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08 March 2022 | Story Andre Damons | Photo Sonia Small (Kaleidoscope Studios)
Prof Abdon Antangana
Prof Abdon Atangana, a Professor of Applied Mathematics in the Institute for Groundwater Studies at the University of the Free State (UFS) and South Africa’s top-ranked scientist in Mathematics, wants to prepare the next generation of African professors.

A new book written by Prof Abdon Atangana, Professor of Applied Mathematics at the Institute for Groundwater Studies at the University of the Free State (UFS), in collaboration with one of his students, on the flow of groundwater, suggests several new and modified models to better predict anomalous behaviours of the flow and the movement of pollution within complex geological formations.

Mathematical Analysis of Groundwater Flow Models is one of two books Prof Atangana published recently that he wrote with his students. The other, Fractional Stochastic Differential Equations: Applications to Covid-19 Modeling, provides a thorough conversation on the underpinnings of COVID-19 spread modelling. He wrote the book with a postdoctoral fellow, Dr Seda Araz Igret from SIIRT University, Turkey. Since 2016 he has published a total number of six books, some of which are still under evaluation by Springer and Elsevier.

Time to prepare next generation of African professors 

This highly cited researcher is excited about collaborating with his students on projects such as these as he feels it is time for him to prepare the way for the next generation of African professors. Prof Atangana is ranked at No 219 in the world rankings and No 1 in South Africa by Research.com, a leading academic platform for researchers. 

According to the platform, which recently released the 2022 Edition of its Ranking of Top 1000 Scientists in the field of Mathematics, the ranking is based on the H-index metric provided by Microsoft Academic and includes only leading scientists with an H-index of at least 30 for academic publications in the field of Mathematics.

“Both books are important for me because they are first-time published books with my own students. There is a time to prepare the way for yourself and a time to prepare ways for the next generation. It is time for me to prepare the way for the next generation of African professors. I wish that the next time this list (https://research.com/scientists-rankings/mathematics/za) [is released] many of my students [will] appear,” says Prof Atangana.

About his book with Dr Igret, he says it presents the dynamic of COVID-19 spread behaviour worldwide. It is noticed that the spread dynamic followed process with nonlocal behaviours, which resemble power law, fading memory, crossover, and stochastic behaviours. Fractional stochastic differential equations are therefore used to model spread behaviours in different parts of the world. 

“The content coverage includes a brief history of COVID-19 spread worldwide from December 2019 to September 2021, followed by statistical analysis of collected data for infected, death and recovery classes,” says Prof Atangana.

Mathematical analysis of Groundwater Flow Models serves as a valuable resource for graduate and PhD students as well as researchers working within the field of groundwater modelling, says Prof Atangana. It includes features such as:
• Modified numerical and analytical methods for solving new and modified models for groundwater flow and transport 
• New flow and transform models for groundwater transport in complex geological formations 
• Examination of fractal and crossover behaviours and their mathematical formulations

Top-ranking scientist 

Prof Atangana was also recently elected as a fellow of The World Academy of Sciences (TWAS) and received the World Academy of Sciences Award for Mathematics (TWAS -Mohammad A Hamdan, 2020) on 1 November 2021.

Very recently, he was also ranked No 1 in the world in Mathematics, No 186 in the world in all the fields, and No 1 in Africa in all the fields, according to the Stanford list of 2% single-year table.

He was also named among the top 1% of scientists on the global Clarivate Web of Science list. Fewer than 6 200 or 0.1% of the world’s researchers were included on this list in 2019, 2020 and 2021, with fewer than 10 of the scientists hailing from South Africa. 

“While my name is ranked No 1 in South Africa and No 219 in the world, this shows the impact of my research that has been done since 2013. It is worth noting that this ranking disadvantages younger researchers. For example, I got my first publication in 2013 but the researcher who was ranked No 1 started in 1972. To make the ranking fair, the total H-index should be divided by the number of years of publication. I am very proud to see that despite this disadvantage I am still topping in South Africa and am No 219 in the world.”

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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