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DEGREE REGULATIONS & PROGRAMMES OF STUDY 2011/2012
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DRPS : Course Catalogue : School of Geosciences : Earth Science

Undergraduate Course: Geophysical Inverse Theory (EASC09038)

Course Outline
SchoolSchool of Geosciences CollegeCollege of Science and Engineering
Course typeStandard AvailabilityAvailable to all students
Credit level (Normal year taken)SCQF Level 9 (Year 3 Undergraduate) Credits10
Home subject areaEarth Science Other subject areaNone
Course website None Taught in Gaelic?No
Course descriptionL1 Definition of the forward and inverse problem; how to specify models $ú continuous functions and parameterised models; examples of pairs of observables and physical properties on which they depend
L2-3 Over-constrained and underdetermined models; the least squares method
L4-5 The covariance matrix, errors and correlations
L6-7 Eigenvectors and eigenvalues; model resolution; fit to the data and information density matrix
L8-9 Damping; smoothing and the trade-off curve
L10-13 Examples
L14-15 Linearised methods and iteration

Computer Practicals
Least squares analysis of the Hawaiian-Emperor Chain age-distance data
Residual static shifts for land seismic surveying (including group working and presentation)

Entry Requirements (not applicable to Visiting Students)
Pre-requisites It is RECOMMENDED that students have passed Introduction to Geophysics (EASC08008) AND Computational Modelling for Geosciences (EASC09035)
Co-requisites
Prohibited Combinations Other requirements None
Additional Costs None.
Information for Visiting Students
Pre-requisitesEquivalent to University of Edinburgh Pre-requisites. Contact course secretary.
Displayed in Visiting Students Prospectus?Yes
Course Delivery Information
Delivery period: 2011/12 Semester 2, Available to all students (SV1) WebCT enabled:  Yes Quota:  None
Location Activity Description Weeks Monday Tuesday Wednesday Thursday Friday
King's BuildingsLecture1-11 12:10 - 13:00
King's BuildingsLecture1-11 10:00 - 10:50
First Class Week 1, Tuesday, 12:10 - 13:00, Zone: King's Buildings. JCMB Lab 6201
Additional information Tue 1210 - 1200 (wks 1-11)
Fri 1000 - 1050 (wks 1-11)

Computer Practicals TBA
Exam Information
Exam Diet Paper Name Hours:Minutes
Main Exam Diet S2 (April/May)1:30
Summary of Intended Learning Outcomes
Students will be introduced to Geophysical Inverse Theory and develop an integrated understanding of the essential aspects of parameter estimation:
&· A critical understanding of the distinctions between forward and inverse problems, linear and non-linear problems, and the relationships between data and model parameters
&· Formulate and solve least square problems
&· Understand how data uncertainties translate into uncertainties in model parameters; they will also know how and why to weight data by their uncertainties
&· Have a critical understanding of why damping is often a good strategy, know how to do a damped inversion, and be able to explain the effect of damping on model parameter uncertainties and resolution
&· Understand the eigenvector $ú eigenvalue decomposition of an inverse problem, and know how the eigenvalue spectrum can be used to help choose an appropriate amount of damping to apply
&· Know how to treat linearisable problems by an iterative inversion scheme. Through problem sheets, laboratory classes, tutorials and assessment
&· Formulating, solving and interpreting algebraic and numerical, computer based problems
&· Making formal and informal presentations on the main aspects of parameter estimation
&· Applying effectively this knowledge gained to new scenarios
Assessment Information
30% Practical (Hawaiian-Emperor Chain Practical 20%, Residual Statistics 10%)

70% 1.5 hour written exam plus continuous assessment
Special Arrangements
None
Additional Information
Academic description Not entered
Syllabus Not entered
Transferable skills Not entered
Reading list Not entered
Study Abroad Not entered
Study Pattern Not entered
KeywordsGeophysical_Inverse-Theory
Contacts
Course organiserProf Kathy Whaler
Tel: (0131 6)50 4904
Email: Kathy.Whaler@ed.ac.uk
Course secretaryMiss Emma Latto
Tel: (0131 6)50 8510
Email: emma.latto@ed.ac.uk
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© Copyright 2011 The University of Edinburgh - 16 January 2012 5:53 am