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30 November 2021 | Story Leonie Bolleurs | Photo Supplied
Prof Johan Meyer, Senior Professor in the Department of Mathematics and Applied Mathematics, says he is looking forward to learning from others in the field during this collaboration.

What do trees, black holes, earthquakes, and time structures have in common? 

The answer to this question is that these, in one way or the other, form the focus of some of the abstracts delivered during the Annual Congress of the South African Mathematical Society. The society has as its main objective the advancement of mathematics in South Africa. 

The Department of Mathematics and Applied Mathematics at the University of the Free State (UFS), in conjunction with the South African Mathematical Society (SAMS 2021), is hosting the 64th Annual Congress of the society this week (29 November to 1 December 2021).

Prof Johan Meyer, Senior Professor in the department, says the congress, which is being conducted online, is focusing on all aspects of mathematics research, including history and teaching.

Learning from others in the field

The congress, which aims to share the latest research results in mathematics, will be attended by staff and students from universities across South Africa as well as abroad. “Anyone from the public is, of course, welcome to attend or even share their results if they are also involved in mathematics research,” adds Prof Meyer. 

He says that he is looking forward to learning from others in the field during this collaboration. 

The congress will include discussions on more than 120 abstracts, covering category theory, algebra, topology, logic; functional analysis and operator theory; finite groups and combinatorial structures; graph theory and combinatorics; lie symmetries and nonlinear differential equations; and applied and numerical mathematics.

Array of interesting topics presented

“It is important in many areas of science and engineering to predict and to simulate rare, random events, the occurrence of which may have negative or even catastrophic consequences. Examples include internet server overflows, mechanical breakdowns, floods, and financial crashes. Rare events can also have a positive effect, triggering for example chemical reactions or driving genetic evolution via random mutations.” Prof Hugo Touchette from Stellenbosch University will be shedding some light on this interesting topic in his presentation on Predicting and simulating rare events.

Prof Jeandrew Brink, Associate Professor in the Department of Mathematics and Applied Mathematics at the UFS, is presenting a plenary session on the topic Determining the geometry of strong field space-times in spite of tacitly assuming the answer during every measurement. In South Africa, state-of-the art pulsar timing data from the MeerKAT telescope will make a considerable contribution to conducting GR orbital tests. Prof Brink comments on how pulsar timing tests differ from tests using gravitational wave detectors, as well as what we can learn from the framework already employed to perform pulsar timing measurements.

News Archive

Fracking in the Karoo has advantages and disadvantages
2012-05-25

 

Dr Danie Vermeulen
Photo: Leatitia Pienaar
25 May 2012

Fracking for shale gas in the Karoo was laid bare during a public lecture by Dr Danie Vermeulen, Director of the Institute for Groundwater Studies (IGS). He shared facts, figures and research with his audience. No “yes” or “no” vote was cast. The audience was left to decide for itself.

The exploitation of shale gas in the pristine Karoo has probably been one of the most debated issues in South Africa since 2011.
 
Dr Vermeulen’s lecture, “The shale gas story in the Karoo: both sides of the coin”, was the first in a series presented by the Faculty of Natural and Agricultural Science under the theme “Sustainability”. Dr Vermeulen is a trained geo-hydrologist and geologist. He has been involved in fracking in South Africa since the debate started. He went on a study tour to the USA in 2011 to learn more about fracking and he visited the USA to further his investigation in May 2012.
 
Some of the information he shared, includes:

- It is estimated that South Africa has the fifth-largest shale-gas reserves in the world, following on China, the USA, Argentina and Mexico.
- Flow-back water is stored in sealed tanks and not in flow-back dams.
- Fracturing will not contaminate the water in an area, as the drilling of the wells will go far deeper than the groundwater aquifers. Every well has four steel casings – one within the other – with the gaps between them sealed with cement.
- More than a million hydraulic fracturing simulations took place in the USA without compromising fresh groundwater. The surface activities can cause problems because that is where man-made and managerial operations could cause pollution.
- Water use for shale-gas exploration is lower than for other kinds of energy, but the fact that the Karoo is an arid region makes the use of groundwater a sensitive issue. Dr Vermeulen highlighted this aspect as his major concern regarding shale-gas exploration.
- The cost to develop is a quarter of the cost for an oil well in the Gulf of Mexico.
- Dolerite intrusions in the Karoo are an unresearched concern. Dolerite is unique to the South African situation. Dolerite intrusion temperatures exceed 900 °C.

He also addressed the shale-gas footprint, well decommissioning and site reclamation, radio activity in the shale and the low possibility of seismic events.
 
Dr Vermeulen said South Africa is a net importer of energy. About 90% of its power supply is coal-based. For continued economic growth, South Africa needs a stable energy supply. It is also forecast that energy demand in South Africa is growing faster than the average global demand.
 
Unknowns to be addressed in research and exploration are the gas reserves and gas needs of South Africa. Do we have enough water? What will be the visual and social impact? Who must do the exploration?
 
“Only exploration will give us these answers,” Dr Vermeulen said.

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