The efficiency of curved jetties in Bay of Santos – SP: numerical modeling

Gireli, Tiago Zenker; Souza, Camila Maria Mateus Alves de; Nobre, Larissa Bertholdo; Garcia, Patrícia Dalsoglio

doi:10.1590/2318-0331.011716092

Tiago Zenker Gireli

Universidade Estadual de Campinas, Campinas, SP, Brazil

Camila Maria Mateus Alves de Souza

Universidade Estadual de Campinas, Campinas, SP, Brazil

Larissa Bertholdo Nobre

Universidade Estadual de Campinas, Campinas, SP, Brazil

Patrícia Dalsoglio Garcia

Universidade Estadual de Campinas, Campinas, SP, Brazil

E-mails: zenker@fec.unicamp.br (TZG), camila.mmas@gmail.com (CMMAS), lbertholdo@gmail.com (LBN), dgpatricia@gmail.com (PDG)

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Figure 1
Location of Port of Santos.

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Figure 2
Existing proposals of jetties for Port of Santos marine Sandbar transposition.

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Figure 3
Physical model of the Bay and Estuary of Santos and São Vicente with Gireli et al. (2010)GIRELI, T. Z.; RINKE, L. G.; ZANETTI, S. H. Estudo em modelo reduzido de molhes guia-corrente para o Porto de Santos – São Paulo – Brasil, 09/2012. In: CONGRESO LATINOAMERICANO DE HIDRÁULICA, 24., 2010, Punta Del Leste, Uruguai. ... AnaisPunta Del Leste: IAHR, 2010. v. 1, p. 1-10. proposed jetties. Source: Gireli et al. (2010)GIRELI, T. Z.; RINKE, L. G.; ZANETTI, S. H. Estudo em modelo reduzido de molhes guia-corrente para o Porto de Santos – São Paulo – Brasil, 09/2012. In: CONGRESO LATINOAMERICANO DE HIDRÁULICA, 24., 2010, Punta Del Leste, Uruguai. ... AnaisPunta Del Leste: IAHR, 2010. v. 1, p. 1-10..

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Figure 4
Bathymetric survey created to hydrodynamic modeling for Scenario 1.

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Figure 5
Bathymetric survey created to hydrodynamic modeling for Scenario 2.

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Figure 6
Bathymetric survey created to hydrodynamic modeling for Scenario 3.

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Figure 7
Tide Gauge positions. Green line (from Ilha das Palmas to Cosipa), Orange line (from Torre Grande to Base Aérea), purple line (from Ilha das Palmas to Casqueiro). Source: adapted from Sondotécnica (1977b)SONDOTÉCNICA. Comportamento hidráulico e sedimentológico do Estuário Santista. Brasília: Empresas de Portos do Brasil S.A. – Portobrás; Instituto de Pesquisas Hidroviárias – INPH, 1977b. Relatório Final – Desenhos..

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Figure 8
Position of the jetties and the observation points.

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Figure 9
Comparison of surface velocities for the scenarios to Point 1.

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Figure 10
Comparison of surface velocities for the scenarios to Point 2.

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Figure 11
Comparison of surface velocities for the scenarios to Point 3.

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Figure 12
Comparison of surface velocities for the scenarios to Point 4.

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Figure 13
Comparison of trajectory of drifters to the measurement points for Scenario 1.

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Figure 14
Comparison of trajectory of drifters to the measurement points for Scenario 2.

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Figure 15
Comparison of trajectory of drifters to the measurement points for Scenario 3.

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Figure 16
Discharge comparison between the three scenarios for SE-1.

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Figure 17
Discharge comparison between the three scenarios for SE-2.

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Figure 18
Maximum velocity difference map for flood tide condition comparing Scenario 2 with Scenario 1 (reference).

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Figure 19
Maximum velocity difference map for ebb tide condition comparing Scenario 2 with Scenario 1 (reference).

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Figure 21
Maximum velocity difference map for ebb tide condition comparing Scenario 3 with Scenario 1 (reference).

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Figure 20
Maximum velocity difference map for flood tide condition comparing Scenario 3 with Scenario 1 (reference).

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Table 1
Model calibration results.

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Table 2
Comparison of surface velocities for the four measurement points before and after the inclusion of the jetties in the physical model.

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Table 3
Fastest velocities comparison: Scenarios 1 and 2.

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Table 4
Fastest velocities comparison: Scenarios 1 and 3.

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Table 5
Physical and numerical modeling comparison.

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Table 6
Maximum discharge comparison for SE-1.

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Table 7
Maximum discharge comparison for SE-2.

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(1)

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(2)

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(3)

Tide gauge interval	Real data	Model data
Tide gauge interval	d (min)	M (m^1/3/s)	d (min)
Ilha das Palmas - Clube de Pesca	10	35	10
Clube de Pesca - Torre Grande	10	75	15
Torre Grande - Ilha de Barnabé	12	20	9
Ilha de Barnabé – Cosipa	18	25	21
Torre Grande - Base Aérea	10	40	12
Ilha das Palmas – Tumiarú	15	25	13
Tumiarú - Casqueiro	35	20	31

Method: micro-rotor / confetti		No Jetties	Jetties	Results
Point	Tide condition	Velocity (m/s)	Velocity (m/s)	speed increase (%)
1	1/2 F	0.78	1.03	32
1	1/2 E	0.97	0.93	-4
2	1/2 F	0.4	0.9	125
2	1/2 E	0.39	0.72	85
3	1/2 F	0.11	0.72	555
3	1/2 E	0.19	0.83	337
4	1/2 F	0.13	0.61	369
4	1/2 E	0.15	0.79	427

Point	Tide condition	Scenario 1	Scenario 2	Results
Point	Tide condition	Velocity (m/s)	Velocity (m/s)	Speed increase (%)
1	½ Flood	0.60	0.58	-3.3
1	½ Ebb	0.66	0.59	-10.6
2	½ Flood	0.37	0.74	100
2	½ Ebb	0.38	0.73	92
3	½ Flood	0.18	0.75	317
3	½ Ebb	0.20	0.74	270
4	½ Flood	0.15	0.84	460
4	½ Ebb	0.15	0.82	447

Point	Tide condition	Scenario 1	Scenario 3	Results
Point	Tide condition	Velocity (m/s)	Velocity (m/s)	Speed increase (%)
1	½ Flood	0.60	0.58	-3.3
1	½ Ebb	0.66	0.60	-9.1
2	½ Flood	0.37	0.63	70
2	½ Ebb	0.38	0.63	66
3	½ Flood	0.18	0.62	244
3	½ Ebb	0.20	0.62	210
4	½ Flood	0.15	0.70	367
4	½ Ebb	0.15	0.67	347

Point	Tide condition	Scenario 1			Scenario 2
		Velocity (m/s)		diff. (%)	Velocity (m/s)		diff. (%)
		P. M.	N. M.	diff. (%)	P. M.	N. M.	diff. (%)
1	½ Flood	0.78	0.6	-23%	1.03	0.58	-44%
1	½ Ebb	0.97	0.66	-32%	0.93	0.59	-37%
2	½ Flood	0.4	0.37	-8%	0.9	0.74	-18%
2	½ Ebb	0.39	0.38	-3%	0.72	0.73	1%
3	½ Flood	0.11	0.18	64%	0.72	0.75	4%
3	½ Ebb	0.19	0.2	5%	0.83	0.74	-11%
4	½ Flood	0.13	0.15	15%	0.61	0.84	38%
4	½ Ebb	0.15	0.15	0%	0.79	0.82	4%

SE-1	Maximum Discharge Flood (m³/s)	Diff. (%)	Maximum Discharge Ebb (m³/s)	Diff. (%)
Scenario 1	4,451.8	ref.	4,225.4	ref.
Scenario 2	4,196.4	-5,7%	4,051.7	-4.1%
Scenario 3	4,274.1	-4,0%	4,156.4	-1.6%

SE-2	Maximum Discharge Flood (m³/s)	Diff. (%)	Maximum Discharge Ebb (m³/s)	Diff. (%)
Scenario 1	3,994.2	ref.	3,713.5	ref.
Scenario 2	3,811.1	-4.6%	3,588.8	-3.4%
Scenario 3	3,884.1	-2.8%	3,681.9	-0.9%

\begin{array}{l} \frac{\partial p}{\partial t} + \frac{\partial}{\partial x} (\frac{p^{2}}{h}) + \frac{\partial}{\partial y} (\frac{p q}{h}) + g h \frac{\partial ζ}{\partial x} + \frac{g p \sqrt{p^{2} + q^{2}}}{C^{2} . h^{2}} - \\ \frac{1}{ρ_{w}} [\frac{\partial}{\partial x} (h τ_{x x}) + \frac{\partial}{\partial y} (h τ_{x y})] - Ω p - f V V_{x} + \frac{h}{ρ_{w}} \frac{\partial}{\partial x} (p_{a}) = 0 \end{array}

\frac{\partial q}{\partial t} + \frac{\partial}{\partial y} (\frac{q^{2}}{h}) + \frac{\partial}{\partial x} (\frac{p q}{h}) + g h \frac{\partial ζ}{\partial y} + \frac{g p \sqrt{p^{2} + q^{2}}}{C^{2} . h^{2}} - \frac{1}{ρ_{w}} [\begin{array}{l} \frac{\partial}{\partial y} (h τ_{y y}) + \\ \frac{\partial}{\partial x} (h τ_{x y}) \end{array}] + Ω p

[1] E-mails: zenker@fec.unicamp.br (TZG), camila.mmas@gmail.com (CMMAS), lbertholdo@gmail.com (LBN), dgpatricia@gmail.com (PDG)

Brasil

Brasil

The efficiency of curved jetties in Bay of Santos – SP: numerical modeling

A eficiência de molhes guia – corrente curvos na Baía de Santos – SP: modelação numérica

ABSTRACT