Shear alignment of olivine crystals

Slides:



Advertisements
Similar presentations
Functions: Transformations of Graphs Vertical Translation: The graph of f(x) + k appears as the graph of f(x) shifted up k units (k > 0) or down k units.
Advertisements

Conclusions… Challenge: 1)Seismic waves are affected by variations in temperature, pressure, composition, mineralogy, structure (layering, scales and distribution.
Measurement of Dislocation Creep Based on: Low-Stress High-Temperature Creep in Olivine Single Crystals D.L. Kohlstedt and C. Goetze, 1974 Picture from.
Polarization of Light Waves
08/09/2007VLab-workshop1 Geophysical Anomalies in the Central Pacific Upper Mantle Implications for Water Transport by a Plume Shun-ichiro Karato Yale.
Deformation of Diopside Single Crystals at Mantle P and T E. AMIGUET 1, P. RATERRON 1, P. CORDIER 1,H. COUVY 2, AND J. CHEN 2 1Laboratoire Structure et.
Engineering Graphics Stephen W. Crown Ph.D.
Seismic Wave Demonstrations and Animations L. Braile, Purdue University  Copyright L. Braile. Permission.
Horizontal Convective Rolls Asai papers & Simulations w/ ARPS.
Anisotropic seismic tomography: Potentials and pitfalls Mark Panning University of Florida CIDER Research Talk 7/5/2010.
Earthquakes and earthquake (or seismic) waves Pages , ,
Diffusion in a multi-component system (1) Diffusion without interaction (2) Diffusion with electrostatic (chemical) interaction.
Continental lithosphere investigations using seismological tools Seismology- lecture 5 Barbara Romanowicz, UC Berkeley CIDER2012, KITP.
Seismic Anisotropy Beneath the Southeastern United States: Influences of Mantle Flow and Tectonic Events Wanying Wang* (Advisor: Dr. Stephen Gao) Department.
Seismology – Lecture 2 Normal modes and surface waves Barbara Romanowicz Univ. of California, Berkeley CIDER Summer KITP.
Shear-wave Splitting Tomography in the Central American Mantle Wedge Geoffrey A. Abers Boston University J. Marino Protti, Victor Gonzalez OVSICORI Wilfried.
Upper mantle flow associated with plate motion and melt-enhanced upwelling Upper mantle flow associated with plate motion and melt-enhanced upwelling.
H O R I Z O N T AL VERTICAL © 2007 by S - Squared, Inc. All Rights Reserved.
Geology 5640/6640 Introduction to Seismology 15 Apr 2015 © A.R. Lowry 2015 Read for Fri 17 Apr: S&W (§3.6) Last time: Structure of the Deep Earth’s.
Surface waves Earthquakes generate both body waves (P, S) and surface waves Surface waves are generated along any free surface in the medium In the Earth,
Water in the Mantle ? Can be stored: 1)Hydrous minerals - only stable shallow 2) Dissolved in normally anhydrous minerals 3)A hydrous silica-rich fluid.
Borehole Stress Orientation  MIN  MAX Top View Drilling Induced Fracture Borehole Breakout Courtesy of Steve Hansen, Schlumberger.
Upper Mantle Seismic Anisotropy around the Plate Edge beneath northern Taiwan Wen-Tzong Liang 1 Yih-Zhen Hsu 2 Bor-Shouh Huang 1 Char-Shine Liu 3 1.Institute.
WHICH TRANSFORMATIONS DO YOU KNOW? ROTATION WHICH TRANSFORMATIONS DO YOU KNOW? ROTATION.
EVIDENCE THAT RIDGES ARE FED FROM THE TRANSITION ZONE BUT NOT AS CONTINUOUS UPWELLING SHEETS. WHEN A TZ UPWELLING COMES UP DIRECTLY UNDER A RIDGE IT IS.
Global Tomography -150 km depth
Guided Notes for Forces Within Earth
Links between melting, rheology and the composition and structure of the upper mantle Greg Hirth, Brown Univeristy Marc Parmentier & Alberto Saal Mark.
2008 Bi-Lateral Workshop, under the Sino-US Earthquake Studies Protocol Boulder, Colorado, USA, November 11-14, 2008 Peter Molnar Department of Geological.
Post-perovskite Transition in MgSiO3
(7.7) Geometry and spatial reasoning The student uses coordinate geometry to describe location on a plane. The student is expected to: (B) graph reflections.
Graphing Quadratic Functions using Transformational Form The Transformational Form of the Quadratic Equations is:
Geology 5640/6640 Introduction to Seismology 23 Mar 2015 © A.R. Lowry 2015 Last time: Normal Modes Free oscillations are stationary waves that result from.
Polarization. Polarization Have you ever wondered how polarized sunglasses are able to reduce the glare of light off a surface? In the photographs shown.
Shear velocity of olivine Data from Kumazawa & Anderson [1969] Seismic Anisotropy.
Introduction to Shear Wave Splitting Erin Elliott Guofeng Yuan February 26, 2010.
天 然 地 震天 然 地 震. 1. 基本概念 震源:地球内部发生地震而破裂的 地方。在理论上将它抽象为一个点, 实际上是一个区域。 震源深度:将震源看做一点,作点 到地面的垂直距离 h 震中:震源在地面上的垂直投影, 与震中相对的地球直径的另一端称 为对震中。 极震区:地震发生时地面上受破坏 最严重的地区。由于地表局部地质.
Introduction to Seismology
Insight into the lithospheric structure and deformation in Eastern Tibet from splitting and traveltime variations of core phases S. Sol, A. Meltzer, B.
STRESS SUMMARY Stress= amount of force per unit area (units Pa) Force= mass * acceleration (units N)
Anisotropy and heterogeneity of the Earth's inner core
Chapter 7 Transverse Shear
Global Tomography -150 km depth
Lithospheric Layering
Uplift: Faults and Earthquakes
Douglas A. Wiens & James Conder
Introduction to Seismology
Color & Polarization and Refraction
Auxiliary Views Engineering II.
Warm Up Find the coordinates of the image of ∆ABC with vertices A(3, 4), B(–1, 4), and C(5, –2), after each reflection. 1. across the x-axis 2. across.
What is the earth like inside?
Coordinate Plane Plotting Points
Anisotropy layering in the craton
Introduction to Shear Wave Splitting
CIDER/ITP Short Course
Shearing Stresses in Beams and Thin-Walled Members
Conformational Isomers Configurational Isomers cis-trans isomers isomers that contain chirality centers.
Origin of Cleavage and Schistosity
Graph Transformations
Use x,y,z for ease of intuition.
Lesson 2-2 Graphing on a Coordinate Plane
Work Features Work features are tools that help create and position features by providing points, lines, and planes when current geometry is not sufficient.
Plotting Points Guided Notes
Mesoscale Dynamics Introduction.
SKS SPLITTING: Using Seismic Waves to Understand Mantle Structure
This diagram helps explains why angles at a point add to 360o.
12.2 Translations.
5.3 Ellipse (part 2) Definition: An ellipse is the set of all points in a plane such that the sum of the distances from P to two fixed points (F1 and.
Maps one figure onto another figure in a plane.
Work Features Work features are tools that help create and position features by providing points, lines, and planes when current geometry is not sufficient.
Presentation transcript:

Shear alignment of olivine crystals Anisotropy Shear alignment of olivine crystals

Shear wave splitting a c

Olivine Anisotropy: Basic (A-type) [1 0 0] (a-axis) parallel to flow direction (0 1 0) plane parallel to flow plane Horizontal flow Vsh > Vsv Vertical flow Vsh < Vsv Polarization of faster shear wave parallel to flow direction

Olivine (a-axis projection) [0 1 0] [0 0 1]

Olivine (b-axis projection) [0 0 1] [1 0 0]

Olivine (c-axis projection) [0 1 0] A-type: [1 0 0] on (0 1 0) [1 0 0] Vertical Shear

Olivine (c-axis projection) [1 0 0] on (0 1 0) Horizontal Shear [0 1 0] VSH > VSV A-type

A-type [1 0 0] on (0 1 0)

Olivine anisotropy Vp a c b

Olivine anisotropy Vs a c b

Olivine anisotropy Vs (a-vibration direction is fast)

Olivine anisotropy (Karato et al, 2008) A-type [1 0 0] on (0 1 0) B-type [0 0 1] on (0 1 0) C-type [0 0 1] on (1 0 0) D-type [1 0 0] on {0 k l} E-type [1 0 0] on (0 0 1)

Olivine (c-axis projection) [0 1 0] A-type: [1 0 0] on (0 1 0) [1 0 0] Vertical Shear

A-type [1 0 0] on (0 1 0)

Olivine (a-axis projection) (B-type) [0 1 0] [0 0 1] [0 0 1] on (0 1 0)

B-type [0 0 1] on (0 1 0)

Olivine (b-axis projection) (C-type) [1 0 0] [0 0 1]

C-type [0 0 1] on (1 0 0)

Olivine (a-axis projection) (D-type) [0 1 0] [0 0 1] [1 0 0] on (0 k l): Translation is normal to projection plane

D-type [1 0 0] on (0 k l)

Olivine (b-axis projection) (E-type) [0 0 1] [1 0 0]

E-type [1 0 0] on (0 0 1)

Olivine anisotropy Olivine anisotropy

Olivine (a-axis projection) [0 1 0] [0 0 1]

Olivine anisotropy Olivine anisotropy

Olivine anisotropy Karato group experiments done only up to 2000 H per 106 Si. Lower asthenosphere conditions allow up to 140,000 H per 106 Si in forsterite. Explains why Karato sees B- and C-type textures at hydrous conditions. More data at very hydrous conditions would help.

Olivine anisotropy Expect B-type to predominate if H2O content > 1000 ppm at depth > 200km. 50,000 100,000

Olivine anisotropy Crystal structure of hydrous forsterite shows vacancies concentrated at M1 with proton on O1-O2 edge. M1 octahedra form chains parallel to c. Very hydrous conditions in lower asthenosphere might favor deformations that have offsets along c (B-type and C-type).

Olivine (a-axis projection) (B-type) [0 1 0] [0 0 1]

B-type [0 0 1] on (0 1 0)

Olivine anisotropy A-type [1 0 0] on (0 1 0) B-type [0 0 1] on (0 1 0) C-type [0 0 1] on (1 0 0) D-type [1 0 0] on {0 k l} E-type [1 0 0] on (0 0 1) A, D, and E types align a-axis with shear B, and C-types align c-axis with shear

Olivine textures

Shear wave splitting a c