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11 January 2018 Photo Charl Devenish
UFS researcher publishes the highest-cited Maths paper in the world in 2017
An article by Prof Abdon Atangana from the University of the Free State’s Institute for Groundwater Studies received New Hot Paper status from Clarivate Analytics.
An article on Applied Mathematics, published by Prof Abdon Atangana from the University of the Free State’s Institute for Groundwater Studies in 2017, was recently named New Hot Paper by Clarivate Analytics.

Hot paper status
Essential Science Indicators (ESI) is a unique and comprehensive compilation of science performance statistics and science trends. Data is based on journal article publication counts and citation data from Clarivate Analytics that enables researchers to conduct ongoing, quantitative analyses of research performance and track trends in science. Covering a multidisciplinary selection of 1 2000+ journals from around the world, this in-depth analytical tool offers data for ranking papers, scientists, institutions, countries, and journals. 

ESI from Clarivate Analytics is updated every two months. The New Hot Papers, which are papers published in the past two years, are in the top one-tenth of one percent (0.1%) for their field and publication period. Prof Atangana’s paper had the highest cite count in the field of Mathematics. 

His article that received the New Hot Paper status is titled: “The new fractional derivative and application to nonlinear Fisher’s reaction-diffusion equation”.

The concept of fractional differential operators with non-singular kernel has captured the minds of several researchers in the past year due to their wider applicability in almost all fields of science, engineering and technology. The new fractional differential operators have opened new windows to model complex real-world problems that could not be modelled using the Newtonian and the well-known Riemann-Liouville fractional differential operators. 

“These operators are the way forward in modelling real-world problems in all disciplines, as they are able to include into mathematical formulation the effect of memory,” Prof Atangana said.

The Atangana-Baleanu fractional derivative
The professor developed a new fractional differential operator, called the Atangana-Baleanu fractional derivative. This derivative is able to describe real-world problems with different scales or problems that change their properties during time and space, for instance, the spread of cancer; the flow of water within heterogeneous aquifers, movement of pollution within fractured aquifers and many others.”

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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