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Porosity of Permeable Friction Courses (PFC) Brandon Klenzendorf April 28, 2009 CE 397 – Statistics in Water Resources
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Layer of porous asphalt 1 to 2 inches thick over impervious roadway surface Water enters pore space and provides benefits: ◦ Reduced splash/spray ◦ Improved traction ◦ Reduced hydroplaning ◦ Improved water quality Pores become clogged with sediment over time resulting in a loss of porosity Can we predict the extent of clogging over time? Conventional Asphalt PFC Overlay
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PFC cores are extracted from three roadways for the past three years: ◦ Loop 360 ◦ FM 1431 ◦ FM 620 ◦ March 2007 ◦ February 2008 ◦ February 2009 PFC layer
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33 total porosity measurements
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Kruskall-Wallis Test ◦ H 0 : all groups have identical distributions ◦ Reject H 0 if K ≥ K α (from tables) Mann-Whitney Test (Rank Sum Test) ◦ H 0 : the means of two groups are identical ◦ Reject H 0 if T ≤ T α/2 (from tables)
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Kruskal-Wallis Test Grouped byK calc K 0.05 DecisionComment 20075.425.60Do Not Reject H 0 All locations had the same porosity in 2007 20089.355.62Reject H 0 At least one location had a different porosity 20097.465.62Reject H 0 At least one location had a different porosity Loop 3606.235.63Reject H 0 At least one year had a different porosity FM 14315.60 Reject H 0 At least one year had a different porosity FM 6205.965.60Reject H 0 At least one year had a different porosity
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Compare two years of Loop 360 porosity ◦ Mann-Whitney Test Extend this analysis to the other roadways Extend this analysis to individual years Grouped byStatisticCriticalDecisionComment ‘07 & ‘08T=167.0 Do Not Reject H 0 2007 and 2008 had the same porosity ‘08 & ’09T=2627.0Reject H 0 2008 and 2009 had different porosities ‘07 & ‘09T=2323.0Reject H 0 2007 and 2009 had different porosities
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Multiple variables can influence PFC porosity ◦ Life of pavement ◦ Traffic volume ◦ Precipitation ◦ Roadway geometry (slope, width, etc.) ◦ Nearby construction sites, etc. Only consider first four variables
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Estimate annual average daily traffic (AADT) Linear regression from 16 years of data
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LCRA Hydromet data for Loop 360 and FM 1431 Need to find precipitation data for FM 620
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Complete multiple variable trend analysis Write final report Extend this analysis to hydraulic conductivity data (data set not complete) Determine correlation between porosity and hydraulic conductivity How can these measurements be used to predict PFC benefits (water quality)?
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Questions or Comments?
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PFC Introduction Porosity Data Statistical Tests ◦ Kruskall-Wallis Test ◦ Mann-Whitney Test Test Results Trend Analysis Future Work
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Compare porosity in travel lane to shoulder on Loop 360 ◦ Both Kruskal-Wallis test and Mann-Whitney test Grouped byStatisticCriticalDecisionComment Travel LaneK=4.275.60 Do Not Reject H 0 All years had the same porosity in the travel lane ShoulderT=76.0 Do Not Reject H 0 All years had the same porosity in the shoulder ComparisonT=4932.0 Do Not Reject H 0 No difference between travel lane and shoulder
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Remove impervious base material Vacuum sealed core Submerged specific weight device
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