Modules

MSc in Geomatics Engineering (GEOENGINE)

Mandatory & Elective modules over all 4 semester

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During the first three semesters, students complete a total of 15 modules.
The program includes 7 mandatory modules and 8 electives, allowing students to customize their learning experience by selecting specialized courses from 3 different categories (–Geomatics, –Mapping,–Environment) that align with their individual interests and career goals in environmental monitoring and geomatics.

Explanation Compulsory modules

Compulsory
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
Geodesy WS 3/1 6 Lecture
Lab 
Module coordinator
and lecturer
Prof. Dr.-Ing. Nico Sneeuw, Prof. Dr. James Foster
Objectives
  • Physical Geodesy

Students are able to judge the fundamental role of the gravity field and the geoid in all disciplines of geomatics engineering. They understand the pros and cons of different height systems.

  • Geodetic Coordinate Systems and Map Projections

Students are enabled to interpret maps and to represent the Earth using different kinds of map projections. They are capable to investigate, to evaluate and to visualize occurring distortions. They know how to deal with different kinds of reference and coordinate systems, and to perform transformations between them.

Content
  • Physical Geodesy

Elements of potential theory, gravitation and gravity, measurement principles of gravimetry, geoid determination, height systems

  • Geodetic Coordinate Systems and Map Projections

Basics on differential geometry of surfaces, geometry of sphere and ellipsoid-of-revolution, spherical map projections, distortion analysis, optimal map projections, UTM, deformations and deformation measures, 2D and 3D coordinate systems, datum transformation models.

Assessment
  • Type of examination: Written 120 min

  • Pre-qualifications: term work 
Compulsory
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
Remote Sensing WS 2/2 6 Lecture
Lab 
Module coordinator
and lecturer
Prof. Dr.-Ing. Uwe Sörgel
Objectives Students have a complete understanding of principles and important applications of Remote Sensing. This includes the complete radiation path from the source of radiation to the detecting sensors, and the information extraction by means of image processing and machine learning methods. With respect to sensor technology the students have profound knowledge over the entire spectral range from the visible and near infrared over the thermal infrared up to the microwave domain. This comprises satellite or airborne sensors of passive or active principles, such as optical and thermal cameras or laser scanner and radar devices, respectively.
Content
  • Basic principles and sensor devices
  • Image acquisition and processing
  • Optical, multi-spectral, and hyperspectral sensors
  • Land cover classification
  • Airborne Laserscanning
  • Radar remote sensing
Assessment
  • Type of examination: Written 120 min or Oral 40 min

  • Pre-qualifications: Lab exercises
Compulsory
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
Statistics & Adjustment Calculus WS 2/2 6 Lecture
Lab 
Module coordinator
and lecturer
Prof. Dr. techn.Thomas Hobiger
Objectives Students are able handle observations which are affected by random errors and use such information to estimate parameters of interest or adjust observations based on intrinsic conditions. In doing so, students are able to handle linear and non-linear functional models and are knowledgeable about the usage of the Gauss-Helmert Model. Moreover, students have sufficient skills to describe the quality of observational data, judge the precision and reliability of estimated parameters and are capable to carry our statistical tests in that respect.
Content
  • Theory of random errors and their distribution
  • Covariance propagation
  • Principles of Least-Squares
  • Conditional Adjustment
  • Non-linear observation models
  • The Gauss-Helmert Model
  • Statistical testing and outlier detection
Assessment
  • Type of examination: Written 120 min

  • Pre-qualifications: Lab exercises
Compulsory
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
Geo-Monitoring WS 2/2 6 Lecture
Lab 
Module coordinator
and lecturer
Prof. Dr.-Ing. Volker Schwieger
Objectives Students are able to understand the principle of point-wise and area-wise monitoring sensors and apply them for monitoring tasks. They know how to realize a monitoring and network and the respective deformation analysis in the congruency model. They also know to distinguish between relative and absolute deformations as well as to develop and apply area-wise deformation analyses.
Content
  • Monitoring networks and point determination
  • Inclination measurements
  • Hydrostatical levelling
  • Alignement
  • Plumbing methods
  • Fibre optic systems, gauges and extensometers
  • Terrestrial Laser Scanning: measurement process, registration,
    geo-referencing, error sources, accuracy
  • Overview of other 3D monitoring methods
  • Deformation analysis using the congruency model: two- and
    multi-epoch comparison, global test and localization
  • Area-wise deformation analysis approaches
Assessment
  • Type of examination: Written 120 min

  • Pre-qualifications:  Participation at laboratories, accepted homeworks
Compulsory
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
German as a Foreign Language SS / WS Intensive Course, 5 weeks 6 Intensive German Course
Module coordinator
and lecturer
Ms. Straub
Objectives Students are able to converse about everyday situations in their studies and home, read and understand simple texts, have a command of basic grammar structures, and write about life and culture in the German speaking countries.
Content The course aims to develop the four communication skills listening, speaking, reading, and writing, with an increased emphasis on conversational German. Students are exposed to everyday and professional situations. Students learn frequently used expressions related to areas of most immediate relevance.
Assessment
  • Type of examination: Written / non-graded

  • Pre-qualifications: Mandatory attendance
Remarks Type of examination: Written 120 min Pre-qualifications: Participation at laboratories, accepted homeworks
Compulsory
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
 Satellite Navigation SS 2/2 6 Lecture
Lab 
Module coordinator
and lecturer
Prof. Dr. techn.Thomas Hobiger
Objectives Students have a complete understanding of all aspects of satellite navigationwith modern Global Navigation Satellite Systems (GNSS) like GPS or GLONASS. This understanding includes the design of orbital constellation and the description of orbits. The process from signal generation, modulation and transmission over signal propagation in the atmosphere including refraction effects up to the signal demodulation and measurement in the receiver is understood.
Content
  • Coordinate and Time Systems
  • Satellite Orbits
  • GNSS Signals
  • Receiver technology
  • Atmospheric propagation errors and their mitigation
  • Single Point Positioning
  • DGNSS
  • RTK
  • PPP
  • Multi-GNSS
  • Integrated Navigation
Assessment
  • Type of examination: Oral, 40 min

  • Pre-qualifications: Lab exercises
Compulsory
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
 Integrated Project SS Project during semester and 10 days Fieldwork 6 Lecture
Lab 
Module coordinator
and lecturer
Prof. N. Sneeuw, Prof. J. Foster, Prof. U. Sörgel, Prof. T. Hobiger, Prof. V. Schwieger, further teachers
Objectives The students are able to apply the knowledge of the modules of semester 1 project-related on variable topics.
- Additionally they know about project management, team work, scientific reporting and presentation techniques.
Content
  • Variable topics are treated in projects; e.g. „geoid determination“ and „stake out of a tunnel“
  • The student work for ten days on the project that is structured by several working packages. The planning, measurement, evaluation and analysis are realized in small teams.
  • The students take care about the project management in different organizational levels. The academic staff act as mentors and not as teachers.
  • For the preparation of the measurement campaign each student has to prepare one working package including a presentation.
  • After the measurement campaign a joint scientific report has to be realized and the students have to present their working package
Assessment
  • Type of examination: non-graded

  • Pre-qualifications: 2 Presentations, Participation at project, Reporting
Compulsory
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
Master Thesis SS / WS 6 months 30 Thesis  
Module coordinator
and lecturer
Prof. Haala, Prof. Hobiger, Prof. Schwieger, Prof. Sneeuw, Prof. Sörgel, Prof. Foster (and further teachers, according to thesis topic)
Objectives The candidates are to demonstrate their ability to complete and document a well-defined research project within a given time frame.
Content According to the thesis topic
Assessment type of examination:
  • Term work, term paper an presentation

  • Master Thesis
Remarks In order to start the Master Thesis project, the student has to have at least 60 credit points (ECTS).

 

Elective modules: Container Geodesy

Elective 
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
Geoinformatics WS 2/2 6 Lecture
Lab 
Module coordinator
and lecturer
Dr.-Ing. Volker Walter
Objectives The students know the technologies for the input, management, analysis and presentation of spatial data. They are able to use different standard software tools. They are able to collect, model and exchange spatial data on web-platforms.
Content
  • Data Sources, Data Collection, Geometrical/Topological/Thematic Data
  • Modelling, Data Structures,Virtual Globes, Web 2.0 Technologies
  • Spatial Data Infrastructures, Web-APIs, Web-Services
Assessment
  • Type of examination: Written 60 min

  • Pre-qualifications: term work 

 

Elective 
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
Geo-Mobility WS 2/2 6 Lecture
Lab 
Module coordinator
and lecturer
Dr.-Ing. Li Zhang
Objectives The students know about the requirements of the transportation sector as well as the interaction of different information sources and communication possibilities for transportation applications.
They know how to implement algorithms to match positions on the digital road network and estimate the respective quality.
Content
  • Intelligent Transport Systems (ITS)
  • Data models for digital road maps (digital transportation maps), e.g. HD maps
  • Communication technologie
  • Infrastructure-based positioning (e.g. beacon, balise, loop)
  • Map matching technology: geometric, topologic and semantic
  • Quality of digital transportation maps and map matching
  • Information services for transport applications
  • Application for driver assistance systems and automated driving
Assessment
  • Type of examination: Written 120 min 

  • Pre-qualifications: Participation at laboratories, Participation at laboratories, accepted Homework

 

Elective 
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
Terrestrial Multisensor Systems WS 2/2 6 Lecture
Lab 
Module coordinator
and lecturer
Prof. Dr.-Ing. Volker Schwieger, Dr.-Ing. Li Zhang
Objectives Based on the information provided in this module, the students are able to build up a terrestrial multi-sensor system using graphical programming. They understand the different sensors, especially the multi-sensor system “robot tachymeter” and their interaction as well as their handling within the system. The integration of vehicle models into filtering and closed loop systems belongs to the competencies of the students as well.
Content
  • Analogue and digital data registration, bus-based systems
  • Analogue-digital conversion
  • Coordinates systems and transformation
  • Synchronisation, latency and dead time
  • Real time system and data acquisition
  • Recapitulation of tachymeter techniques and measurements
  • Robot tachymeters and kinematic measurements
  • Additional kinematic sensors: accuracy, models, corrections
    and reductions
  • Dynamic models for moving objects, vehicle models
  • Prediction and filtering by integration of vehicle models
  • Basics of control theory, simple control examples
  • Integration of kinematic measurements into closed loop systems
  • Graphical programming: introduction and data acquisition
  • Construction machine guidance and construction robot control
  • Construction machine simulator of IIGS
  • Project on real time data acquisition and control
Assessment
  • Type of examination: Written 120 min 

  • Pre-qualifications: Participation at laboratories,  accepted homeworks, successful project participation

 

Elective 
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
Environmental Cartography SS 2/2 6 Lecture
Lab 
Module coordinator
and lecturer
Dr.-Ing. Martin Metzner
Objectives

On completion of the module, students will be able to

  • understand current cartographic research topics and research questions;
  • analyze and process spatial data in a spatial context and combine it
    with other non-spatial and environmental data
  • assess different cartographic techniques, principles and methods in terms of their applicability to a planned project
  • produce results that are oriented towards the objectives and users of a planned project
  • discuss and present applied mapping/design techniques to specialists.
Content
  • Requirements from the environmental sector for GIS and maps
  • Environmental geodata sources: Data content, data structures and market overview/sources (e.g. Copernicus system, OpenData, ...)
  • Geodata fusion: analysis and processing of geodata in a spatial context and combination with other non-spatial data and environmental data
  • how to to perform the appropriate geometric, topologic and thematic management, modeling and presentation
  • Map design for, dynamic and animated maps for various purposes (depending on end device, topic, ...) like Environmental maps, e.g. temperature, water, vegetation, climate resilience, land use change...
Assessment
  • Type of examination: Written 120 min 

  • Pre-qualifications: Participation at laboratories,  accepted homeworks, successful project participation

 

Elective 
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
Satellite Geodesy SS 3/1 6 Lecture
Lab 
Module coordinator
and lecturer
Prof. Dr.-Ing. Nico Sneeuw,  Prof. Dr. James Foster
Objectives The module aims at an understanding of the interplay between geodetic space-observation techniques, the related reference systems and the error sources degrading the observations. The students will learn to apply and assess space techniques for position acquisition with a sound knowledge of the available techniques of error mitigation.
Content
  • Foundations of Satellite Geodesy:
    Reference systems and transformation rules between them, orbital mechanics, two-body problem, Kepler orbits, disturbing forces, orbit
    perturbations Satellite Laser ranging, VLBI,Satellite altimetry, GNSS positioning
  • Observation Techniques of Satellite Geodesy:
    Signal propagation,,satellite laser ranging (SLR), Very Long Baseline Interferometry
    (VLBI),satellite altimetry, Global Navigation Satellite Systems
    (GNSS), satellite gravimetry, applications in geodesy and Earth sciences
Assessment
  • Type of examination: Written 120 min 

  • Pre-qualifications:  Lab-exercises

Elective modules: Container: Mapping

Elective
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
Pattern Recognition WS 2/2 6 Lecture
Lab 
Module coordinator
and lecturer
Prof. Dr.-Ing. Uwe Sörgel
Objectives Within this module, the students will understand the automated methods and technologies of pattern recognition with focus on automatedimage analysis. The students will be able to deal with the entire processing chain from images processing over features extraction to high level inference. The latter can be done either by statistical machine learning (probabilistic and non-probabilistic) or model-based approaches.They yield pro-found knowledge of generative as well discriminative approaches. special attention is paid to Deep Learning approaches like CNN as well as to graphical models.
Content

Visual perception of humans, image acquisition and processing, scale
space, image segmentation, features, overview of statistical methods. Bayesian Classifier, Logistic regression, random Forest, SVM, neural networks, Convolutional Neural Network, graph-based methods, model-based methods.

Assessment
  • Type of examination:  Written 120 min or oral exam 40min

  • Pre-qualifications: Lab exercises 
Elective
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
Space Geod.-Atm. Water Vapor WS 2/2 6 Lecture
Lab 
Module coordinator
and lecturer
Prof. Dr. James Foster
Objectives Students will understand the theoretical and practical grounding
to measure the atmospheric water vapor content utilizing terrestrial and satellite geodetic data, The impact of atmospheric water vapor on radio wave propagation is one of the biggest sources of error for space geodetic positioning. By flipping this problem into one where we use the space geodetic measurements to estimate water vapor content we can transform our geodetic “noise” into valuable sources of meteorological observations. Students will be introduced to the theoretical basis for the retrieval of water vapor content from radio wave signals, and given an overview of evolving research efforts to extract ever more detailed water vapor information from our space geodetic sensing data. They will then investigate the particular characteristics of estimates from different geodetic techniques and the ways in which these estimates can be employed for meteorological and climatological monitoring.
Content
  • Microwave Sensing of Atmospheric Water Vapor
  • GNSS Meteorology - ground-based and radio-occultation
  • GNSS Meteorology and Numerical Weather Prediction
  • GNSS Meteorology and Atmospheric Processes
  • GNSS Meteorology and Climatology
  • VLBI Meteorology
  • SLR Meteorology
  • InSAR Meteorology
Assessment
  • Type of examination:  Written 120 min 

  • Pre-qualifications: Lab exercises 
Elective
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
Computer Vision for 3D Mapping SS 2/2 6 Lecture
Lab 
Module coordinator
and lecturer
Prof. Dr.-Ing. Norbert Haala, Dr.-Ing. Michael Cramer
Objectives Within this module, the students will understand the automated methods and technologies of computer vision for image based 3D reconstruction
Content
  • LV Photogrammetry:
    Geometric camera modelling, Bundle Block Adjustment and Automatic Aerial Triangulation, integrated georeferencing by GPS/IMU integration
  • LV Computer Vision:
    Projective geometry, image matching for automatic image orientation and 3D reconstruction by Structure-from-Motion and Multi-View-Stereo, introduction to visual- and LiDAR-SLAM
Assessment
  • Type of examination: Oral 30 min 

  • Pre-qualifications: Lab exercises 
Elective
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
Hydrogeodesy SS 2/2 6 Lecture
Lab 
Module coordinator
and lecturer
Dr.-Ing. Mohammad Tourian
  This course offers students an exploration of the intricate dynamics of the global water cycle through the utilization of both terrestrial and satellite geodetic data. These data sources encompass geometric and gravimetric measurements. Through hands-on engagement with satellite data, students will gain a comprehensive understanding of how satellite missions operate to assess changes in water storage and the distribution of surface water. Moreover, this course will empower students to effectively recognize the pivotal role of geodesy in ongoing scientific discussions surrounding climate change. They will also appreciate its broader applications in monitoring the Earth system as a whole. By the end of this lecture, students will have acquired the knowledge and skills needed to navigate the complexities of the global water cycle and grasp the profound significance of geodesy in addressing critical environmental challenges
Content
  • Satellite altimetry
  • Challenges of satellite altimetry for inland water monitoring
  • Satellite Gravimetry (SST), GRACE & GRACE FO
  • Satellite imagery for monitoring the extent of surface waters.
  • Methods to improve spatio-temporal resolution of satellite data
  • GNSS reflectometry
  • Assimilation methods
Assessment
  • Type of examination: Written 120 min 

  • Pre-qualifications: Lab exercises 
Elective
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
Mapping from Space SS 2/2 6 Lecture
Lab 
Module coordinator
and lecturer
Dr.-Ing. Michael Cramer
  Students will gain knowledge of applications of different satellite imagery, image classification techniques and image analysis and interpretation.
Content
  • Lecture:
    Overview of HRSI systems and applications, Sensor orientation – rigorous modelling, RPCs and the affine model, Accuracy of georeferencing, Generic sensor orientation model, Georeferencing accuracy validation of generic model, Automated DSM generation, Metric evaluation of DSM generation, Orthoimage generation
  • Project:
    Case study - Application of generic model for (strip) adjustment & automated DSM and ortho-image generation
Assessment
  • Type of examination: Written 90 min or Oral 30 min

  • Pre-qualifications: Project

 

Elective modules: Container: Environment

Elective
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
Regional and Urban Planning I WS 4/0 6 Lecture
Lab 
Module coordinator
and lecturer
Prof. Dr.-Ing. Jörn Birkmann, Prof. Dr. Astrid Ley,
Dr. Marvin Ravan
  The students understand the major challenges, objectives, strategies and instruments in spatial planning and urban development in Europe as well as in developing and countries intransition.
The students are acquainted with the legal framework of comprehensive and sector planning and know the capabilities and limits of public planning as "positive" and "negative" planning.
Content The course Regional Planning I covers the following topics:
• International Planning studies
• Overview on current planning issues
• Basic Terms of Spatial Planning
• Strategies in Spatial Planning
• Instruments of Spatial Planning
• Environmental and demographic challanges in planning
• Performance of Plans, and Assessing Plans

The course Urban Planning I provides an overview on the origin of planned urban development, starting in Greece and the Roman Empire, passing through all important periods up to the 21st century. The second part introduces urbanisation processes in third world countries, planned and unplanned urban conglomerations, including Mega Cities and Global Cities
Assessment
  • Type of examination: Written 120 min 

  • Pre-qualifications: none

 

Elective
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
Structural Engineering of Hydraulic Structures WS 5/0 6 Lecture
Lab 
Module coordinator
and lecturer
Dr.-Ing. Kristina Terheiden, Dr.-Ing. Hans-Peter Koschitzky
  Students know basics of structural design, restoration and monitoring of hydraulic structures e.g. (reinforced) concrete or block masonry structures in theory and for practical applications. Furthermore, they are able to select and design hydraulic gates and for several purposes.
Content
  • Structural Design, Restoration and Monitoring of Dams:
    Determination of internal forces of tanks, silos, arched dams using membrane and bending theory FEM for structural hydraulic engineering as large dams (Theory and Practical Application) Damage and failure of dams, Monitoring of dams,Restoration of dams.
  • Hydraulic Gates:
    Mechanics and Operation of Hydraulic Gates;
    Design and operating windows:
    Hydraulics and special problems caused by high speed flows maintenances of hydraulic gates
Assessment
  • Type of examination: Written 120 min 

  • Pre-qualifications: none

 

Elective
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
Integrated Watershed Modeling SS 4/0 6 Lecture
Lab 
Module coordinator
and lecturer
Prof. Dr. Sergey Oladyshkin
 
  • Hydrological Modeling:
    Construction of models for each part in the runoff process and how these models are used and integrated in different environment management systems.
  • Integrated model systems for the groundwater management:
    Groundwater and hydrological modelling, Calibration and Validation, Stochastic modelling
Content
  • Hydrological Modeling:
    What happens to the rain? This is the basic question that needs to be addressed in order to predict the amount of discharge at a certain location in a river system at a given time. Which parts of the fate of rainfall can be determined on a physical basis, and which are still left to empirical searching?
    Beside the qualitative determination of e.g. the processes of evapotranspiration, infiltration, interflow etc. we also need to describe the quantities of these processes to be able to forecast e.g. flood events.
    Hydrological watershed modelling is fundamental to integrated water management. There are complex interactions between the elements of the environmental continuum. In order to predict future behavior and to quantify effects of management changes, quantitative mathematical descriptions are needed.
    A number of advanced hydrological watershed models have been developed in the last 30 years. A few of them will be reviewed in terms of their data needs and their predictive power. The participants are encouraged to form groups and to use their selected models for the same catchment so that the different approaches are compared.
  • Integrated model systems for the groundwater management:
    Water is unique – no other element is so ubiquitous, vital, vulnerable and threatening at the same time. We must secure our access to clean water, shield our civilization from droughts and floods, use water sustainably in food and energy production, and protect water as part of our environment. However, our surroundings behave non-trivially in various time and spatial scales. Moreover, many environmental systems such as hydrological systems (precipitation, evaporation, infiltration, groundwater flow, surface flow, etc.) are heterogeneous, non-linear and dominated by real-time influences of external driving forces.

    Modeling plays a very important role in reconstructing (as far as possible) the complete and complex picture of the surroundings water systems and offers a unique way to predict behavior of such multifaceted systems. The current course deals with Integrated Watershed Modelling. The main modelling principles are discussed that helps adequately describe the natural system and it's behavior on the basis of the corresponding physical processes. It's simply assumptions about physical concepts, numerical schemes, mathematical formulations, boundary conditions and modelling parameters. The course offers concepts how to incorporate the data into the modelling process, how to calibrate the established model and how to perform validate against the available observation data. The course introduces theoretical concepts and demonstrates how to transfer them into practical applications using hydrological an groundwater modelling. This course is offering insights into the MODFLOW Software that is the USGS's modular hydrologic model. MODFLOW is considered an international standard for simulating and predicting groundwater conditions and groundwater/surface-water interactions. Additionally, course is exploring some features of MATLAB software as one of most productive software environment for engineers and scientists.

Assessment
  • Type of examination: Written 120 min 

  • Pre-qualifications: none

 

Elective
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
Stochastical Modelling & Geostatistics SS 4/0 6 Lecture
Lab 
Module coordinator
and lecturer
Prof. Dr.-Ing. Wolfgang Nowak, Prof. Dr.-Ing András Bárdossy
 
  • Concepts of Geostatistics:
    Knowledge of the basic geostatistical concepts, difference between Kriging and simulation, advantages and disadvantages of the discussed methods, application of Kriging and simulation.
  • Stochastical Modeling:
    The participants have skills in basic statistical methods used in hydrology, like time series analysis, extreme value statistics, parameter estimation methods and statistical tests.
Content
  • Concepts of Geostatistics:
    Geostatistical procedures for the interpolation of measured values, assessment of model parameters and planning of Measuring networks are dealt with.
    e.g.: Simulations: Basic definitions, Monte Carlo, Turning Band, Unconditional simulation, Conditional simulation, Sequential Simulation, Simulation using Markov Chains, The Hastings Algorithm, Simulated annealing, Indicator Simulation, Truncated- Gaussian Simulation, Application of simulations Exercises
  • Stochastical Modeling:
    The lecture part stochastic modeling is primarily concerned with the stochastic analysis of temporal and areal arrays, their generation and their use in the hydrological modeling. Calculation and analysis of hydrological data, descriptive statistic and their parameters, possibility analysis, correlation and regression, time
    series analysis and simulation.
    Univariate Statistics and multivariate Statistics (e.g. regression analysis) theory of probabilities random variables and probability functions (e.g. Poission distribution)
    and more.
Assessment
  • Type of examination: Written 120 min 

  • Pre-qualifications: none

 

Elective
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
Modelling of Hydrosystems SS 5/0 6 Lecture
Lab 
Module coordinator
and lecturer
Prof. Dr.-Ing. Rainer Helmig, Martin Schneider, Prof. Dr. rer. nat. Bernd Flemisch
  Students can select suitable numerical methods for solving problems from fluid mechanics and have basic knowledge of implementing a numerical model in C.
Content
  • Discretisation methods: Knowledge of the common methods (finite differences, finite elements, finite volume) and the differences between them Advantages and disadvantages and of the methods and thus of their applicability Derivation of the various methods Use and choice of the correct boundary conditions for the various methods
  • Time discretisation:
    Knowledge of the various possibilities; Assessment of stability, computational effort, precision Courant number, CFL criterion
  • Transport equation:
    Various discretisation possibilities, Physical background,Stabiity criteria of the methods (Peclet number)
  • Clarification of concepts: model, simulation Application of the finite element method to the stationary groundwater equation Setting-up of a simulation programme for modeling groundwater:
    Programme requirements
    Programming individual routines
  • Fundamentals of programming in C:
    Control structures, Functions, Arrays, Debugging, Visualisation of the simulation results
Assessment
  • Type of examination: Written 120 min 

  • Pre-qualifications: none

 

Elective
Course Semester SWS Lecture/Lab Credit Points (ECTS) Course Numbers
Geohydrologie and Geoengineering SS 4/0 6 Lecture
Lab 
Module coordinator
and lecturer
Prof. Dr.-Ing. Christian Moormann
 
  • Geoengineering:
    The students have the required skills to treat fundamental soil mechanics problems such as: groundwater flow, consolidation, slope stability, settlement and soil strength calculations.
  • Geohydrology:
    The students have a strong foundation in the applied skills required to locate, analyse, assess, develop, and protect groundwater resources.
Content
  • Geoengineering:
    This course includes information about the origin of soils and soilclassification methods. It also includes the basics of groundwater flow as used in soil mechanics. Common geotechnical problems such as slope stability and soil consolidation are discussed and clarified. The stresses in soil, stiffness of soils and strength of soils are explained in details.
  • Geohydrology:
    Covers the most important concepts of geology and hydrogeology, the interpretation of hydrogeological information from maps, aerial photographs, geophysical measurements and field data, the principles of groundwater development and the understanding of hydrogeological systems through case studies. A brief overview is given on the analysis of hydrochemical data and isotopes.
Assessment
  • Type of examination: Written 120 min 

  • Pre-qualifications: none

 

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