Geoid and Gravity Workshop, Riyadh, Nov. 3-7, 2013.

Geoid and Gravity Workshop, Riyadh, Nov. 3-7, 2013.

DRAFT 2013-10-08.


R.Forsberg, (RF), Professor, DTU-Space, Lyngby, Denmark.
C.C.Tscherning, (CCT), Professor, Niels Bohr Institute, University of Copenhagen, Denmark.

Plan for the Workshop

It will be a combination of theoretical lectures, simple excercises using a hand calculator or PC, advanced excercises demonstrating the capabilities of GRAVSOFT.
In the theory part we will use parts of the textbook by Torge and Mueller: Geodesy, 2012, which will be made available to the students.
Lecture notes in the form of hand-outs of Power-Point presentations will be available. Each student will get a copy of the GRAVSOFT software for the use in connection with the exercises.
Test-data from New Mexico, USA, are available, and data from local authorities will also be used.
Day 0.
Lectures in the morning.
10:45 - 11:15 C.C. Tscherning : Geoid Modelling based on Terrestrial and Satellite Borne Data.
11:15 - 11:45 R. Forsberg : Satellite and Airborne Data for Geoid Determination.
11:45 - 12:00 Discussion on Geoid Modelling
After afternoon session: Installation of software: Gravsoft, Surfer, Matlab.
Day 1.
1.1.Basic Mathematics and statistics.
1.2.Gravity field of the Earth, (gravity vector, potential, geoid, Newtons law, harmonic functions, Laplace equation). CCT.
1.3. Fourier transformation.
1.4. Interpolation. Simple examples of use. CCT+RF.
1.5.Spherical harmonics (Legendre functions, series development). CCT.
including simple calculation of Spherical harmonic functions with 2 terms by hand. CCT.

Day 2.
2.1.Height anomaly, geoid height, gravity anomaly, gravity disturbance, deflections of the vertical. CCT.
2.2. Global gravity field modelling, (ICGEM Satellite models, EGM2008). RF+CCT.
2.3. Use of spherical harmonic series by GRAVSOFT. EGM2008 evaluation.CCT.
2.4. Data sources: gravity, satellite altimetry, GOCE gradients.CCT.
Day 3.
3.1. Terrain effects - remove-restore. RF.
3.2. Sources of terrain data. RF/CCT.
3.3. Modified Stokes formula. RF.
3.4. Use of FFT - GRAVSOFT programs geofour etc. New Mexico example. RF.
3.5. Statistical analysis of gravity data (histogram, covariance functions). CCT.
3.6. Use of least-squares collocation. New Mexico example using GRAVSOFT. CCT.
day 4.
4.1. Fitting the geoid to a local datum. RF.
4.2. Gravity measurements, adjustment (absolute and relative gravimetry). RF.
4.3. Airborne gravity for geoid determination. RF.
4.4. Gravity from GOCE satellite gradiometry with examples from the Kingdom of Saudi Arabia. CCT.

Last update 2013-10-08.
File-name: program_workshop.htm