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LDEQ’s RECAP Domenico and Summer’s Models

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DOMENICO MODEL

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The Domenico groundwater model is used to calculate a dilution and attenuation factor (DF or DAF) associated with Soil GW2, Soil GW3, GW 2, and GW 3 values DF or DAF is the source concentration of a constituent divided by its down gradient concentration DF or DAF > 1 If DF or DAF = 1 then no dilution and/or attenuation Domenico Model

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MO-1 Domenico Model Soil GW2 & 3 and GW 2 & 3 Default assumptions: Equation accounts ONLY for dilution Plume is allowed to expand infinitely laterally in 2 directions vertically in 1 direction Planar plume size is based on S w is 1/2 acre site - 148 ft by 148 ft S d depths vary from 5 to 20 feet

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Two pieces of data are needed to determine a DF from the table: x - shortest downgradient distance from source to exposure point S d - vertical depth of plume MO-1 Domenico Model

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Determination of S d - vertical depth of plume METHOD 1: S d : depth of plume at initial conditions S d = h adv + h disp = advective flow + dispersive flow S d can not be greater than the aquifer thickness-B

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METHOD 1 cont. S d = h adv + h disp h adv = B[1-exp((-I*L)/(B*D v ) h disp = (2* z *L) (0.5) B: aquifer thickness = 10 ft I: infiltration rate = 0.33 ft/yr L: length of source = 148 ft D v : groundwater transport velocity = 30 ft/yr z : vertical dispersivity = L/200 = 148/200 S d = 1.5 + 14.8 = 16.3 > B Therefore, S d = 10 ft

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The thickness of the impacted permeable zone shall be used as the S d if the thickness of groundwater plume is unknown Determination of S d - vertical depth of plume METHOD 2:

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MO-1 DF Table Values given in tables in Appendix I X S d <5 6-10 11-15 16-20 0-50 1.5 1 1 1 51-100 2.6 1.5 1.2 1.1 101-150 4.1 2.1 1.6 1.3 151-250 8.4 4.3 3 2.3 251-500 29 15 9.8 7.4 501-750 63 32 21 16 751-1000 111 57 37 28 1001-1250 173 86 58 43 1251-1500 248124 83 62 1501-1750 337169113 84 1751-2000 440220147110

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If S d is greater than 20 feet then a site-specific DAF shall be calculated under MO-2 or MO-3 If the distance from the source is greater than 2000 feet, then: (1) the DF for 2000 feet may be used under MO-1; or (2) a site-specific DAF may be calculated under MO-2 or MO-3 MO-1 Domenico Model

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MO-2 Domenico Model Equation can account for dilution and attenuation Attenuation must be based on site-specific data (NO TEXT BOOK VALUES) Plume is allowed to expand infinitely in the 2 lateral directions Plume vertical depth is limited to the aquifer thickness and must be accounted for in the equation

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P. WJ1-1 & 2

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MO-2 Domenico Model cont. If the POE is within the boundary of plume use given form of equation - Fig. J-1 This means the “x” value, the distance from the source to the POE, is much less than the groundwater transport velocity multiplied by the time since the spill (x << v * t) If the POE is in front of plume x > v * t then equation must be modified and time t adjusted to account for maximum COC at point x (see model reference) This is a judgment call. Looking for maximum contaminant concentration at the point x.

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Summers Model

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The Summers model is used under MO-2 to calculate a site-specific dilution factor for a COC in soil water as it moves from the soil column into the adjacent groundwater (Appendix K) DF Summers = chemical concentration in soil leachate divided by the chemical concentration in the adjacent groundwater = C l / C si Under MO-1 a DF of 20 is used SUMMERS MODEL

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MO-2 Summers Model DAF Summers = C l / C si = (Q p + Q a ) / Q p = (I * S w * L + D v * S d * S w ) / (I * S w * L) = (0.33*148*148 + 30*10*148) / (0.33*148*148) = 7 Q p volumetric flow of infiltration into aquifer I: infiltration rate S w : width of impacted area perpendicular to GW flow direction L: length of impacted area parallel to GW flow direction Q a volumetric flow rate of groundwater D v : darcy GW velocity S d : thickness of GW plume

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Estimation of S d S d = Thickness of impacted groundwater within permeable zone Un-impacted groundwater 10’ 15’ Impacted groundwater 5’ S d = 5’

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Estimation of S d S d = Thickness of permeable zone if thickness is not known or if the zone is not impacted Un-impacted groundwater 10’ 15’ S d = 15’

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Soil Physics David Zumr room: b608 Lecture (and seminar) notes will be available: -

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