Abstract: Based on the laboratory simulation of the spring flow attenuation in fissure-conduit media of a groundwater system,the Cochrane-Orcutt iteration method combined with the Heteroskedasticity and Autocorrelation Consistent Covariances was used to identify and decrease the colored noises during the linear model developing process.The analysis of the Heteroskedasticity and Autocorrelation Consistent Covariances shows that the discharge of a spring in the fissure-conduit media has the characteristics of three order lag correlation.A vector autoregressive model for spring flow of the fissure-conduit media has been established and the model results have a relatively high simulation precision.