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Varra Coal Ash Project <br /> Boron Calculation <br /> This spread sheet calculates the steady state concentration at a point of compliance <br /> well located at a distance (x) down-gradient of the source area. The calculations and <br /> methods are describe in ASTM-38 RBCA. <br /> Spread Sheet Calculations Enter <br /> Enter Porosity (sand 0.3, silt 0.35, clay 0.4) 0.27 <br /> Enter hydraulic gradient[ft/ft] 0.0023 <br /> Enter hydraulic conductivity [cm/s] 0.044 <br /> Enter first-order degradation constant 0 <br /> Enter distance (x) to point of compliance [ft] 50 <br /> Enter source width (perpendicular to flow in the horizonal plane) [ft] 100 <br /> Enter source width (perpendicular to flow in the vertical plane[ft] 7 <br /> Enter source area concentration (mg/L) 2.375 <br /> a,= longitudinal dispersivity[cm] = 0.10x= 610 cm <br /> ay=transverse dispersivity[cm]= a, 3 203.3333 cm <br /> a==vertical dispersivity[cm]=ct)20 30.5 cm <br /> Ground water velocity[cm/s] = 0.000375 cm/s <br /> Ist error function 1.368857 <br /> 2nd error fuction 0.247406 <br /> erf(rl)=error function of evaluated for 1st function = 0.952884 <br /> erf(rl)=error function of evaluated for 2nd function = 0.27382 <br /> Steady State Concentration(C(x) atr Point of Compliance=14,ra <br /> 1lr r 1l 619.68 uq/L <br /> C(x) = Coexpj X 1— 1+4�a"l� erf JJ erfS,�J2a. u J l x l L4 a=x ) <br /> erf(77) = 1 - expl 4rl J <br /> C (x) = dissolved phase concentration along centerline (x, y= 0, z=0) of dissolved plume [g/cm'-H201 <br /> C source = dissolved phase concentration in dissolved plume source area [g/cm'-H201 <br /> x=distance along center line from down-gradient edge of dissolved plume source (cm) <br /> a,= longitudinal dispersivity [cm] = 0.10x <br /> a,= first order degradation constant [d 1] <br /> u = Ki\� ground water velocity [cm/d] <br /> S„= source width (perpendicular to flow in the horizonal plane [cm] <br /> So= source width (perpendicular to flow in the vertical plane) [cm] <br /> ay= transverse dispersivity[cm]= ct)3 <br /> a==vertical dispersivity[cm] = %/20 <br /> erf(rl)=error function of evaluated for value 71 <br /> Revised on March 18, 1997 <br /> Page 1 <br />