The course is aimed at introducing the basic mathematical methods applied in geophysics and their use in Matlab. The main goal is to reach an adequate understanding of such methods and to acquire the capability to develop and use the mathematical tools to study the physical processes of the Earth.
teacher profile teaching materials
Introduction to Matlab 2: rows, columns, matrix, figure, vectors, import data, ... Tensors; rigid rototranslations and associated matrix.
Rotation of a seismic signal to derive the radial and transverse component. Complex numbers and trigonometric functions. Polar representation. Phasor. Matlab exercise: representation in Cartesian-polar-spherical coordinates. Vector calculation. Waves. Stationary waves.
Signal analysis: linear time-invariant system, Convolution theorem.
Exercise on the impulse and step response. Fourier series. Fourier transform. Exercise on Fourier Analysis of mechanical waves. Solution of the wave equation in the frequency domain. Exercise: delay and phase.
Cross Correlation - Filtering of data in time and frequency domain.
Programme
Introduction to the course. Introduction to Matlab 1. Matricial Calculation; search for main components (eigenvalues, eigenvectors, ...).Introduction to Matlab 2: rows, columns, matrix, figure, vectors, import data, ... Tensors; rigid rototranslations and associated matrix.
Rotation of a seismic signal to derive the radial and transverse component. Complex numbers and trigonometric functions. Polar representation. Phasor. Matlab exercise: representation in Cartesian-polar-spherical coordinates. Vector calculation. Waves. Stationary waves.
Signal analysis: linear time-invariant system, Convolution theorem.
Exercise on the impulse and step response. Fourier series. Fourier transform. Exercise on Fourier Analysis of mechanical waves. Solution of the wave equation in the frequency domain. Exercise: delay and phase.
Cross Correlation - Filtering of data in time and frequency domain.
Core Documentation
Mathematical modelling for Earth sciences. Xin She Yang. Dunedin.Type of delivery of the course
Lectures on the blackboard and by presenting power point slides. There will be numerical exercises on the topics covered during the course in the Matlab environment.Attendance
Attendance is not mandatory, but is strongly recommended.Type of evaluation
The student has to write a report in which he shows how he has analyzed and discussed geophysical data, also in relation to what has been learned during the lectures. The oral exam concerns the discussion of the report presented by the student and the topics covered during the course. teacher profile teaching materials
Introduction to Matlab 2: rows, columns, matrix, figure, vectors, import data, ... Tensors; rigid rototranslations and associated matrix.
Rotation of a seismic signal to derive the radial and transverse component. Complex numbers and trigonometric functions. Polar representation. Phasor. Matlab exercise: representation in Cartesian-polar-spherical coordinates. Vector calculation. Waves. Stationary waves.
Signal analysis: linear time-invariant system, Convolution theorem.
Exercise on the impulse and step response. Fourier series. Fourier transform. Exercise on Fourier Analysis of mechanical waves. Solution of the wave equation in the frequency domain. Exercise: delay and phase.
Cross Correlation - Filtering of data in time and frequency domain.
Programme
Introduction to the course. Introduction to Matlab 1. Matricial Calculation; search for main components (eigenvalues, eigenvectors, ...).Introduction to Matlab 2: rows, columns, matrix, figure, vectors, import data, ... Tensors; rigid rototranslations and associated matrix.
Rotation of a seismic signal to derive the radial and transverse component. Complex numbers and trigonometric functions. Polar representation. Phasor. Matlab exercise: representation in Cartesian-polar-spherical coordinates. Vector calculation. Waves. Stationary waves.
Signal analysis: linear time-invariant system, Convolution theorem.
Exercise on the impulse and step response. Fourier series. Fourier transform. Exercise on Fourier Analysis of mechanical waves. Solution of the wave equation in the frequency domain. Exercise: delay and phase.
Cross Correlation - Filtering of data in time and frequency domain.
Core Documentation
Mathematical modelling for Earth sciences. Xin She Yang. Dunedin.Type of delivery of the course
Traditional teaching method in mixed mode. Partly lectures are given on the blackboard, basically dedicated to the numerical part and mathematical demonstrations, and in part slides are used for the most descriptive topics. Theoretical lessons are alternated with lessons dedicated to the numerical exercise part in the Matlab environment.Attendance
Attendance is not mandatory, but is strongly recommended.Type of evaluation
The student has to write a report in which he shows how he has analyzed and discussed geophysical data, also in relation to what has been learned during the lectures. The oral exam concerns the discussion of the report presented by the student and the topics covered during the course.