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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] 200 <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] = a,/20 30.5 cm <br /> Ground water velocity[cm/s] = 0.000375 cm/s <br /> Ist error function 0.684429 <br /> 2nd error fuction 0.123703 <br /> erf(rl)=error function of evaluated for 1 st function = 0.670254 <br /> erf(r))=error function of evaluated for 2nd function = 0.138909 <br /> Steady State Concentration fC(x) atr Point of Complia <br /> nce= l r 1l 221.12 uq/L <br /> C(x) = Coexpj x I1— 1+4�a` � IerfL S,�za. u 4 ayx J 4 a�x <br /> erf(n) = I - expl ll � J <br /> C (x)= is ve p ase concentration a ong centerline (x, y=0, z=0) of dissolved plume[g/cm3-H2O] <br /> C source =dissolved phase concentration in dissolved plume source area [g/cm3-H20] <br /> x= distance along center line from down-gradient edge of dissolved plume source (cm) <br /> a,= longitudinal dispersivity [cm] =0.10x <br /> X= first order degradation constant[d-'] <br /> u = Ki\� ground water velocity[cm/d] <br /> S ,=source width (perpendicular to flow in the horizonal plane [cm] <br /> Sd= source width (perpendicular to flow in the vertical plane) [cm] <br /> ay=transverse dispersivity[cm]= a,/3 <br /> a,=vertical dispersivity[cm] = a,/20 <br /> erf(q)=error function of evaluated for value it <br /> Revised on March 18. 1997 <br /> Page t <br />