Simulating Turbidity Currents Through a Cellular Automata Model
Salles, Tristan,
University of
Cellular
Automata (CA) represent a formal frame for dynamical systems, which evolve on
the base of local interactions. Some types of gravity flows, such as turbidity
currents match well this requirement. For CA simulation purposes, turbidity
currents can be viewed as dynamical systems, subdivided into elementary parts,
whose state evolves exclusively as a consequence of local interactions and
internal transformations within a spatial and temporal discrete domain. The
model is developped for unsteady, two-dimensional, depth-aver-aged
particle-laden turbulent underflows driven by non-uniform and non-cohesive
sediment. Space is discretized in square cells. The attributes of each cell
describe physical characteristics. For computational reasons, the natural
phenomenon is ‘decomposed’ into a number of elementary processes, with a particular
composition that makes up the transition function of the CA. The evolution of
the phenomenon can be simulated by applying this function to all the cells
simultaneously. The transition function includes effects of water incorporation
at the suspension-ambient fluid interface, transport equation for the particles
volume concentration and toppling rule for the deposited sediments. Simulations
of real turbidity currents, occured in Cap-Breton canyon in December 1999, have
been performed for model calibration purposes. A comparison of the nature, the
amount of sediment supply and the geometry of the basin between theoretical
predictions and real event is described. Simple and flexible, it constitutes a
first step towards quantitative comprehension of the impact of external
parameters on turbidity current dynamics and on the organisation of subsequent
depositional sequences (turbidites).