ThispapermakesaprobeintotheapplicationoftheKalmanfilteringmethodtothedataprocessingofacross-faultmeasurements.Onthebasisofstatisticalregression,themathematicandstochasticmodelsoffiltrationareestablishedbycombiningtheregressionmethodwithKalmanfiltering.Inthefilteringcomputation,notonlytherandomnessoffaultmovementsbutalsothetime-dependentvariationofenvironmentaleffectshavebeentakenintoconsideration.Byuseoftheadaptivefilteringmethod,anestimationofthedynamicnoisevariancematrixisobtainedthroughiteration.Modelsforonemeasuringline(levelinglineorbaseline),twomeasuringlines(bothlevelinglinesorbothbaselines)andfourmeasuringlines(twolevelinglinesandtwobaselines)arederivedandestablishedsystematically.Bymeansofthesemodels,thedataofacross-faultmeasurementscanbeprocesseddynamicallyinreal-timetoprovidethefilteredvaluesofheightdifferencebetweenbenchmarksorbaselinelengthatdifferenttimein
