: 3

Page: 4 Poro-elasticity

Page: 5 Strain energy - Stress-strain relation

Page: 6 Jacketed test

Page: 7 Unjacketed test

Page: 8 Elastic moduli

Page: 9 Gassmann modulus

Page: 10 Gassmann modulus- variation of fluid content

Page: 11 Gassmann modulus - Examples

Page: 12 Gassmann modulus - Examples

Page: 13 Gassmann modulus - Examples

Page: 14 Gassmann modulus - Fluid substitution

Page: 15 Visco-elasticity

Page: 16 Burgers model

Page: 17 Burgers model - stress-strain relation

Page: 18 Burgers model - Creep function

Page: 19 Mechanical models Maxwell Kelvin-Voigt Zener

Page: 20 Zener model - Creep function

Page: 21 Zener model - Relaxation function

Page: 22 Zener model - velocity and attenuation

Page: 23 Maxwell model - creep and relaxation

Page: 24 Memory variable

Page: 25 Viscoelastic equations

Page: 26 Anisotropy

Page: 27 Stress-strain relation

Page: 28 Triclinic media (21)

Page: 29 Transversely-isotropic media (5)

Page: 30 Orthorhombic media (9)

Page: 31 Monoclinic media (12)

Page: 32 Anisotropy - eigenstrains - attenuation

Page: 33 Anisotropy - Kelvin-Christoffel matrix

Page: 34 Anisotropy - Slowness-Wavefronts

Page: 35 Anisotropy and attenuation

Page: 36 Relevant references

Page: 37

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2025 SlidePlayer.com. Inc. All rights reserved.