{"id":47,"date":"2026-04-10T02:39:38","date_gmt":"2026-04-10T02:39:38","guid":{"rendered":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/?post_type=part&p=47"},"modified":"2026-05-12T01:42:34","modified_gmt":"2026-05-12T01:42:34","slug":"12-notations","status":"publish","type":"part","link":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/part\/12-notations\/","title":{"raw":"12. Notations","rendered":"12. Notations"},"content":{"raw":" \r\n<\/colgroup>\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\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><\/th>\r\n=<\/th>\r\namount of gas trapped in the porous media per unit mass of water (molM-1<\/sup>, typically in ccSTP\/g, ccSTP\/kg, or mole\/kg)<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
A\u2019<\/em><\/td>\r\n=<\/td>\r\namount of excess air in units consistent with ci<\/sub><\/em> (e.g. molM-1<\/sup>, typically in ccSTP\/g, ccSTP\/kg, or mole\/kg)<\/td>\r\n<\/tr>\r\n
Age<\/em><\/td>\r\n=<\/td>\r\nelapsed time since groundwater recharge, i.e., exposure to atmosphere (T)<\/td>\r\n<\/tr>\r\n
[latex]{Age}_{\\min}[\/latex]<\/td>\r\n=<\/td>\r\nminimum age of the sample (T)<\/td>\r\n<\/tr>\r\n
C<\/em><\/td>\r\n=<\/td>\r\naqueous concentration (molM-1<\/sup>, typically in mole\/kg or TU for 3<\/sup>H)<\/td>\r\n<\/tr>\r\n
Co<\/sub><\/em><\/td>\r\n=<\/td>\r\nconcentration at an arbitrary time; a convenient choice is 1950 when the precipitation [latex]_{}^{3}H[\/latex] record begins after 1950. (molM-1<\/sup>, typically in mole\/kg or TU for 3<\/sup>H)<\/td>\r\n<\/tr>\r\n
[latex]C_{Ar}[\/latex]<\/td>\r\n=<\/td>\r\nconcentration of Ar in water (L3<\/sup>M-1<\/sup>, typically in ccSTP\/g)<\/td>\r\n<\/tr>\r\n
[latex]C_{background}[\/latex]<\/td>\r\n=<\/td>\r\n[latex]_{}^{3}H[\/latex] concentration in precipitation at the time the sample was collected (TU)<\/td>\r\n<\/tr>\r\n
[latex]c_{i}^{water}[\/latex]<\/td>\r\n=<\/td>\r\nconcentration of gas i<\/em> in the water phase (L3<\/sup>M-1<\/sup>, typically in ccSTP\/g)<\/td>\r\n<\/tr>\r\n
[latex]c_{i}[\/latex]<\/td>\r\n=<\/td>\r\nconcentration of gas i<\/em> in the water phase (L3<\/sup>M-1<\/sup>, typically in ccSTP\/g)<\/td>\r\n<\/tr>\r\n
[latex]C_{i,eq}[\/latex]<\/td>\r\n=<\/td>\r\nconcentration of air saturated water, ASW, (L3<\/sup>M-1<\/sup>, typically in ccSTP\/g or ccSTP\/kg)<\/td>\r\n<\/tr>\r\n
[latex]C_{i}^{gas}[\/latex]<\/td>\r\n=<\/td>\r\nconcentration of gas i<\/em> in the gas phase (moles\/L)<\/td>\r\n<\/tr>\r\n
Cm,i<\/sub><\/em><\/td>\r\n=<\/td>\r\nmeasured concentration of the i<\/em>th gas (moles\/L)<\/td>\r\n<\/tr>\r\n
[latex]C_{m,Ne}[\/latex]<\/td>\r\n=<\/td>\r\nmeasured concentration of dissolved [latex]Ne[\/latex] (ccSTP\/g)<\/td>\r\n<\/tr>\r\n
[latex]C_{meas}[\/latex]<\/td>\r\n=<\/td>\r\nsample concentration (L3<\/sup>M-1<\/sup>, typically in ccSTP\/g)<\/td>\r\n<\/tr>\r\n
[latex]C_{N_{2}}[\/latex]<\/td>\r\n=<\/td>\r\nconcentration of [latex]N_{2}[\/latex] in water (L3<\/sup>M-1<\/sup>, typically in ccSTP\/g)<\/td>\r\n<\/tr>\r\n
[latex]C_{O_{2}}[\/latex]<\/td>\r\n=<\/td>\r\nconcentration of [latex]O_{2}[\/latex] in water (L3<\/sup>M-1<\/sup>, typically in ccSTP\/g)<\/td>\r\n<\/tr>\r\n
cs,i<\/sub><\/em><\/td>\r\n=<\/td>\r\nsimulated concentration of the i<\/em>th gas (L3<\/sup>M-1<\/sup>, typically in ccSTP\/g or ccSTP\/kg)<\/td>\r\n<\/tr>\r\n
Csol,<\/sub><\/em>Ne<\/sub><\/td>\r\n=<\/td>\r\ntheoretical concentration of [latex]Ne[\/latex] in equilibrium with the atmosphere (L3<\/sup>M-1<\/sup>, typically in ccSTP\/g or ccSTP\/kg)<\/td>\r\n<\/tr>\r\n
\u2206t<\/em><\/td>\r\n=<\/td>\r\nsample time\u00a0\u2212<\/em>[latex]\\ C_{0}[\/latex] time (T)<\/td>\r\n<\/tr>\r\n
e<\/em><\/td>\r\n=<\/td>\r\ntemperature dependent vapor pressure of water (ML-1<\/sup>T-2<\/sup>, typically in atm or mmHg)<\/td>\r\n<\/tr>\r\n
e(T)<\/em><\/td>\r\n=<\/td>\r\nvapor pressure of water at temperature T<\/em> (ML-1<\/sup>T-2<\/sup>, typically in atm or mmHg)<\/td>\r\n<\/tr>\r\n
F<\/em><\/td>\r\n=<\/td>\r\nfractionation factor (dimensionless)<\/td>\r\n<\/tr>\r\n
[latex]_{}^{3}{He}_{atm}^{}[\/latex]<\/td>\r\n=<\/td>\r\n[latex]_{}^{3}{He}[\/latex] derived from atmospheric sources (L3<\/sup>M-1<\/sup>)<\/td>\r\n<\/tr>\r\n
[latex]_{}^{3}{He}_{EA}[\/latex]<\/td>\r\n=<\/td>\r\n[latex]_{}^{3}{He}[\/latex] derived from excess air (L3<\/sup>M-1<\/sup>)<\/td>\r\n<\/tr>\r\n
[latex]_{}^{3}{He}_{m}^{}[\/latex]<\/td>\r\n=<\/td>\r\n[latex]_{}^{3}{He}[\/latex] measured in the groundwater sample (L3<\/sup>M-1<\/sup>)<\/td>\r\n<\/tr>\r\n
[latex]_{}^{3}{He}_{sol}[\/latex]<\/td>\r\n=<\/td>\r\n[latex]_{}^{3}{He}[\/latex] concentration at solubility equilibrium with the atmosphere at recharge temperature and elevation (L3<\/sup>M-1<\/sup>)<\/td>\r\n<\/tr>\r\n
[latex]_{}^{3}{He}_{terr}^{}[\/latex]<\/td>\r\n=<\/td>\r\n[latex]_{}^{3}{He}[\/latex] from terrigenic sources, including crustal [latex]_{}^{3}{He}[\/latex] ([latex]_{}^{3}{He}[\/latex]crust<\/sub>) and mantle [latex]_{}^{3}{He}[\/latex] ([latex]_{}^{3}{He}[\/latex]man<\/sub>) (L3<\/sup>M-1<\/sup>)<\/td>\r\n<\/tr>\r\n
[latex]_{}^{4}{He}_{m}[\/latex]<\/td>\r\n=<\/td>\r\nMeasured concentration of [latex]_{}^{4}{He}[\/latex] (L3<\/sup>M-1<\/sup>)<\/td>\r\n<\/tr>\r\n
Kh<\/sub><\/em><\/td>\r\n=<\/td>\r\ntemperature- and salinity-dependent equilibrium constant (molM\u20112<\/sup>LT2<\/sup> typically in moles kg\u20111<\/sup>atm\u20111<\/sup>)<\/td>\r\n<\/tr>\r\n
[latex]K_{w,Ar}[\/latex]<\/td>\r\n=<\/td>\r\ndimensioned Henry Coefficient for [latex]Ar[\/latex] (molM\u20112<\/sup>LT2<\/sup>, typically in moles kg\u20111<\/sup>atm\u20111<\/sup>)<\/td>\r\n<\/tr>\r\n
[latex]K_{w,i}^{cc}[\/latex]<\/td>\r\n=<\/td>\r\ndimensionless Henry Coefficient for gas i<\/em> (dimensionless)<\/td>\r\n<\/tr>\r\n
[latex]K_{w,i}[\/latex]<\/td>\r\n=<\/td>\r\nHenry Coefficient for gas i<\/em> (molM\u20112<\/sup>LT2<\/sup>, typically in moles kg\u20111<\/sup>atm\u20111<\/sup>)<\/td>\r\n<\/tr>\r\n
[latex]K_{w,i}(T,S)[\/latex]<\/td>\r\n=<\/td>\r\nHenry Coefficient of gas i<\/em> at temperature T<\/em> and salinity S<\/em> (molM\u20112<\/sup>LT2<\/sup>, typically in moles kg\u20111<\/sup>atm\u20111<\/sup>)<\/td>\r\n<\/tr>\r\n
[latex]K_{w,N_{2}}[\/latex]<\/td>\r\n=<\/td>\r\ndimensioned Henry Coefficient for [latex]N_{2} [\/latex](molM\u20112<\/sup>LT2<\/sup>, typically in moles kg\u20111<\/sup>atm\u20111<\/sup>)<\/td>\r\n<\/tr>\r\n
[latex]K_{w,O_{2}}[\/latex]<\/td>\r\n=<\/td>\r\ndimensioned Henry Coefficient for [latex]O_{2}[\/latex](molM\u20112<\/sup>LT2<\/sup>, typically in moles kg\u20111<\/sup>atm\u20111<\/sup>)<\/td>\r\n<\/tr>\r\n
[latex]L_{vz}[\/latex]<\/td>\r\n=<\/td>\r\nvertical distance from land surface to the water table (L)<\/td>\r\n<\/tr>\r\n
[latex]\\lambda[\/latex]<\/td>\r\n=<\/td>\r\ntritium decay constant (T-1<\/sup>, 0.05626\u00a0yr\u20131<\/sup>)<\/td>\r\n<\/tr>\r\n
P<\/em><\/td>\r\n=<\/td>\r\natmospheric pressure (ML-1<\/sup>T-2<\/sup>, typically in atm)<\/td>\r\n<\/tr>\r\n
[latex]P_{0}[\/latex]<\/td>\r\n=<\/td>\r\npressure at elevation zero (ML-1<\/sup>T-2<\/sup>, 1 atm)<\/td>\r\n<\/tr>\r\n
[latex]p_{i}[\/latex]<\/td>\r\n=<\/td>\r\npartial pressure of gas i<\/em> in the gas phase (ML-1<\/sup>T-2<\/sup>, typically in atm)<\/td>\r\n<\/tr>\r\n
[latex]q[\/latex]<\/td>\r\n=<\/td>\r\nrecharge rate (LT-1<\/sup>, typically in mm\/yr)<\/td>\r\n<\/tr>\r\n
[latex]R_{m}[\/latex]<\/td>\r\n=<\/td>\r\nmeasured [latex]\\frac{_{}^{3}{He}}{_{}^{4}{He}}[\/latex] ratio; commonly referred to simply as [latex]R[\/latex], as in the notation [latex]\\frac{R}{R_{a}}[\/latex] (dimensionless)<\/td>\r\n<\/tr>\r\n
[latex]R_{terr}[\/latex]<\/td>\r\n=<\/td>\r\n[latex]\\frac{_{}^{3}{He}}{_{}^{4}{He}}[\/latex] ratio for terrigenic [latex]He[\/latex], given in Table\u00a04<\/span><\/a>, (dimensionless)<\/td>\r\n<\/tr>\r\n
S<\/em><\/td>\r\n=<\/td>\r\nsalinity of the sample (MM-1<\/sup>), often in part per thousand (1000 MM-1<\/sup>)<\/td>\r\n<\/tr>\r\n
[latex]\\sigma_{i}[\/latex]<\/td>\r\n=<\/td>\r\nmeasurement error of the i<\/em>th gas (L3<\/sup>M-1<\/sup>, typically in ccSTP\/kg)<\/td>\r\n<\/tr>\r\n
T<\/em><\/td>\r\n=<\/td>\r\ntemperature (typically in \u00b0C)<\/td>\r\n<\/tr>\r\n
t<\/em><\/td>\r\n=<\/td>\r\ntime of sampling (T)<\/td>\r\n<\/tr>\r\n
TDGP<\/em><\/td>\r\n=<\/td>\r\ntotal dissolved gas pressure (ML-1<\/sup>T-2<\/sup>)<\/td>\r\n<\/tr>\r\n
[latex]t_{vz}[\/latex]<\/td>\r\n=<\/td>\r\nvadose zone transport time (T)<\/td>\r\n<\/tr>\r\n
[latex]\\theta_{vz}[\/latex]<\/td>\r\n=<\/td>\r\nmobile water content (dimensionless)<\/td>\r\n<\/tr>\r\n
x<\/em><\/td>\r\n=<\/td>\r\ndry air mole fraction (dimensionless)<\/td>\r\n<\/tr>\r\n
[latex]x_{i}[\/latex]<\/td>\r\n=<\/td>\r\nfraction of gas i<\/em> (mixing ratio) in the dry atmosphere (dimensionless)<\/td>\r\n<\/tr>\r\n
[latex]Z[\/latex]<\/td>\r\n=<\/td>\r\nelevation (L)<\/td>\r\n<\/tr>\r\n
[latex]Z_{s}[\/latex]<\/td>\r\n=<\/td>\r\nscaling factor (dimensionless)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>","rendered":"

 <\/p>\n\n\n\n\n<\/colgroup>\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\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><\/th>\n=<\/th>\namount of gas trapped in the porous media per unit mass of water (molM-1<\/sup>, typically in ccSTP\/g, ccSTP\/kg, or mole\/kg)<\/th>\n<\/tr>\n<\/thead>\n
A\u2019<\/em><\/td>\n=<\/td>\namount of excess air in units consistent with ci<\/sub><\/em> (e.g. molM-1<\/sup>, typically in ccSTP\/g, ccSTP\/kg, or mole\/kg)<\/td>\n<\/tr>\n
Age<\/em><\/td>\n=<\/td>\nelapsed time since groundwater recharge, i.e., exposure to atmosphere (T)<\/td>\n<\/tr>\n
[latex]{Age}_{\\min}[\/latex]<\/td>\n=<\/td>\nminimum age of the sample (T)<\/td>\n<\/tr>\n
C<\/em><\/td>\n=<\/td>\naqueous concentration (molM-1<\/sup>, typically in mole\/kg or TU for 3<\/sup>H)<\/td>\n<\/tr>\n
Co<\/sub><\/em><\/td>\n=<\/td>\nconcentration at an arbitrary time; a convenient choice is 1950 when the precipitation [latex]_{}^{3}H[\/latex] record begins after 1950. (molM-1<\/sup>, typically in mole\/kg or TU for 3<\/sup>H)<\/td>\n<\/tr>\n
[latex]C_{Ar}[\/latex]<\/td>\n=<\/td>\nconcentration of Ar in water (L3<\/sup>M-1<\/sup>, typically in ccSTP\/g)<\/td>\n<\/tr>\n
[latex]C_{background}[\/latex]<\/td>\n=<\/td>\n[latex]_{}^{3}H[\/latex] concentration in precipitation at the time the sample was collected (TU)<\/td>\n<\/tr>\n
[latex]c_{i}^{water}[\/latex]<\/td>\n=<\/td>\nconcentration of gas i<\/em> in the water phase (L3<\/sup>M-1<\/sup>, typically in ccSTP\/g)<\/td>\n<\/tr>\n
[latex]c_{i}[\/latex]<\/td>\n=<\/td>\nconcentration of gas i<\/em> in the water phase (L3<\/sup>M-1<\/sup>, typically in ccSTP\/g)<\/td>\n<\/tr>\n
[latex]C_{i,eq}[\/latex]<\/td>\n=<\/td>\nconcentration of air saturated water, ASW, (L3<\/sup>M-1<\/sup>, typically in ccSTP\/g or ccSTP\/kg)<\/td>\n<\/tr>\n
[latex]C_{i}^{gas}[\/latex]<\/td>\n=<\/td>\nconcentration of gas i<\/em> in the gas phase (moles\/L)<\/td>\n<\/tr>\n
Cm,i<\/sub><\/em><\/td>\n=<\/td>\nmeasured concentration of the i<\/em>th gas (moles\/L)<\/td>\n<\/tr>\n
[latex]C_{m,Ne}[\/latex]<\/td>\n=<\/td>\nmeasured concentration of dissolved [latex]Ne[\/latex] (ccSTP\/g)<\/td>\n<\/tr>\n
[latex]C_{meas}[\/latex]<\/td>\n=<\/td>\nsample concentration (L3<\/sup>M-1<\/sup>, typically in ccSTP\/g)<\/td>\n<\/tr>\n
[latex]C_{N_{2}}[\/latex]<\/td>\n=<\/td>\nconcentration of [latex]N_{2}[\/latex] in water (L3<\/sup>M-1<\/sup>, typically in ccSTP\/g)<\/td>\n<\/tr>\n
[latex]C_{O_{2}}[\/latex]<\/td>\n=<\/td>\nconcentration of [latex]O_{2}[\/latex] in water (L3<\/sup>M-1<\/sup>, typically in ccSTP\/g)<\/td>\n<\/tr>\n
cs,i<\/sub><\/em><\/td>\n=<\/td>\nsimulated concentration of the i<\/em>th gas (L3<\/sup>M-1<\/sup>, typically in ccSTP\/g or ccSTP\/kg)<\/td>\n<\/tr>\n
Csol,<\/sub><\/em>Ne<\/sub><\/td>\n=<\/td>\ntheoretical concentration of [latex]Ne[\/latex] in equilibrium with the atmosphere (L3<\/sup>M-1<\/sup>, typically in ccSTP\/g or ccSTP\/kg)<\/td>\n<\/tr>\n
\u2206t<\/em><\/td>\n=<\/td>\nsample time\u00a0\u2212<\/em>[latex]\\ C_{0}[\/latex] time (T)<\/td>\n<\/tr>\n
e<\/em><\/td>\n=<\/td>\ntemperature dependent vapor pressure of water (ML-1<\/sup>T-2<\/sup>, typically in atm or mmHg)<\/td>\n<\/tr>\n
e(T)<\/em><\/td>\n=<\/td>\nvapor pressure of water at temperature T<\/em> (ML-1<\/sup>T-2<\/sup>, typically in atm or mmHg)<\/td>\n<\/tr>\n
F<\/em><\/td>\n=<\/td>\nfractionation factor (dimensionless)<\/td>\n<\/tr>\n
[latex]_{}^{3}{He}_{atm}^{}[\/latex]<\/td>\n=<\/td>\n[latex]_{}^{3}{He}[\/latex] derived from atmospheric sources (L3<\/sup>M-1<\/sup>)<\/td>\n<\/tr>\n
[latex]_{}^{3}{He}_{EA}[\/latex]<\/td>\n=<\/td>\n[latex]_{}^{3}{He}[\/latex] derived from excess air (L3<\/sup>M-1<\/sup>)<\/td>\n<\/tr>\n
[latex]_{}^{3}{He}_{m}^{}[\/latex]<\/td>\n=<\/td>\n[latex]_{}^{3}{He}[\/latex] measured in the groundwater sample (L3<\/sup>M-1<\/sup>)<\/td>\n<\/tr>\n
[latex]_{}^{3}{He}_{sol}[\/latex]<\/td>\n=<\/td>\n[latex]_{}^{3}{He}[\/latex] concentration at solubility equilibrium with the atmosphere at recharge temperature and elevation (L3<\/sup>M-1<\/sup>)<\/td>\n<\/tr>\n
[latex]_{}^{3}{He}_{terr}^{}[\/latex]<\/td>\n=<\/td>\n[latex]_{}^{3}{He}[\/latex] from terrigenic sources, including crustal [latex]_{}^{3}{He}[\/latex] ([latex]_{}^{3}{He}[\/latex]crust<\/sub>) and mantle [latex]_{}^{3}{He}[\/latex] ([latex]_{}^{3}{He}[\/latex]man<\/sub>) (L3<\/sup>M-1<\/sup>)<\/td>\n<\/tr>\n
[latex]_{}^{4}{He}_{m}[\/latex]<\/td>\n=<\/td>\nMeasured concentration of [latex]_{}^{4}{He}[\/latex] (L3<\/sup>M-1<\/sup>)<\/td>\n<\/tr>\n
Kh<\/sub><\/em><\/td>\n=<\/td>\ntemperature- and salinity-dependent equilibrium constant (molM\u20112<\/sup>LT2<\/sup> typically in moles kg\u20111<\/sup>atm\u20111<\/sup>)<\/td>\n<\/tr>\n
[latex]K_{w,Ar}[\/latex]<\/td>\n=<\/td>\ndimensioned Henry Coefficient for [latex]Ar[\/latex] (molM\u20112<\/sup>LT2<\/sup>, typically in moles kg\u20111<\/sup>atm\u20111<\/sup>)<\/td>\n<\/tr>\n
[latex]K_{w,i}^{cc}[\/latex]<\/td>\n=<\/td>\ndimensionless Henry Coefficient for gas i<\/em> (dimensionless)<\/td>\n<\/tr>\n
[latex]K_{w,i}[\/latex]<\/td>\n=<\/td>\nHenry Coefficient for gas i<\/em> (molM\u20112<\/sup>LT2<\/sup>, typically in moles kg\u20111<\/sup>atm\u20111<\/sup>)<\/td>\n<\/tr>\n
[latex]K_{w,i}(T,S)[\/latex]<\/td>\n=<\/td>\nHenry Coefficient of gas i<\/em> at temperature T<\/em> and salinity S<\/em> (molM\u20112<\/sup>LT2<\/sup>, typically in moles kg\u20111<\/sup>atm\u20111<\/sup>)<\/td>\n<\/tr>\n
[latex]K_{w,N_{2}}[\/latex]<\/td>\n=<\/td>\ndimensioned Henry Coefficient for [latex]N_{2}[\/latex](molM\u20112<\/sup>LT2<\/sup>, typically in moles kg\u20111<\/sup>atm\u20111<\/sup>)<\/td>\n<\/tr>\n
[latex]K_{w,O_{2}}[\/latex]<\/td>\n=<\/td>\ndimensioned Henry Coefficient for [latex]O_{2}[\/latex](molM\u20112<\/sup>LT2<\/sup>, typically in moles kg\u20111<\/sup>atm\u20111<\/sup>)<\/td>\n<\/tr>\n
[latex]L_{vz}[\/latex]<\/td>\n=<\/td>\nvertical distance from land surface to the water table (L)<\/td>\n<\/tr>\n
[latex]\\lambda[\/latex]<\/td>\n=<\/td>\ntritium decay constant (T-1<\/sup>, 0.05626\u00a0yr\u20131<\/sup>)<\/td>\n<\/tr>\n
P<\/em><\/td>\n=<\/td>\natmospheric pressure (ML-1<\/sup>T-2<\/sup>, typically in atm)<\/td>\n<\/tr>\n
[latex]P_{0}[\/latex]<\/td>\n=<\/td>\npressure at elevation zero (ML-1<\/sup>T-2<\/sup>, 1 atm)<\/td>\n<\/tr>\n
[latex]p_{i}[\/latex]<\/td>\n=<\/td>\npartial pressure of gas i<\/em> in the gas phase (ML-1<\/sup>T-2<\/sup>, typically in atm)<\/td>\n<\/tr>\n
[latex]q[\/latex]<\/td>\n=<\/td>\nrecharge rate (LT-1<\/sup>, typically in mm\/yr)<\/td>\n<\/tr>\n
[latex]R_{m}[\/latex]<\/td>\n=<\/td>\nmeasured [latex]\\frac{_{}^{3}{He}}{_{}^{4}{He}}[\/latex] ratio; commonly referred to simply as [latex]R[\/latex], as in the notation [latex]\\frac{R}{R_{a}}[\/latex] (dimensionless)<\/td>\n<\/tr>\n
[latex]R_{terr}[\/latex]<\/td>\n=<\/td>\n[latex]\\frac{_{}^{3}{He}}{_{}^{4}{He}}[\/latex] ratio for terrigenic [latex]He[\/latex], given in Table\u00a04<\/span><\/a>, (dimensionless)<\/td>\n<\/tr>\n
S<\/em><\/td>\n=<\/td>\nsalinity of the sample (MM-1<\/sup>), often in part per thousand (1000 MM-1<\/sup>)<\/td>\n<\/tr>\n
[latex]\\sigma_{i}[\/latex]<\/td>\n=<\/td>\nmeasurement error of the i<\/em>th gas (L3<\/sup>M-1<\/sup>, typically in ccSTP\/kg)<\/td>\n<\/tr>\n
T<\/em><\/td>\n=<\/td>\ntemperature (typically in \u00b0C)<\/td>\n<\/tr>\n
t<\/em><\/td>\n=<\/td>\ntime of sampling (T)<\/td>\n<\/tr>\n
TDGP<\/em><\/td>\n=<\/td>\ntotal dissolved gas pressure (ML-1<\/sup>T-2<\/sup>)<\/td>\n<\/tr>\n
[latex]t_{vz}[\/latex]<\/td>\n=<\/td>\nvadose zone transport time (T)<\/td>\n<\/tr>\n
[latex]\\theta_{vz}[\/latex]<\/td>\n=<\/td>\nmobile water content (dimensionless)<\/td>\n<\/tr>\n
x<\/em><\/td>\n=<\/td>\ndry air mole fraction (dimensionless)<\/td>\n<\/tr>\n
[latex]x_{i}[\/latex]<\/td>\n=<\/td>\nfraction of gas i<\/em> (mixing ratio) in the dry atmosphere (dimensionless)<\/td>\n<\/tr>\n
[latex]Z[\/latex]<\/td>\n=<\/td>\nelevation (L)<\/td>\n<\/tr>\n
[latex]Z_{s}[\/latex]<\/td>\n=<\/td>\nscaling factor (dimensionless)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"parent":0,"menu_order":12,"template":"","meta":{"pb_part_invisible":false,"pb_part_invisible_string":""},"contributor":[],"license":[],"class_list":["post-47","part","type-part","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/pressbooks\/v2\/parts\/47","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/pressbooks\/v2\/parts"}],"about":[{"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/wp\/v2\/types\/part"}],"version-history":[{"count":4,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/pressbooks\/v2\/parts\/47\/revisions"}],"predecessor-version":[{"id":426,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/pressbooks\/v2\/parts\/47\/revisions\/426"}],"wp:attachment":[{"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/wp\/v2\/media?parent=47"}],"wp:term":[{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/wp\/v2\/contributor?post=47"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/wp\/v2\/license?post=47"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}