Skip to main content
Home
plus.maths.org

Secondary menu

  • My list
  • About Plus
  • Sponsors
  • Subscribe
  • Contact Us
  • Log in
  • Main navigation

  • Home
  • Articles
  • Collections
  • Podcasts
  • Maths in a minute
  • Puzzles
  • Videos
  • Topics and tags
  • For

    • cat icon
      Curiosity
    • newspaper icon
      Media
    • graduation icon
      Education
    • briefcase icon
      Policy

      Popular topics and tags

      Shapes

      • Geometry
      • Vectors and matrices
      • Topology
      • Networks and graph theory
      • Fractals

      Numbers

      • Number theory
      • Arithmetic
      • Prime numbers
      • Fermat's last theorem
      • Cryptography

      Computing and information

      • Quantum computing
      • Complexity
      • Information theory
      • Artificial intelligence and machine learning
      • Algorithm

      Data and probability

      • Statistics
      • Probability and uncertainty
      • Randomness

      Abstract structures

      • Symmetry
      • Algebra and group theory
      • Vectors and matrices

      Physics

      • Fluid dynamics
      • Quantum physics
      • General relativity, gravity and black holes
      • Entropy and thermodynamics
      • String theory and quantum gravity

      Arts, humanities and sport

      • History and philosophy of mathematics
      • Art and Music
      • Language
      • Sport

      Logic, proof and strategy

      • Logic
      • Proof
      • Game theory

      Calculus and analysis

      • Differential equations
      • Calculus

      Towards applications

      • Mathematical modelling
      • Dynamical systems and Chaos

      Applications

      • Medicine and health
      • Epidemiology
      • Biology
      • Economics and finance
      • Engineering and architecture
      • Weather forecasting
      • Climate change

      Understanding of mathematics

      • Public understanding of mathematics
      • Education

      Get your maths quickly

      • Maths in a minute

      Main menu

    • Home
    • Articles
    • Collections
    • Podcasts
    • Maths in a minute
    • Puzzles
    • Videos
    • Topics and tags
    • Audiences

      • cat icon
        Curiosity
      • newspaper icon
        Media
      • graduation icon
        Education
      • briefcase icon
        Policy

      Secondary menu

    • My list
    • About Plus
    • Sponsors
    • Subscribe
    • Contact Us
    • Log in
    • When will they blow?

      18 October, 2004
      18/10/2004


      Sometimes a watched pot does boil, or at least simmer, as scientists monitoring Mount St. Helens have found out. The recent earthquakes, oozing lava, and billowing clouds of steam and ash have been the most intense activity at the heavily monitored mountain in 18 years, and have highlighted the importance of predicting eruptions and understanding what makes volcanoes tick.

      Scientists became concerned earlier this month as they monitored an earthquake swarm - hundreds of small magnitude earthquakes - beneath the dome. These became stronger and shallower, indicating magma moving near the surface, and a volcano alert was issued on October 2. There have been several vents of steam and ash clouds thousands of metres high, and magma has oozed out raising the lava dome by several hundred feet. However, in the last week seismic activity has decreased, and the alert level has been lowered as scientists no longer expect a sudden destructive eruption.

      Aerial view of Mount St. Helens' crater rim and plume on 5 October 2004. <font size=-1>Photograph courtesy of USGS</font>

      Aerial view of Mount St. Helens' crater rim and plume on 5 October 2004. Photograph courtesy of USGS

      It was common sense to raise the alert levels, said Dave Rothery from the Open University. "It was simply that earthquakes were getting shallower and stronger and more frequent," and shallower earthquakes mean that something is closer to the surface. The good thing about volcanoes is that they build up to a crescendo, unlike earthquakes where you get a big initial quake and smaller aftershocks. "We are in the fortunate position that you get warning with a volcano," he said.

      But eruption prediction is still an inexact science, and essentially comes down to spotting patterns in the monitoring data that are similar to those that have led to eruptions in the past - such as more shallow earthquakes and the volcano bulging as magma pushes up. But scientists are trying to get a better idea of exactly what is happening inside volcanoes, in the hope of being able one day to predict eruptions more accurately.

      Using data from previous eruptions and from currently active volcanoes, they are working on mathematical models of the processes that occur inside a volcano before, during and after an eruption. These models may involve fluid dynamics, thermodynamics and solid mechanics. Because of the complex nature of the equations involved, these models are often of a simplified system representing a volcano, but these simplified models still yield encouraging results when compared to real life versions. (Read more about fluid dynamics and volcanic eruptions in Going with the flow.)

      Stephen Sparks from the Department of Earth Sciences at Bristol University has developed mathematical models of the processes involved as magma moves through a particular type of volcano, and his models produce volcanic features seen in the field. In his article for FirstScience.com, he said that, although it is early days, using mathematical modelling to help interpret the signals that are monitored on volcanoes may make it possible to improve the scientific basis for forecasting eruptions in the future.

      Some mathematical models are already being used in situations such as the recent activity at Mount St. Helens. The warnings issued by the survey team included predictions from eruption and weather models as to how the steam and ash clouds produced would disperse and affect the surrounding area.

      Over a million people have been killed by volcanoes in the last 3,000 years, with 25,000 killed as recently as 1985 in the Nevado del Ruiz eruption in Columbia. But scientists were able to give enough warning before the 1991 eruption of Mount Pinatubo in the Philippines to save thousands of lives. So, although scientists can't stop an eruption from happening, with current observational techniques and future mathematical models they hope to improve the accuracy of eruption prediction and give enough warning to save lives should the next rumbles from Mount St. Helens, or any other volcano, turn deadly.

      Read more about...
      mathematical modelling
      prediction
      fluid mechanics
      volcanic eruption
      earthquakes
      • Log in or register to post comments

      Read more about...

      mathematical modelling
      prediction
      fluid mechanics
      volcanic eruption
      earthquakes
      University of Cambridge logo

      Plus is part of the family of activities in the Millennium Mathematics Project.
      Copyright © 1997 - 2025. University of Cambridge. All rights reserved.

      Terms