{"id":586,"date":"2022-12-11T23:46:06","date_gmt":"2022-12-11T23:46:06","guid":{"rendered":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/?post_type=part&p=586"},"modified":"2023-03-23T18:06:58","modified_gmt":"2023-03-23T18:06:58","slug":"notation","status":"publish","type":"part","link":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/part\/notation\/","title":{"raw":"14 Notation","rendered":"14 Notation"},"content":{"raw":"
\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
A<\/em><\/td>\r\ncross-sectional area perpendicular to flow (L2<\/sup>)<\/td>\r\n<\/tr>\r\n
\u03b1<\/em><\/td>\r\ncompressibility of the aquifer skeleton (T2<\/sup>LM\u22121<\/sup>)<\/td>\r\n<\/tr>\r\n
\u03b2<\/em><\/td>\r\ncompressibility of water (T2<\/sup>LM\u22121<\/sup>)<\/td>\r\n<\/tr>\r\n
C<\/em><\/td>\r\nconcentration in the stream water (ML\u22123<\/sup>)<\/td>\r\n<\/tr>\r\n
C<\/em>g<\/em><\/sub><\/td>\r\nconcentration in 100% groundwater (ML\u22123<\/sup>)<\/td>\r\n<\/tr>\r\n
C<\/em>r<\/em><\/sub><\/td>\r\nconcentration in 100% surface runoff water (ML\u22123<\/sup>)<\/td>\r\n<\/tr>\r\n
D<\/em><\/td>\r\nin Equation 2<\/a>, mean pore size diameter for porous media or the pipe diameter (L)<\/td>\r\n<\/tr>\r\n
D<\/em><\/td>\r\nin Equation 4<\/a>, hydraulic diameter of the pipe (L) (for circular pipe it is the pipe diameter, but for a non-circular pipe D = 2 times the square root of (A\/\u03c0); where A is the cross-sectional area)<\/td>\r\n<\/tr>\r\n
\u0394h<\/em><\/td>\r\nmeasured head difference (L)<\/td>\r\n<\/tr>\r\n
\u0394l<\/em><\/td>\r\nlength over which the head difference is measured (L)<\/td>\r\n<\/tr>\r\n
\u0394p<\/em><\/td>\r\npressure difference between two ends of the pipe (ML\u22121<\/sup>T\u22122<\/sup>)<\/td>\r\n<\/tr>\r\n
f<\/em>D<\/em><\/sub><\/td>\r\nDarcy friction factor (dimensionless)<\/td>\r\n<\/tr>\r\n
g<\/em><\/td>\r\nlocal acceleration due to gravity or gravity constant (LT\u22122<\/sup>)<\/td>\r\n<\/tr>\r\n
K<\/em><\/td>\r\nhydraulic conductivity of the porous medium (LT\u22121<\/sup>)<\/td>\r\n<\/tr>\r\n
L<\/em><\/td>\r\npipe length (L)<\/td>\r\n<\/tr>\r\n
\u03bc<\/em><\/td>\r\nabsolute or dynamic viscosity of water (ML\u22121<\/sup>T\u22121<\/sup>]<\/td>\r\n<\/tr>\r\n
n<\/em><\/td>\r\nporosity (dimensionless)<\/td>\r\n<\/tr>\r\n
\u03bd<\/em><\/td>\r\nkinematic viscosity of water (L2<\/sup>T\u22121<\/sup>)<\/td>\r\n<\/tr>\r\n
Q<\/em><\/td>\r\nvolumetric discharge (L3<\/sup>T\u22121<\/sup>)<\/td>\r\n<\/tr>\r\n
q<\/em><\/td>\r\nspecific discharge (LT\u22121<\/sup>)<\/td>\r\n<\/tr>\r\n
Q<\/em>g<\/em><\/sub><\/td>\r\ngroundwater portion of the total discharge of the stream (L3<\/sup>T\u22121<\/sup>)<\/td>\r\n<\/tr>\r\n
Q<\/em>r<\/em><\/sub><\/td>\r\nsurface runoff portion of the total discharge of the stream (L3<\/sup>T\u22121<\/sup>)<\/td>\r\n<\/tr>\r\n
r<\/em><\/td>\r\npipe radius (L)<\/td>\r\n<\/tr>\r\n
Re<\/em><\/td>\r\nReynolds number (dimensionless)<\/td>\r\n<\/tr>\r\n
\u03c1<\/em><\/td>\r\ndensity of water (ML\u22123<\/sup>)<\/td>\r\n<\/tr>\r\n
S<\/em>s<\/em><\/sub><\/td>\r\nspecific storage (L\u22121<\/sup>)<\/td>\r\n<\/tr>\r\n
V<\/em><\/td>\r\nQ\/A<\/em> and is the mean flow velocity (LT\u22121<\/sup>) across a cross sectional area (also called Darcy velocity), which is equal to the volumetric flow, Q (L3<\/sup>T\u22121<\/sup>), divided by the cross-sectional area perpendicular to the direction of flow, A<\/em> (L2<\/sup>)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>","rendered":"
\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
A<\/em><\/td>\ncross-sectional area perpendicular to flow (L2<\/sup>)<\/td>\n<\/tr>\n
\u03b1<\/em><\/td>\ncompressibility of the aquifer skeleton (T2<\/sup>LM\u22121<\/sup>)<\/td>\n<\/tr>\n
\u03b2<\/em><\/td>\ncompressibility of water (T2<\/sup>LM\u22121<\/sup>)<\/td>\n<\/tr>\n
C<\/em><\/td>\nconcentration in the stream water (ML\u22123<\/sup>)<\/td>\n<\/tr>\n
C<\/em>g<\/em><\/sub><\/td>\nconcentration in 100% groundwater (ML\u22123<\/sup>)<\/td>\n<\/tr>\n
C<\/em>r<\/em><\/sub><\/td>\nconcentration in 100% surface runoff water (ML\u22123<\/sup>)<\/td>\n<\/tr>\n
D<\/em><\/td>\nin Equation 2<\/a>, mean pore size diameter for porous media or the pipe diameter (L)<\/td>\n<\/tr>\n
D<\/em><\/td>\nin Equation 4<\/a>, hydraulic diameter of the pipe (L) (for circular pipe it is the pipe diameter, but for a non-circular pipe D = 2 times the square root of (A\/\u03c0); where A is the cross-sectional area)<\/td>\n<\/tr>\n
\u0394h<\/em><\/td>\nmeasured head difference (L)<\/td>\n<\/tr>\n
\u0394l<\/em><\/td>\nlength over which the head difference is measured (L)<\/td>\n<\/tr>\n
\u0394p<\/em><\/td>\npressure difference between two ends of the pipe (ML\u22121<\/sup>T\u22122<\/sup>)<\/td>\n<\/tr>\n
f<\/em>D<\/em><\/sub><\/td>\nDarcy friction factor (dimensionless)<\/td>\n<\/tr>\n
g<\/em><\/td>\nlocal acceleration due to gravity or gravity constant (LT\u22122<\/sup>)<\/td>\n<\/tr>\n
K<\/em><\/td>\nhydraulic conductivity of the porous medium (LT\u22121<\/sup>)<\/td>\n<\/tr>\n
L<\/em><\/td>\npipe length (L)<\/td>\n<\/tr>\n
\u03bc<\/em><\/td>\nabsolute or dynamic viscosity of water (ML\u22121<\/sup>T\u22121<\/sup>]<\/td>\n<\/tr>\n
n<\/em><\/td>\nporosity (dimensionless)<\/td>\n<\/tr>\n
\u03bd<\/em><\/td>\nkinematic viscosity of water (L2<\/sup>T\u22121<\/sup>)<\/td>\n<\/tr>\n
Q<\/em><\/td>\nvolumetric discharge (L3<\/sup>T\u22121<\/sup>)<\/td>\n<\/tr>\n
q<\/em><\/td>\nspecific discharge (LT\u22121<\/sup>)<\/td>\n<\/tr>\n
Q<\/em>g<\/em><\/sub><\/td>\ngroundwater portion of the total discharge of the stream (L3<\/sup>T\u22121<\/sup>)<\/td>\n<\/tr>\n
Q<\/em>r<\/em><\/sub><\/td>\nsurface runoff portion of the total discharge of the stream (L3<\/sup>T\u22121<\/sup>)<\/td>\n<\/tr>\n
r<\/em><\/td>\npipe radius (L)<\/td>\n<\/tr>\n
Re<\/em><\/td>\nReynolds number (dimensionless)<\/td>\n<\/tr>\n
\u03c1<\/em><\/td>\ndensity of water (ML\u22123<\/sup>)<\/td>\n<\/tr>\n
S<\/em>s<\/em><\/sub><\/td>\nspecific storage (L\u22121<\/sup>)<\/td>\n<\/tr>\n
V<\/em><\/td>\nQ\/A<\/em> and is the mean flow velocity (LT\u22121<\/sup>) across a cross sectional area (also called Darcy velocity), which is equal to the volumetric flow, Q (L3<\/sup>T\u22121<\/sup>), divided by the cross-sectional area perpendicular to the direction of flow, A<\/em> (L2<\/sup>)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n","protected":false},"parent":0,"menu_order":14,"template":"","meta":{"pb_part_invisible":false,"pb_part_invisible_string":""},"contributor":[],"license":[],"class_list":["post-586","part","type-part","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/pressbooks\/v2\/parts\/586","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/pressbooks\/v2\/parts"}],"about":[{"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/wp\/v2\/types\/part"}],"version-history":[{"count":7,"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/pressbooks\/v2\/parts\/586\/revisions"}],"predecessor-version":[{"id":935,"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/pressbooks\/v2\/parts\/586\/revisions\/935"}],"wp:attachment":[{"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/wp\/v2\/media?parent=586"}],"wp:term":[{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/wp\/v2\/contributor?post=586"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/wp\/v2\/license?post=586"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}