# 651-4094-00L Numerical Modelling for Applied Geophysics

Semester | Frühjahrssemester 2021 |

Dozierende | J. Robertsson, H. Maurer |

Periodizität | jährlich wiederkehrende Veranstaltung |

Lehrsprache | Englisch |

Kurzbeschreibung | Numerical modelling in environmental and exploration geophysics. The course covers different numerical methods such as finite difference and finite element methods applied to solve PDE’s for instance governing seismic wave propagation and geoelectric problems. Prerequisites include basic knowledge of (i) signal processing and applied mathematics such as Fourier analysis and (ii) Matlab. |

Lernziel | After this course students should have a good overview of numerical modelling techniques commonly used in environmental and exploration geophysics. Students should be familiar with the basic principles of the methods and how they are used to solve real problems. They should know advantages and disadvantages as well as the limitations of the individual approaches. The course includes exercises in Matlab where the stduents both should lear, understand and use existing scripts as well as carrying out some coding in Matlab themselves. |

Inhalt | During the first part of the course, the following topics are covered: - Applications of modelling - Physics of acoustic, elastic, viscoelastic wave equations as well as Maxwell's equations for electromagnetic wave propagation and diffusive problems - Recap of basic techniques in signal processing and applied mathematics - Potential field modelling - Solving PDE's, boundary conditions and initial conditions - Acoustic/elastic wave propagation I, explicit time-domain finite-difference methods - Acoustic/elastic wave propagation II, Viscoelastic, pseudospectral - Acoustic/elastic wave propagation III, spectral accuracy in time, frequency domain FD, Eikonal - Implicit finite-difference methods (geoelectric) - Finite element methods, 1D/2D (heat equation) - Finite element methods, 3D (geoelectric) - Acoustic/elastic wave propagation IV, Finite element and spectral element methods - HPC and current challenges in computational seismology - Seismic data imaging project Most of the lecture modules are accompanied by exercises Small projects will be assigned to the students. They either include a programming exercise or applications of existing modelling codes. |

Skript | Presentation slides and some background material will be provided. |

Literatur | Igel, H., 2017. Computational seismology: a practical introduction. Oxford University Press. |

Voraussetzungen / Besonderes | This course is offered as a full semester course. During the second part of the semester some lecture slots will be dedicated towards working on exercises and course projects. |