|
=3D velocidad de flujo=
=3D Radio hidráulico
=3D Pendiente del cauce
=3D Coeficiente de rugosidad<=
/span>
Para
esta investigación, se determinó emplear un coeficiente de rugosidad para el
cauce y otro para las llanuras de inundación. Por lo tanto, los n de Manning
utilizados en la modelación se obt=
uvieron
de referencias bibliográficas como Chow (1994) y son : 0.035 para el cauce y 0.06 para llanuras =
para
el caso de los dos programas de modelación. Para el caso de IBER se realizó=
un
mapa de uso de suelo en el software ARC-GIS.
Topografía:
Esta
investigación utilizó la topografía disponible del estudio realizado por la
Dirección de Gestión de Riesgos del GAD Municipal del Cantón Cuenca, en el =
año
2017; de la cual se determinó que el eje del cauce del río, en la zona de
estudio, es de aproximadamente 1200 m de longitud, cuyas cotas inicial y fi=
nal
son respectivamente de: 2558.00 msnm y 2552.00 msnm. La pendiente del río se
obtuvo entre la diferencia de la cota más alta y la más baja dividido para =
la
longitud horizontal entre estas cotas.
Modelación
En
primera instancia se realizó la actualización de la modelación del software
HEC-RAS, la misma que se describe a continuación.
Previo
al uso del programa HEC-RAS se trabajó
en el software ARC-GIS con la finalidad de obtener el modelo digital de
elevación basado en la información topográfica existente. Posterior a esto,=
y
con la herramienta HEC-GEO RAS del ArcGIS se obtuvieron las secciones
transversales que se exportaron al programa HEC-RAS. Se realizaron un total=
de
39 secciones, cada 30 m a lo largo del río Tarqui, cuyas coordenadas de ini=
cio
y fin respectivamente son: 718287.=
64,
9676732.91 y 719165.03, 9676990.59.
Luego,
ya en el HEC-RAS, y con la topografía incorporada en el programa se ingresó=
los
coeficientes de rugosidad (n de Manning) determinados; 0.06 para llanuras de
inundación y 0.035 para el cauce del río. El régimen con el que se modeló
corresponde a un régimen de flujo subcrítico. Posteriormente se incorporó l=
os
caudales de retorno de 50 y 100 años que fueron calculados de 103.4 mᶾ=
;/s
y 118.4 mᶾ/s respectivamente. Finalmente se realizó la corrida del
programa a la espera de resultados.
Por
su parte, la modelación en el software bidimensional IBER, constituyó en los
procesos explicados a continuación. Se incorporó la ortofoto y se exportó el
modelo digital de terreno. Luego se introdujeron los datos de entrada y sal=
ida
que son: condiciones de contorno, como el hidrograma triangular que se real=
izó
para una hora de crecida. Posteriormente, se colocó el mapa de rugosidad; e=
ste
mapa está basado en un mapa de uso de suelo; para su elaboración se tomó en
cuenta las tres rugosidades determinadas n=3D0.035 para el cauce del río, n=
=3D0.06
para la vegetación y n=3D 0.018 para las vías de hormigón. Más adelante, la
simulación hidráulica permitió asignar un tiempo de cálculo teniendo la opc=
ión
de “guardar” cada 45 segundos, para esta modelación se asignó un tiempo de =
3735
segundos. Finalmente, se realizó la corrida del programa.=
Resultados
Los
resultados de esta investigación están principalmente orientados a conocer,
tras la modelación en los softwares HEC-RAS e IBER, los valores de: elevaci=
ón
de agua, velocidades, manchas de inundación y con estos realizar el análisis
comparativo del modelamiento del río Tarqui, sector Guzho. El análisis
permitirá determinar que software es el más eficiente para la modelación.
Elevaciones
En
la
se observa las cotas de agua
generadas por los softwares de modelación para un periodo de retorno de 50
años. Como se mencionó en el apartado de “Modelación”, el cauce del río fue
dividido en 39 secciones transversales espaciadas cada 30 m, siendo la secc=
ión
39 (abscisa: 0+060.00) la correspondiente al tramo final de estudio y la
sección 1 (abscisa: 0+1200.00) el tramo inicial de estudio. En la sección 39
existe la mayor diferencia entre las cotas con un valor de 0.45 m, mientras
que, a lo largo del cauce las diferencias de los niveles de agua son simila=
res
alcanzando un valor promedio de 0.15 m.
Figura 2
Cotas de agua para un periodo de retorno de 50 años
Por su parte, la Figura 3 muestra las curvas de elevaciones de agua proporcionadas por los dos
softwares para un periodo de retorno de 100 años. La diferencia máxima entre
cotas de agua se produce igualmente en la sección 39 (abscisa: 0+060.00) y =
su
valor es de 0.49 m; a lo largo del cauce las alturas de agua son también
similares con valor promedio de 0.09 m.
Figura 3
Cotas de agua para un periodo de retorno de 100 añ=
os
Velocidades<=
/o:p>
Las
velocidades máximas generadas por los softwares de modelación para un perio=
do
de retorno de 50 años son: 3.81 m/=
s y
3.70 m/s para los programas HEC-RAS e IBER respectivamente (Ver Tabla 3).
Tabla
3
Velocidades
para un periodo de retorno de 50 años
|
Velocidad (m/s)
|
HEC-RAS
|
IBER
|
|
Máxima
|
3.81
|
3.70
|
|
Media
|
2.26
|
1.97
|
|
Mínima
|
0.91
|
1.08
|
Para un periodo de retorno de 100 años, las
velocidades obtenidas se muestran en la Tabla 4. Un valor de 4.55 m/s es la velocidad máxima dada por el programa I=
BER
en la sección correspondiente a la abscisa 0+390.00, frente a una velocidad
máxima de 4.46 m/s generada por el software HEC-RAS en el mismo punto.=
Tabla
4
Velocidades
para un periodo de retorno de 100 años
|
Velocidad (m/s)
|
HEC-RAS
|
IBER
|
|
Máxima
|
4.46
|
4.55
|
|
Media
|
2.02
|
2.13
|
|
Mínima
|
0.68
|
1.17
|
En relación al comportamiento de las velocidades de
agua en los dos periodos de retorno, a través de la información entregada p=
or
la Tabla 3 y Tabla 4, se deduce que para los 50 años de retorno existe una diferencia en=
tre
velocidades máximas de 0.11 m/s, siendo mayor la velocidad generada por
HEC-RAS. Por su parte, para los 100 años, hay una diferencia de velocidades
máximas de 0.09 m/s, siendo en este caso la velocidad generada por IBER.
Áreas de Inundación
Considerando
que uno de los objetivos y resultados de esta investigación es obtener las
manchas de inundación, este apartado presenta de forma gráfica las manchas =
de
agua en la zona de estudio para los diferentes periodos de retorno plantead=
os.
De esta manera, la Tabla 5 muestra un resumen de los valores de las áreas de inundación obteni=
dos
tras la modelación. <=
/span>
Tabla <=
/span>5
Resumen
de áreas de inundación para periodos de retorno de 50 y 100 años=
|
=
Tipo
de software
|
=
Área
de inundación (ha)
|
|
=
50
años
|
=
100
años
|
|
=
HEC-RAS
|
=
9,52
|
=
10,90
|
|
=
IBER
|
=
11,73
|
=
12,35
|
La mancha de inundación obtenida del software HEC-=
RAS
tiene un área total de 9,52 ha para un periodo de retorno de 50 años; por su
parte la del software IBER presenta un área total de 11,73 ha (Ver <=
!--[if supportFields]> REF _Ref91864545 \h \* MERGEFORMAT
Figura 4).
Figura 4
Área
de inundación. Periodo de retorno de 50 años. Izquierda: HEC-RAS, Derecha: =
IBER
Nota: Ortofoto
proporcionada por la Dirección de Gestión de Riesgos del Municipio de Cuenc=
a.
La
Figura 512,35 ha=
.
Figura 5
Área de inundación.
Periodo de retorno de 100 años. HEC-RAS
Nota: <=
span
style=3D'font-size:12.0pt;line-height:115%;color:windowtext;font-weight:nor=
mal'>Ortofoto
proporcionada por la Dirección de Gestión de Riesgos del Municipio de Cuenc=
a.
En relación a la diferencia resultante entre las á=
reas
correspondientes a los periodos de retorno de 50 años y 100 años, existe una
variación de aproximadamente de 1.45 ha en HEC-RAS y 0.62 ha en IBER. El ra=
ngo
de variación en IBER es mucho menor en relación con HEC-RAS, este hecho
confirma que al ser una modelación bidimensional se puede tener un mayor
alcance en los resultados, minimizando variaciones y acercándose a resultad=
os
más precisos
Discusión
La
obtención de mapas de inundación es una herramienta valiosa para la gestión=
de
inundaciones y la toma de decisiones en relación a medidas de prevención y
mitigación ante la posible ocurrencia de estos eventos. Lo mencionado es
ratificado por estudios de inundaciones en áreas de llanura; Borzi et al. (2020), describe la importancia de la obtención de mapas=
de
riesgos por inundación, puesto que estos permiten disminuir la vulnerabilid=
ad
de las personas afectadas por este evento y a tener una mejor planificación=
de
ordenamiento territorial. Así mismo, otra investigación realizada por Hutanu et al. (2020), concluye que el desarrollo de escenarios de
inundación es importante para obras de mitigación contra inundaciones. De a=
quí
la necesidad de contar con mapas de inundación actualizados del río Tarqui,
sector Guzho, considerada su zona más vulnerable.
Según Bladé (2005) en su tesis doctoral, un modelo unidimensional se
puede utilizar cuando la dirección del cauce es predominante, mientras cuan=
do
el cauce tiene curvas, cauces compuestos, confluencia de ríos se puede recu=
rrir
a una aproximación bidimensional. El tramo de estudio del río Tarqui, fue s=
imulado
por los dos modelos, el unidimensional y el bidimensional, dando los result=
ados
más confiables el modelo bidimensional IBER, lo que concuerda con la
declaración anterior, pues el Tarqui en este tramo comprende un cauce irreg=
ular
por las curvas pronunciadas que este presenta.
La visualización de flujo del tramo de estudio en =
el
software IBER es mejor que el programa HEC-RAS, ya que este simula desde la
entrada hasta la salida del agua en dos direcciones pedagógicamente es
conveniente; esto lo confirma un estudio llamado “The use of Iber as
learning tool for two-dimensional channel flow analysis” realizado por =
Huber et al. (2021), donde muestran el beneficio de utilizar IBER y es la visualización clara de fenómeno=
s de
flujo con cambios de direcciones.
En relación al comportamiento de las curvas de cot=
as
de agua en los dos periodos de retorno, a través de la
Figura 2 y la Figura 3, se observa que las curvas tienen un comportamiento bastante simila=
r.
Además, se puede apreciar que en mayor parte del cauce la resultante de la
modelación en IBER presenta cotas de agua ligeramente superiores respecto a
HEC-RAS tanto para los 50 como los 100 años de periodo de retorno. Es así q=
ue
para los niveles de agua alcanzados por HEC-RAS, para 50 años de periodo de
retorno, en el punto más alto y más bajo de la zona de estudio son de: 2559=
.75
msnm y 2554.13 msnm; en tanto que, para IBER son de: 2559.95 msnm y 2554.58
msnm. Por su parte, en el caso de los 100 años de periodo de retorno, la co=
ta
más alta y más baja en HEC-RAS está dada por: 2559.83 msnm y 2554.31 msnm; =
en
tanto que, para IBER son de: 2560.04 msnm y 2554.80 msnm. El análisis de es=
tas
alturas permite concluir que la diferencia de cotas para los diferentes
periodos de retorno no es altamente significativa, es decir, valores de 0.2=
0 m
y 0.45 para los 50 años de retorno; en tanto que para los 100 años se tiene=
0.21
m y 0.49 m (inicio y fin del área de estudio). Estos resultados son esperad=
os y
consecuentes, puesto que la diferencia de los caudales de modelación para l=
os
50 y 100 años de periodo de retorno es de apenas 15 m3/s (103.4 =
m3/s
y 118.4 m3/s). La similitud existente en los niveles de agua ent=
re
los dos programas se corrobora con lo expuesto por Pinos & Timbe (2019) en su estudio llamado “Performance assessment =
of
two-dimensional hydraulic models for generation of flood inundation maps in
mountain river basins” efectuado en el río Santa Bárbara, cantón Gualac=
eo,
provincia del Azuay. En esta investigación los autores evaluaron el desempe=
ño
de cuatro modelos hidráulicos bidimensionales (HEC-RAS 2D, IBER 2D, FLOOD
Modeller 2D y PCSWMM 2D), modelos cuyos resultados fueron comparados con lo=
s resultados
de HEC-RAS unidimensional, concluyendo que IBER 2D tiene el mejor desempeño=
en
la simulación del nivel de agua para inundaciones en los períodos de retorn=
o de
20 y 50 años.
Por
otro lado, en relación a las manchas de inundación la comparación entre sí,=
de
las manchas presentadas tanto en la
Figura 4 como en la
Figura 5 lleva a concluir que existe una considerable similitud en las manch=
as
generadas por los softwares para cada uno de los periodos de retorno
analizados. Esto es coincidente con lo referido por Freitez & Martinez (2017) en su investigación “Análisis comparativo entre l=
os
modelos HEC-RAS e IBER en la evaluación hidráulica de puentes”, donde los
autores observaron que el comportamiento de ambas modelaciones presentó
similitud en las manchas de inundación.
Si bien las manchas de inundación son similares, l=
os
resultados muestran que las áreas de inundación generadas por el software I=
BER
son mayores a las proporcionadas por HEC-RAS, tanto para los 50 como 100 añ=
os
de periodo de retorno. La diferencia entre las áreas de inundación es del 1=
8.8%
para los 50 años, en tanto que para los 100 años es del 11.7%. La razón de la diferencia radica en que=
al
final del cauce, IBER, genera una mayor área de inundación. Esto se debe
generalmente a que el modelo en este programa realiza la simulación en dos
direcciones es decir bidimensional y tiene un comportamiento más real. Que =
el
modelo IBER presente mayor área de inundación es confirmado por un estudio
realizado también en un río de montaña el cual se denomina “ Evaluación hidrológica e hidrá=
ulica
del río Tomebamba tramo Balzay – Monay mediante modelación matemática del f=
lujo
en uni y bidimensional” (Chimborazo, 2019). Esta investigación utiliza los softwares HEC-RAS=
e
IBER, para realizar modelos hidráulicos unidimensionales y bidimensionales =
con
diferentes períodos de inundación 25, 50 y 100 años, concluyendo que el mod=
elo
IBER tiene más área de inundación con respecto a HEC-RAS.=
Finalmente, en relación al tiempo de simulación, en
esta investigación el tiempo de simulación de los dos softwares es similar,=
sin
embargo, HEC-RAS realiza la corrida en un menor tiempo. Esto es acorde a lo
presentado en una investigación desarrollada en Perú, la cual efectúo la
comparación entre HEC-RAS e IBER en el modelamiento hidráulico de una poza
disipadora inclinada; los resultados muestran que el tiempo de simulación d=
el
programa HEC-RAS es menor que el del programa IBER (Espejo & Zabaleta, 2021).
Conclusiones<=
/o:p>
·&nb=
sp;
En este estudio se ha realizado una
evaluación de la modelación hidráulica del río Tarqui, sector Guzho, para e=
llo
se ha empleado el programa unidimensional HEC-RAS y bidimensional IBER. La
evaluación se basó en un análisis comparativo de las resultantes de niveles=
de
agua, velocidades y áreas de inundación.
·&nb=
sp;
En términos de niveles de superficie de agua, el
comportamiento de los perfiles en ambas modelaciones presentó gran similitu=
d e
IBER muestra valores superiores a HEC-RAS para los eventos de inundación de=
50
y 100 años. Se observa el mismo patrón para las áreas de inundación. Para el
caso de las velocidades y el periodo de retorno de 100 años IBER presenta
velocidades superiores.
·&nb=
sp;
Acorde al análisis comparativo se puede concluir q=
ue
el modelo bidimensional IBER representa una mejor alternativa para la
modelación, puesto que sus niveles de agua y el área de inundación es mayor
respecto a HEC-RAS, resultados que se los considera confiables y que
permitirían estar de lado de la seguridad en términos de gestión de
inundaciones y en el diseño y la construcción de posibles obras de prevenci=
ón y
mitigación. Además, el software IBER muestra la simulación del cauce para
diferentes tiempos, desde el tiempo de inicio de la inundación hasta el tér=
mino
de esta, lo que ayudaría a una mejor toma de decisiones. =
·&nb=
sp;
Por otro lado, en relación a la actualización del
modelo HEC-RAS realizado en el año 2017, esta investigación determinó un ár=
ea
mayor de inundación. Esto es producto de que los caudales de modelación para
los períodos de retorno de 50 años se vieron incrementados en 31.00 m3=
/s.
Este incremento se debe al evento que se produjo el mes de mayo de 2021, en=
el
que se registraron los caudales máximos horarios.
·&nb=
sp;
Considerando la actualización del modelo HEC-RAS a=
la
presente fecha y los resultados obtenidos tras la modelación en IBER, este
estudio recomienda actualizar la información que reposa en la base de datos=
de
las instituciones encargadas del manejo de estos datos, con el objetivo de
tener registros actuales para una mejor toma de decisiones.
·&nb=
sp;
Finalmente, con respecto a los programas se conclu=
ye
que las imágenes generadas en IBER, son mejores que las de HEC-RAS, ya que =
IBER
trabaja en diferentes direcciones. Los resultados generados en el software
HEC-RAS como altura de agua, velocidades se pueden desplegar directamente e=
n el
programa y por lo tanto visualizar mediante hojas. Los tiempos de simulación
para esta investigación son similares. Además, los dos softwares son de lib=
re
acceso es decir no tienen costo (dominio público), lo que es ventajoso para=
los
investigadores, académicos, profesionales, instituciones, pues permite el
rápido acceso a elaborar estudios de modelación hidráulica.
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Pinos, J., Timbe, L., & Orellana, D. (2017). <=
/span>Métodos para la evaluación del riesgo de inundación
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Tamiru, H., & Dinka, M. O. (2021). Application=
of
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2–14. https://doi.org/10.1016/j.ejrh.2021.100855
Telégrafo. (2017). Lluvia del domingo fue la más
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https://www2.eltelegrafo.com.ec/noticias/ecuador/1/lluvia-del-domingo-fue-l=
a-mas-fuerte-de-los-ultimos-8-anos-en-azuay-y-canar
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