Module also offered within study programmes:
General information:
Name:
Inverse Problem In Geophysics
Course of study:
2015/2016
Code:
BGF-2-209-AG-s
Faculty of:
Geology, Geophysics and Environmental Protection
Study level:
Second-cycle studies
Specialty:
Applied Geophysics
Field of study:
Geophysics
Semester:
2
Profile of education:
Academic (A)
Lecture language:
English
Form and type of study:
Full-time studies
Course homepage:
 
Responsible teacher:
dr hab, prof. AGH Cichy Adam (cichy@agh.edu.pl)
Academic teachers:
dr hab, prof. AGH Cichy Adam (cichy@agh.edu.pl)
Module summary

Description of learning outcomes for module
MLO code Student after module completion has the knowledge/ knows how to/is able to Connections with FLO Method of learning outcomes verification (form of completion)
Social competence
M_K001 Student owns the ability of cooperation and self-education GF2A_K01, GF2A_K02 Presentation
Skills
M_U001 Student is able to design the method of the solution of inverse problem GF2A_U04, GF2A_U10 Examination,
Test
M_U002 Student is able to apply in practice ready procedures of optimization GF2A_U01 Examination,
Test
Knowledge
M_W001 Student is able to define the forward and inverse problems for individual methods in geophysics GF2A_W07, GF2A_W02, GF2A_W01 Examination,
Test
M_W002 Student knows the methods of local and global optimization GF2A_W07, GF2A_W06 Examination,
Test
M_W003 Student is able to apply the proper method for solving concrete inverse problem GF2A_W07, GF2A_W02 Examination,
Test
M_W004 Student understands the ununambiguity of the solutions of inverse problems GF2A_W07, GF2A_W02 Examination,
Test
FLO matrix in relation to forms of classes
MLO code Student after module completion has the knowledge/ knows how to/is able to Form of classes
Lecture
Audit. classes
Lab. classes
Project classes
Conv. seminar
Seminar classes
Pract. classes
Zaj. terenowe
Zaj. warsztatowe
Others
E-learning
Social competence
M_K001 Student owns the ability of cooperation and self-education - - + - - - - - - - -
Skills
M_U001 Student is able to design the method of the solution of inverse problem - - + - - - - - - - -
M_U002 Student is able to apply in practice ready procedures of optimization - - + - - - - - - - -
Knowledge
M_W001 Student is able to define the forward and inverse problems for individual methods in geophysics + - + - - - - - - - -
M_W002 Student knows the methods of local and global optimization + - + - - - - - - - -
M_W003 Student is able to apply the proper method for solving concrete inverse problem + - + - - - - - - - -
M_W004 Student understands the ununambiguity of the solutions of inverse problems + - + - - - - - - - -
Module content
Lectures:

1. Forward and inverse problem In geophysics
2. Analytical and numerical solutions of forward problem for individual methods in geophysics
3. Problem of ununambiguity and ill- conditionality of inverse problem
4. Parameters of the model
5. Classification of methods of solving the invers problem
6. Maximum likelihood and least squares methods
7. L1 and L2 norms
8. Statistical formulation of the inverse problem
9. Estimation of uncertainty of the solution of the inverse problem
10. Bayesian inversion
11.Local and global optimization methods
12. Backus-Gilbert method

Laboratory classes:

1. Analytical and numerical solutions of forward problem for individual methods in geophysics
2. Presentation by students the abstracts concerning methods of local and global optimization (in 4-5 persons
groups)
3. Applying local and global optimization methods for solving the inverse problem for choosen geophysical
methods
4. Bayesian inversion for choosen geophysical methods

Student workload (ECTS credits balance)
Student activity form Student workload
Summary student workload 86 h
Module ECTS credits 3 ECTS
Participation in lectures 28 h
Examination or Final test 7 h
Realization of independently performed tasks 15 h
Preparation for classes 8 h
Participation in laboratory classes 28 h
Additional information
Method of calculating the final grade:

Final result= 50% exam + 50% laboratory.

Prerequisites and additional requirements:

1. Passing courses of mathematics, physics and basic geophysical methods.
2. Fluent programming in C++ language.

Recommended literature and teaching resources:

1.Sen M., Stoffa P.L. – Global Optimization Methods in Geophysical Inversion. – Elsevier 1995
2.Boas M.L – Mathematical Methods in the Physical Sciences. – John Wiley & Sons 1983
3. M. S. Zhdanov. Geophysical Inverse Theory and Regularization Problems. Methods in Geochemistry and Geophysics, 36.
Elsevier, Amsterdam, 2002.
4. R. L. Parker. Geophysical Inverse Theory. Princeton University Press, NewJersey, 1994.

Scientific publications of module course instructors related to the topic of the module:

Additional scientific publications not specified

Additional information:

None