Can maths mitigate natural disasters?
Last year will go on record as one of significant natural disasters both in Australia and overseas. Indeed, the flooding of the Brisbane River in January is still making news as the Queensland floods inquiry investigates whether water released from Wivenhoe Dam was responsible. Water modelling is being used to answer the question: could modelling have avoided the problem in the first place?
This natural disaster – as well as the Japanese tsunami in March and the flooding in Bangkok in October – involved the movement of fluids: water, mud or both. And all had a human cost – displaced persons, the spread of disease, disrupted transport, disrupted businesses, broken infrastructure and damaged or destroyed homes. With the planet now housing 7 billion people, the potential for adverse humanitarian effects from natural disasters is greater than ever.
Here in CSIRO’s division of Mathematical and Information Sciences, we’ve been working with various government agencies (in Australia and China) to model the flow of flood waters and the debris they carry. Governments are starting to realise just how powerful computational modelling is for understanding and analysing natural disasters and how to plan for them.
This power is based on two things – the power of computers and the power of the algorithms (computer processing steps) that run on the computers.
In recent years, the huge increase in computer power and speed coupled with advances in algorithm development has allowed mathematical modellers like us to make large strides in our research.
These advances have enabled us to model millions, even billions of water particles, allowing us to more accurately predict the effects of natural and man-made fluid flows, such as tsunamis, dam breaks, floods, mudslides, coastal inundation and storm surges.
So how does it work?
Well, fluids such as sea water can be represented as billions of particles moving around, filling spaces, flowing downwards, interacting with objects and in turn being interacted upon. Or they can be visualised as a mesh of the fluids’ shape.
Let’s consider a tsunami such as the one that struck the Japanese coast in March of last year. When a tsunami first emerges as a result of an earthquake, shallow water modelling techniques give us the most accurate view of the wave’s formation and early movement.
Once the wave is closer to the coast however, techniques known collectively as smoothed particle hydrodynamics (SPH) are better at predicting how the wave interacts with local geography. We’ve created models of a hypothetical tsunami off the northern Californian coastline to test this.
A dam break can also be modelled using SPH. The modelling shows how fast the water moves at certain times and in certain places, where water “overtops” hills and how quickly it reaches towns or infrastructure such as power stations.
This can help town planners to build mitigating structures and emergency services to coordinate an efficient response. Our models have been validated using historical data from a real dam that broke in California in 1928 – the St. Francis Dam.
Having established that our modelling techniques work better than others, we can apply them to a range of what-if situations.
In collaboration with the Satellite Surveying and Mapping Application Centre in China we tested scenarios such as the hypothetical collapse of the massive Geheyan Dam in China.
We combined our modelling techniques with digital terrain models to get a realistic picture of how such a disaster would unfold and, therefore, what actions could mitigate it.
Our experience in developing and using these techniques over several decades allows us to combine them in unique ways for each situation.
We’ve modelled fluids not just for natural disaster planning but also movie special effects, hot metal production, water sports and even something as everyday as insurance.
Insurance companies have been looking to us for help to understand how natural disasters unfold. They cop a lot of media flak after disasters for not covering people affected. People living in low-lying areafloos have traditionally had difficulty accessing flood insurance and find themselves unprotected in flood situations.
Insurers are starting to realise that the modelling of geophysical flows can provide a basis for predicting localised risk of damage due to flooding and make flood coverage a viable business proposition. One Australian insurance company has been working with us to quantify risk of inundation in particular areas.
Using data from the 1974 Brisbane floods, the floods of last year and fluid modelling data, an insurance company can reliably assess residents' exposure to particular risks and thereby determine suitable premiums.
With evidence-based tools such as fluid modelling in their arsenal, decision-makers are better prepared for the future. That may be a future of more frequent natural disasters, a future with a more-densely-populated planet, or, more likely, a combination of both.
Mahesh Prakash is Principal Research Scientist in Fluid Dynamics at CSIRO. This article was co-authored by Dr Paul Cleary, leader of CSIRO’s computational modelling team
This article was originally published on The Conversation – theconversation.edu.au. Reproduced with permission.

Comments on this article
Can maths mitigate natural disasters ?
The obvious answer is NO !
They happen !
Hence the name .
'Can the effects on human beings of the natural disaster be mitigated' may have been what the questioner was intending ?
If so , then , perhaps yes !
But not until ' the powers that be ' get-real with their planning and remove people from flood plains & heavily-forested-fire-traps.
Ignorance rules!
Oh dear, there are no IPCC climate models. The IPCC does not do climate modelling.
Some of the people working on various organs of the IPCC are scientists who work on models.
There are dozens of different models the IPCC takes into account in compiling its reports. Each model is run with different future projections for atmospheric carbon. We know exactly ( within the bounds of experimental accuracy) how much is there now.
The models Mr. Prakash discusses therefore do not necessarily need to make assumptions about atmospheric carbon, or indeed climate change. This interesting article is not about global warming.
To model the collapse of a dam we simply need to know the topography, the nature of the materials to be swept up by the flood, the fluid dynamics that will give a picture or model of how such an event will unfold.
That people can be so dismissive of a discipline such as mathematical modelling seems to be itself a very good model of how ignorant or, perhaps, anti-science we can be. GIGO indeed!
GIGO !
Garbage In Garbage Out !
When the IPCC reruns its models with realistic fossil fuel inputs then there might be a good reason to listen to them.
The Uppsala Universities Global Energy Group did a survey of all oil, coal and gas fields and found that the available fossil fuels are significantly lower than the IPCC's figures.
If the IPCC was inclined to input these new figures they would find the projected temperature rise would be a lot less than their current lowest projection.
The new figures have now been available for nearly two years, I wonder why the reluctance ?
Guess
More of a guessing game on this one but any help is help!
Math Mitigating Natural Disasters
There is no way in the world we can use math on this one and I say that with a double education in the calculator with engineering as well as electrical energy provision.
We actually already have the math involved, we just can't see the temperatures discussed. Building development is supposed to blend in, use less energy, watch out for solar radiation, building code compliance, etc. At the end of the day buildings are signed off as compliant with building codes because we couldn't verify energy use.
Urban heat islands are thought to be warmer areas, they aren't known for generating extreme heat close to boiling temperature. The world spends billions on energy costs reacting to urban heat and air conditioning is refrigeration. The United Nations met and discussed man made heat, here is what they missed in the calculators. Paint and shade your buildings, eliminate the heat. Here is a time-lapsed infrared video with images taken every 60 seconds, see any changes? http://youtu.be/dKGHKTkqeMc