The following syntax is associated with the PERMEABILITY LOG-LOG command:
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1 1 APES documentation (revision date: ) PERMEABILITY LOG-LOG command Synopsis The PERMEABILITY LOG-LOG command is used to specify values for permeability coefficients that vary logarithmically Such a an empirical relationship between the logarithm of the coefficient of permeability and logarithm of the void ratio was proposed by Mesri and Olson [1] It is particularly applicable to clay soils Syntax The following syntax is associated with the PERMEABILITY LOG-LOG command: PERmeability LOG-log NUMber ## DEScription string K11 ## K12 ## K13 ## K22 ## K23 ## K33 ## DENsity ## A Parameter ## B Parameter ## Explanatory Notes Mesri and Olson [1] found that, if considered over a very wide range of void ratios, Taylor s formula [2] for clays; viz, log 10 k = log 10 k in (e in e) C k (1) did not hold in all cases Consequently, they proposed the following two-parameter linear relationship between the logarithms of the coefficient of permeability k and void ratio e: log 10 k = A log 10 e + B (2) where A and B are constants Equation (2) is typically re-written in the following form: k = e A 10 B (3)
2 2 The keywords associated with the PERMEABILITY LOG-LOG command have the following meaning: NUMBER: The integer associated with this keyword is used to specify the (global) number of the semi-logarithmic permeability idealization The default permeability number is one (1) DESCRIPTION: The alphanumeric string associated with this keyword is included to describe the permeability specification It has no effect on the values used in the specification The alphanumeric string must be enclosed in double quotes ( ) K11: The real number associated with this keyword represents the value of the coefficient of permeability k 11 (units of Lt 1 ) The default value of K11 is equal to one (10) K12: The real number associated with this keyword represents the value of the coefficient of permeability k 12 (units of Lt 1 ) The default value of K12 is equal to zero (00) K13: The real number associated with this keyword represents the value of the coefficient of permeability k 13 (units of Lt 1 ) The K13 keyword is only applicable to three-dimensional analyses The default value of K13 is equal to zero (00) K22: The real number associated with this keyword represents the value of the coefficient of permeability k 22 (units of Lt 1 ) The default value of K22 is equal to one (10) K23: The real number associated with this keyword represents the value of the coefficient of permeability k 23 (units of Lt 1 ) The K23 keyword is only applicable to three-dimensional analyses The default value of K23 is equal to zero (00) K33: The real number associated with this keyword represents the value of the coefficient of permeability k 23 (units of Lt 1 ) The K33 keyword is only applicable to three-dimensional analyses The default value of K33 is equal to one (10) DENSITY: The real number associated with this keyword represents the density (γ f = ρ f g) of the pore fluid (units of F L 3 ) The default value of γ f is 10 A PARAMETER: The real number associated with this keyword represents the constant A in equation (2) The default value for this parameter is one (10) B PARAMETER: The real number associated with this keyword represents the constant B in equation (2) The default value for this parameter is one (10) Remark 1 The permeability coefficients have the units of Lt 1 As such, they represent the permeability coefficients commonly specified by civil engineers
3 3 Example of Command Usage The following command is used to specify a power idealization of the permeability associated with a two-dimensional spatial idealization: permeability log-log number 1 & descr Mesri-Olson (1971) permeability idealization k11 125e-04 k e-04 density 10 & a_param 25 b_param 085 &
4 4
5 References [1] Mesri, G, and R E Olson, Mechanisms Controlling the Permeability of Clays, Clays and Clay Minerals, 19: (1971) [2] Taylor, D W, Fundamentals of Soil Mechanics, New York: John Wiley and Sons, Inc (1948) 5
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