Assessment of dispersion mechanisms in rivers by means of an inverse problem approach

Figures & data

Figure 1. Region of interest location (adapted from Fundação CIDE, http://www.cide.rj.gov.br).

Figure 2. Schematic representation of the river. Notes: S_long.pos = Tracer longitudinal discharging position S_length = Tracer longitudinal discharging length S_trans.pos = Tracer transversal discharging position S_width = Tracer transversal discharging width.

Table 1. Adopted simulation input data.

Macaé River characteristics	Values
Mean width [m]	42.2
Mean depth [m]	0.71
Volumetric flow rate [m^3 s^−1]	6.0

Figure 3. Sensitivity coefficients for sampling at x = 3050 m and y = 2 m.

Figure 4. Sensitivity coefficients for sampling at x_meas = 3100 m and y_meas = 10 m.

Figure 5. Determinant of matrix X^TX for different experiments. [x] = m and [y] = m.

Table 2. Reference values for the experiment.

Designed experiment	Values
Tracer mass Mtracer [kg]	35.0
Tracer discharge longitudinal position Slong.pos. [m]	3000.0
Tracer discharge transversal position Strans.pos. [m]	2.0
Tracer length Slength [m]	5.0
Tracer width Swidth [m]	1.055
Longitudinal sampling position xmeas [m]	3050.0
Transversal sampling position ymeas [m]	2.0
Initial sampling time t0 [s]	60
Sampling interval Δt [s]	60
Final sampling time tf [s]	1800

Figure 6. Concentration measurements taken at x = 3050 m and y = 2 m.

Figure 7. E_L estimates for different runs using the designed experiment. [E_L] = m² s⁻¹.

Figure 8. E_T estimates for different runs using the designed experiment. [E_L] = m² s⁻¹.