Anexo:Método de Altunin

El método de Altunin se utiliza para determinar los parámetros básicos de un cauce estable.

Fórmulas generales para cauces estables, según Altunin

Variables	$\alpha ={1/5}$	$\alpha ={1/4}$	$\alpha ={1/3}$
-	$d_{m}{>}2.5m$	${2.5}m{>}d_{m}{>}1.5m$	$d_{m}{<}1.5m$
$d_{m}$	${\frac {0.728\left(a.U_{\phi }\right)^{10/3}}{\left(1000S\right)^{10/9}}}$	${\frac {0.683\left(a.U_{\phi }\right)^{4}}{\left(1000S\right)^{4/3}}}$	${\frac {0.565\left(a.U_{\phi }\right)^{6}}{\left(1000S\right)^{2/3}}}$
$U$	${\frac {0.939\left(a.U_{\phi }\right)^{5/3}}{\left(1000S\right)^{2/9}}}$	${\frac {0.909\left(a.U_{\phi }\right)^{2}}{\left(1000S\right)^{1/3}}}$	${\frac {0.826\left(a.U_{\phi }\right)^{3}}{\left(1000S\right)^{2/3}}}$
$q$	${\frac {0.686\left(a.U_{\phi }\right)^{5}}{\left(1000S\right)^{4/3}}}$	${\frac {0.623\left(a.U_{\phi }\right)^{6}}{\left(1000S\right)^{5/3}}}$	${\frac {0.471\left(a.U_{\phi }\right)^{9}}{\left(1000S\right)^{8/3}}}$
$Q$	${\frac {7.39E^{2}\left(a.U_{\phi }\right)^{10}}{\left(1000S\right)^{3.067}}}$	${\frac {6.11E^{2}\left(a.U_{\phi }\right)^{12}}{\left(1000S\right)^{3.733}}}$	${\frac {3.45E^{2}\left(a.U_{\phi }\right)^{18}}{\left(1000S\right)^{5.733}}}$
$S$	${\frac {0.00192E^{0.652}\left(a.U_{\phi }\right)^{3.261}}{Q^{0.326}}}$	${\frac {0.00162E^{0.536}\left(a.U_{\phi }\right)^{3.214}}{Q^{0.268}}}$	${\frac {0.00124E^{0.349}\left(a.U_{\phi }\right)^{3.14}}{Q^{0.174}}}$
$U_{\phi }$ para $d_{m}=1.0m$	${\frac {6.81Q^{0.10}S^{0.307}}{a.E^{0.2}}}$	${\frac {7.40Q^{0.083}S^{0.312}}{a.E^{0.175}}}$	${\frac {8.43Q^{0.049}S^{0.317}}{a.E^{0.1}}}$

Fórmulas de diseño, según Altunin

Para cauces estables cuando se conocen Q, U_∅ y E

.

Variables	$\alpha ={1/5}$	$\alpha ={1/4}$	$\alpha ={1/3}$
-	$d_{m}{>}2.5m$	${2.5}m{>}d_{m}{>}1.5m$	$d_{m}{<}1.5m$
$S$	${\frac {0.00192E^{0.652}\left(a.U_{\phi }\right)^{3.261}}{Q^{0.326}}}$	${\frac {0.00162E^{0.536}\left(a.U_{\phi }\right)^{3.214}}{Q^{0.268}}}$	${\frac {0.00124E^{0.349}\left(a.U_{\phi }\right)^{3.14}}{Q^{0.174}}}$
$B$	${\frac {3.494E^{0.87}Q^{0.565}}{\left(a.U_{\phi }\right)^{0.652}}}$	${\frac {3.613E^{0.893}Q^{0.554}}{\left(a.U_{\phi }\right)^{0.643}}}$	${\frac {3.813E^{0.93}Q^{0.535}}{\left(a.U_{\phi }\right)^{0.628}}}$
$q$	${\frac {\left(a.U_{\phi }\right)^{0.652}Q^{0.435}}{3.494E^{0.87}}}$	${\frac {\left(a.U_{\phi }\right)^{0.643}Q^{0.446}}{3.613E^{0.893}}}$	${\frac {\left(a.U_{\phi }\right)^{0.628}Q^{0.465}}{3.813E^{0.93}}}$
$d_{m}$	${\frac {Q^{0.363}}{2.836E^{0.725}\left(a.U_{\phi }\right)^{0.29}}}$	${\frac {Q^{0.357}}{2.794E^{0.714}\left(a.U_{\phi }\right)^{0.286}}}$	${\frac {Q^{0.349}}{2.729E^{0.689}\left(a.U_{\phi }\right)^{0.279}}}$

Para cauces estables cuando se conocen S, U_∅ y E

.

Variables	$\alpha ={1/5}$	$\alpha ={1/4}$	$\alpha ={1/3}$
-	$d_{m}{>}2.5m$	${2.5}m{>}d_{m}{>}1.5m$	$d_{m}{<}1.5m$
$d_{m}$	${\frac {0.728\left(a.U_{\phi }\right)^{10/3}}{\left(1000S\right)^{10/9}}}$	${\frac {0.683\left(a.U_{\phi }\right)}{\left(1000S\right)^{4/3}}}$	${\frac {0.565\left(a.U_{\phi }\right)^{6}}{\left(1000S\right)^{2}}}$
$q$	$\left(a.U_{\phi }\right).{d_{m}}^{6/5}$	$\left(a.U_{\phi }\right).{d_{m}}^{5/4}$	$\left(a.U_{\phi }\right).{d_{m}}^{4/3}$
$B$	${\frac {E^{2}.q}{S^{0.4}}}$	${\frac {E^{2}.q}{S^{0.4}}}$	${\frac {E^{2}.q}{S^{0.4}}}$
$Q$	$q.B$	$q.B$	$q.B$

Para cauces estables cuando se conocen S, Q y E

.

Variables	$\alpha ={1/5}$	$\alpha ={1/4}$	$\alpha ={1/3}$
-	$d_{m}{>}2.5m$	${2.5}m{>}d_{m}{>}1.5m$	$d_{m}{<}1.5m$
$U_{\phi }$	${\frac {0.817.Q^{0.1}\left(1000.S\right)^{0.307}}{a.E^{0.2}}}$	${\frac {0.855.Q^{0.083}\left(1000.S\right)^{0.312}}{a.E^{0.176}}}$	${\frac {0.943.Q^{0.049}\left(1000.S\right)^{0.317}}{a.E^{0.1}}}$
$B$	${\frac {E.Q^{0.5}}{S^{0.2}}}$	${\frac {E.Q^{0.5}}{S^{0.2}}}$	${\frac {E.Q^{0.5}}{S^{0.2}}}$
$q$	${\frac {Q}{B}}$	${\frac {Q}{B}}$	${\frac {Q}{B}}$
$d_{m}$	$\left[{\frac {q}{a.U_{\phi }}}\right]^{5/6}$	$\left[{\frac {q}{a.U_{\phi }}}\right]^{4/5}$	$\left[{\frac {q}{a.U_{\phi }}}\right]^{3/4}$

Definición de las variables

La definición de cada variable se encuentra en el método de Altunin. Todos los coeficientes se refieren a valores en el sistema métrico.

Fuentes

• Maza Álvarez J.A., García Flores M. Estabiliad de Cauces - Manual de Ingeniería de Ríos (Cap. 12) [1]