A Kinematic Wave Model of Glacier Surges

A Theory of Glacier Surges

We propose a model of glacier flow for at least a hundred years, and a major conthat is capable of explaining temperate glacier ference (see Canadian Journal of Earth Sciences, surges. The laws of conservation of mass and vol. 6, pp. 807-1018, 1969) was devoted to their momentum are supplemented by the prescription study. Meier and Post [1969] summed up many of of a sliding law that gives the b...

A Mathematical Analysis of Glacier Surges

This paper describes the phenomena of glacier surges and presents a mathematical model based on realistic descriptions of glacier physics, which purports to describe the main features of the flow. The analysis reveals and predicts a variety of phenomena, many of which have been observed to occur, and gives explicit estimates for such quantities as surge front extent, "mini-surge" propagation sp...

Snow Avalanches, Ice Avalanches and Glacier Surges

A Kinematic Model of Wave Propagation

We present a purely kinematic model of wave propagation in an excitable medium, namely cardiac tissue. The kinematic model is constructed from a standard reaction-diffusion model, using asymptotic techniques to track the position and velocity of each propagating wave front and wave back. The kinematic model offers a substantial improvement in computational efficiency without sacrificing the abi...

Improved Estimates of Kinematic Wave Parameters for Circular Channels

The momentum equation in the kinematic wave model is a power-law equation with two parameters. These parameters, which relate the discharge to the flow area, are commonly derived using Manning’s equation. In general, the values of these parameters depend on the flow depth except for some special cross sections. In this paper, improved estimates of the kinematic wave parameters for circular chan...