地下水揚水量 井底が不透水層に達しない場合 井底と側壁から流入する場合,CALCULATION OF WATER VOLUME FLOWING IN WELL. CASE:UNCONFINED GROUNDWATER,H>0M,BOTTOM,SIDEWALL

Equation
Forchheimerの式
Q= \frac{\pi k}{2.3\log(R/r)}\frac{H^2-h^2}{(h/(t+0.5r))^{0.5}(h/(2h-t))^{0.25}}

Scilab
000179000179g01

-->deff('[Q]=f(R,r)','Q=%pi*k/100/(2.3*log10(R/r))*(H^2-h^2)/((h/(t+0.5*r))^0.5)/((h/(2*h-t))^0.25)');
-->//地下水揚水量:Q(m^3/sec)
-->k=10^-1;//透水係数(cm/sec)
-->H=30;//(m)
-->h=10;//(m)
-->t=4;//(m)
-->R=linspace(5,20);//(m)
-->r=linspace(0.5,3);//(m)
-->fplot3d(R,r,f)
-->f(5,3)
 ans  =
 
    4.10834  
-->f(20,0.5)
 ans  =
 
    0.5001010  

※SciNotes

deff('[Q]=f(R,r)','Q=%pi*k/100/(2.3*log10(R/r))*(H^2-h^2)/((h/(t+0.5*r))^0.5)/((h/(2*h-t))^0.25)');
//地下水揚水量:Q(m^3/sec)
k=10^-1;//透水係数(cm/sec)
H=30;//(m)
h=10;//(m)
t=4;//(m)
R=linspace(5,20);//(m)
r=linspace(0.5,3);//(m)
fplot3d(R,r,f)
f(5,3)
f(20,0.5)

キーワード
Water Volume Flowing in Well,Impermeable Layer,Groundwater Level,Well Bottom,Sidewall of well,Radius of Well,Hydraulic conductivity,Free groundwater,Unconfined groundwater,pump displacement,Darcy’s law,Forchheimer equation.

参考文献
川島普、篠原紀、西川泰治(1999).『新訂衛生工学』.明現社.184pp.

アプリケーション
Scilab http://www.scilab.org/