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	$\alpha =1/5$	$\alpha =1/4$	$\alpha =1/3$
-	$d_m>2.5m$	$2.5m>d_m>1.5m$	$d_m<1.5m$
$d_m$	$\frac{0.728{(a.U_{\varphi })}^{10/3}}{{\left(1000S\right)}^{10/9}}$	$\frac{0.683{(a.U_{\varphi })}^4}{{\left(1000S\right)}^{4/3}}$	$\frac{0.565{(a.U_{\varphi })}^6}{{\left(1000S\right)}^{2/3}}$
$U$	$\frac{0.939{(a.U_{\varphi })}^{5/3}}{{\left(1000S\right)}^{2/9}}$	$\frac{0.909{(a.U_{\varphi })}^2}{{\left(1000S\right)}^{1/3}}$	$\frac{0.826{(a.U_{\varphi })}^3}{{\left(1000S\right)}^{2/3}}$
$q$	$\frac{0.686{(a.U_{\varphi })}^5}{{\left(1000S\right)}^{4/3}}$	$\frac{0.623{(a.U_{\varphi })}^6}{{\left(1000S\right)}^{5/3}}$	$\frac{0.471{(a.U_{\varphi })}^9}{{\left(1000S\right)}^{8/3}}$
$Q$	$\frac{7.39E^2{(a.U_{\varphi })}^{10}}{{\left(1000S\right)}^{3.067}}$	$\frac{6.11E^2{(a.U_{\varphi })}^{12}}{{\left(1000S\right)}^{3.733}}$	$\frac{3.45E^2{(a.U_{\varphi })}^{18}}{{\left(1000S\right)}^{5.733}}$
$S$	$\frac{0.00192E^{0.652}{(a.U_{\varphi })}^{3.261}}{Q^{0.326}}$	$\frac{0.00162E^{0.536}{(a.U_{\varphi })}^{3.214}}{Q^{0.268}}$	$\frac{0.00124E^{0.349}{(a.U_{\varphi })}^{3.14}}{Q^{0.174}}$
$U_{\varphi }$ 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	$\alpha =1/5$	$\alpha =1/4$	$\alpha =1/3$
-	$d_m>2.5m$	$2.5m>d_m>1.5m$	$d_m<1.5m$
$S$	$\frac{0.00192E^{0.652}{(a.U_{\varphi })}^{3.261}}{Q^{0.326}}$	$\frac{0.00162E^{0.536}{(a.U_{\varphi })}^{3.214}}{Q^{0.268}}$	$\frac{0.00124E^{0.349}{(a.U_{\varphi })}^{3.14}}{Q^{0.174}}$
$B$	$\frac{3.494E^{0.87}{Q}^{0.565}}{{(a.U_{\varphi })}^{0.652}}$	$\frac{3.613E^{0.893}{Q}^{0.554}}{{(a.U_{\varphi })}^{0.643}}$	$\frac{3.813E^{0.93}{Q}^{0.535}}{{(a.U_{\varphi })}^{0.628}}$
$q$	$\frac{{(a.U_{\varphi })}^{0.652}{Q}^{0.435}}{3.494E^{0.87}}$	$\frac{{(a.U_{\varphi })}^{0.643}{Q}^{0.446}}{3.613E^{0.893}}$	$\frac{{(a.U_{\varphi })}^{0.628}{Q}^{0.465}}{3.813E^{0.93}}$
$d_m$	$\frac{Q^{0.363}}{2.836E^{0.725}{(a.U_{\varphi })}^{0.29}}$	$\frac{Q^{0.357}}{2.794E^{0.714}{(a.U_{\varphi })}^{0.286}}$	$\frac{Q^{0.349}}{2.729E^{0.689}{(a.U_{\varphi })}^{0.279}}$

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

.

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

Para cauces estables cuando se conocen S, Q y E

.

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

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]