Application of modified variable dimension fractal method by Markov chain in dam safety monitoring
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Abstract:
Previous forecast models have strong dependence on the length of the data, and the data often appears strong nonlinear. Both of these will increase the complexity of the prediction. So in order to make the monitoring data to show a certain linear relationship, this paper changed constant dimension fractal method to variable dimension fractal method to predict short-term monitoring data based on fractal theory short-term monitoring data. The corresponding mathematical model was set up. However, inevitably, there were some fluctuation errors in the results predicted by the variable dimension fractal method. This paper used the Markov chain to modify these predicted results based on the characteristic of no aftereffect. The results analyzed by Xixi reservoir monitoring data showed that the revised error could be optimized by 0.89%. Obviously, it could be concluded that the variable dimension fractal method modified by Markov chain could effectively reduce error and improve the precision of prediction.
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