Pore-structure models of hydraulic conductivity for permeable pavement

Summary Permeable pavement functions as a porous infrastructure interface allowing the infiltration and evaporation of rainfall–runoff while functioning as a relatively smooth load-bearing surface for vehicular transport. Hydraulic conductivity (k) of permeable pavement is an important hydraulic property and is a function of the pore structure. This study examines k for a cementitious permeable pavement (CPP) through a series of pore-structure models. Measurements utilized include hydraulic head as well as total porosity, (ϕt), effective porosity (ϕe), tortuosity (Le/L) and pore size distribution (PSD) indices generated through X-ray tomography (XRT). XRT results indicate that the permeable pavement pore matrix is hetero-disperse, with high tortuosity and ϕt ≠ ϕe. Power law models of k–ϕt and k–ϕe relationships are developed for a CPP mix design. Results indicate that the Kruger, Fair-Hatch, Hazen, Slichter, Beyer and Terzaghi models based on simple pore-structure indices do not reproduce measured k values. The conventional Kozeny–Carman model (KCM), a more parameterized pore-structure model, did not reproduce measured k values. This study proposes a modified KCM utilizing ϕe, specific surface area (SSA)pe and weighted tortuosity (Le/L)w. Results demonstrate that such permeable pavement pore-structure parameters with the modified KCM can predict k. The k results are combined with continuous simulation modeling using historical rainfall to provide nomographs examining permeable pavement as a low impact development (LID) infrastructure component.

[1]  F. Dullien Porous Media: Fluid Transport and Pore Structure , 1979 .

[2]  Yoshito Nakashima,et al.  Estimate of transport properties of porous media by microfocus X‐ray computed tomography and random walk simulation , 2002 .

[3]  Valérie Colandini,et al.  Effects of a porous pavement with reservoir structure on runoff water: water quality and fate of heavy metals , 1999 .

[4]  D. Dollimore,et al.  Theoretical and experimental values for the parameter k of the Kozeny-Carman equation, as applied to sedimenting suspensions , 1980 .

[5]  W. Rawls,et al.  Predicting Saturated Hydraulic Conductivity Utilizing Fractal Principles , 1993 .

[6]  John J. Sansalone,et al.  In Situ Partial Exfiltration of Rainfall Runoff. I: Quality and Quantity Attenuation , 2004 .

[7]  C. Lakshmana Rao,et al.  Permeability and bleeding of asphalt concrete using mixture theory , 2001 .

[8]  D. K. Cassel,et al.  EVALUATION OF SPATIAL DISTRIBUTION OF HYDRAULIC CONDUCTIVITY USING EFFECTIVE POROSITY DATA , 1989 .

[9]  Budiman Minasny,et al.  Evaluation and development of hydraulic conductivity pedotransfer functions for Australian soil , 2000 .

[10]  Chad M. Cristina,et al.  Kinematic Wave Model of Urban Pavement Rainfall-Runoff Subject to Traffic Loadings , 2003 .

[11]  John S. Selker,et al.  Use of porosity to estimate hydraulic properties of volcanic tuffs , 2003 .

[12]  Nader Ghafoori,et al.  Pavement thickness design for no-fines concrete parking lots , 1995 .

[13]  John J. Sansalone,et al.  VARIABLY SATURATED FLOW IN STORM-WATER PARTIAL EXFILTRATION TRENCH , 1999 .

[14]  P. Carman,et al.  Flow of gases through porous media , 1956 .

[15]  Ian D L Foster,et al.  The role of urban surfaces (permeable pavements) in regulating drainage and evaporation: development of a laboratory simulation experiment , 1999 .

[16]  Rafael Muñoz-Carpena,et al.  Estimating the saturated hydraulic conductivity in a spatially variable soil with different permeameters: a stochastic Kozeny-Carman relation , 2004 .

[17]  Richard Field,et al.  Status of porous pavement research , 1982 .

[18]  M. Knackstedt,et al.  Direct simulation of electrical and hydraulic tortuosity in porous solids , 1995 .

[19]  J. Sansalone,et al.  Differentiation of transport for particulate and dissolved water chemistry load indices in rainfall–runoff from urban source area watersheds , 2008 .

[20]  D. Booth,et al.  Long-term stormwater quantity and quality performance of permeable pavement systems. , 2003, Water research.

[21]  Ian P. King,et al.  An expression for the permeability of anisotropic granular media , 1989 .

[22]  Thomas J. Jackson,et al.  Hydrology of Porous Pavement Parking Lots , 1974 .

[23]  L. Ahuja,et al.  Use of Brooks-Corey Parameters to Improve Estimates of Saturated Conductivity from Effective Porosity , 1999 .

[24]  C. Pagotto,et al.  Comparison of the hydraulic behaviour and the quality of highway runoff water according to the type of pavement , 2000 .

[25]  Z. Paydar,et al.  Prediction of hydraulic conductivity for some Australian soils , 2003 .

[26]  James G. Berryman,et al.  Kozeny–Carman relations and image processing methods for estimating Darcy’s constant , 1987 .

[27]  James Graham,et al.  Hydraulic conductivity of clays in confined tests under low hydraulic gradients , 1999 .

[28]  Magnus Bäckström,et al.  Draining function of porous asphalt during snowmelt and temporary freezing , 2000 .

[29]  Zhong Qi Yue,et al.  APPLICATION OF DIGITAL IMAGE PROCESSING TO QUANTITATIVE STUDY OF ASPHALT CONCRETE MICROSTRUCTURE , 1995 .

[30]  John J. Sansalone,et al.  Permeable Pavement as a Hydraulic and Filtration Interface for Urban Drainage , 2008 .

[31]  Edward J. Garboczi,et al.  Permeability, diffusivity, and microstructural parameters: A critical review , 1990 .

[32]  Schwartz,et al.  Fluid permeability in porous media: Comparison of electrical estimates with hydrodynamical calculations. , 1992, Physical review. B, Condensed matter.

[33]  Z. Bažant,et al.  Modeling Chloride Penetration in Saturated Concrete , 1999 .

[34]  M. R. Stinson,et al.  POROUS ROAD PAVEMENTS : ACOUSTICAL CHARACTERIZATION AND PROPAGATION EFFECTS , 1997 .

[35]  C. J. Pratt,et al.  UK research into the performance of permeable pavement, reservoir structures in controlling stormwater discharge quantity and quality , 1995 .

[36]  Satoshi Watanabe,et al.  Study on storm water control by permeable pavement and infiltration pipes , 1995 .

[37]  Nader Ghafoori,et al.  Laboratory Investigation of Compacted No-Fines Concrete for Paving Materials , 1995 .

[38]  T. Miyazaki,et al.  Scaling of saturated hydraulic conductivity: a comparison of models. , 2000 .

[39]  M. Schaap,et al.  Using microscope observations of thin sections to estimate soil permeability with the Kozeny–Carman equation , 2001 .

[40]  J. Sansalone,et al.  In Situ Partial Exfiltration of Rainfall Runoff. II: Particle Separation , 2004 .

[41]  Mohd Rosli Hainin,et al.  An investigation of factors influencing permeability of Superpave mixes , 2003 .

[42]  M. Tia,et al.  AN EXPERIMENTAL STUDY ON THE WATER-PURIFICATION PROPERTIES OF POROUS CONCRETE , 2004 .

[43]  K. Krauth,et al.  The pollution of effluents from pervious pavements of an experimental highway section: first results , 1994 .

[44]  K. P. Saripalli,et al.  Prediction of Diffusion Coefficients in Porous Media Using Tortuosity Factors Based on Interfacial Areas , 2002, Ground water.

[45]  Takashi Asaeda,et al.  Characteristics of permeable pavement during hot summer weather and impact on the thermal environment , 2000 .

[46]  Craig H. Benson,et al.  Hydraulic Conductivity (Permeability) of Laboratory-Compacted Asphalt Mixtures , 2001 .

[47]  T. Miyazaki,et al.  A mathematical model for biological clogging of uniform porous media , 2001 .

[48]  T. Oke The energetic basis of the urban heat island , 1982 .

[49]  Magnus Bäckström Ground Temperature in Porous Pavement during Freezing and Thawing , 2000 .