A linear graphical method for determining hydrodispersive characteristics in tracer experiments with instantaneous injection

Wang, H.Q.; Crampon, N.; Huberson, S.; Garnier, Jean‐Marie

doi:10.1016/0022-1694(87)90121-1

Cited by 41 publications

(11 citation statements)

References 5 publications

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“…4), the regression parabolic method (Wang et al 2001) is used in order to interpret the breakthrough data. Regression parabolic method (RPM) is a derivative as an extension of the linear graphical method (Wang et al 1987) to deal with problems involving three parameters. In our tracer tests, this method allows to determine at once the dispersion coefficient (D L ), the residence time (t c = L/u, where L is the column length) and the deposition rate coefficient (K dep ).…”

Section: Mathematical Modellingmentioning

confidence: 99%

Influence of Internal Structure and Medium Length on Transport and Deposition of Suspended Particles: A Laboratory Study

et al. 2008

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A laboratory study was undertaken on the transport and the deposition of suspended particles (silt of modal diametre 6 µm) in three columns of different length, filled with glass beads or gravel. Tracer tests were carried out at various flow velocities by short pulses of a mixture of suspended particles/dissolved tracer. The breakthrough curves were competently described with the analytical solution of a convection dispersion equation with a first-order deposition rate and the hydro-dispersive parameters were deduced. For the same experimental conditions, the results showed a difference in the behaviour of the suspended particles transport and deposition rates within the two porous media tested. The internal structure of both media governs the particle-grain collision frequency as well as the particles trapping. The scale effect was highlighted and affects the dispersivity, the size exclusion effect, the recovery rates and the deposition rates. Longitudinal dispersion increases with mean pore velocity and is described with a nonlinear relationship. The dispersivity increases with the column length. The size exclusion effect is more important in the short column. The recovery rate increases with flow velocity and decreases while increasing column length. The deposition rates increases until a critical flow velocity then decreases. This critical velocity is also sensitive to the scale effect, and increases with the column length.

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Section: Mathematical Modellingmentioning

confidence: 99%

Influence of Internal Structure and Medium Length on Transport and Deposition of Suspended Particles: A Laboratory Study

et al. 2008

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“…Robbins [1989] used a point source in saturated laboratory column experiments and determined transverse dispersion coefficients from the decrease of concentration along the assumed centerline of the plume. Wang et al [1987] proposed a linear graphical method for the estimation of dispersivities in which they compared the derivatives of the experimental breakthrough curve at an isolated nonaxial measurement point to analytical expressions obtained for instantaneous point source injection of a conservative tracer under steady state flow conditions.…”

Section: Existing Experimental Methods To Determine Transverse Dispermentioning

confidence: 99%

Experimental determination of transverse dispersivity in a helix and a cochlea

Benekos

Cirpka

Kitanidis

2006

Water Resources Research

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[1] In porous media, transverse dispersion plays a decisive role in the dilution of conservative solutes, the decay of concentration fluctuations, and the mixing of reactive solutes. One possible approach for measuring the transverse dispersivity of homogeneous isotropic porous media is based on the principle of Taylor-Aris dispersion, where the longitudinal macrodispersion coefficient is inversely proportional to the pore-scale transverse dispersion coefficient. Taylor-Aris dispersion requires a shear flow situation. To achieve the latter in porous media, we use a helix, as previously proposed, and also a cochlea, which is spiral-shaped cavity resembling the interior a nautilus shell. We obtain experimental breakthrough curves from conservative tracer experiments and compare them to results of numerical simulation. By fitting the model we obtain the values of transverse dispersivity in various tracer tests. In our experiments we investigate porous media with relatively uniform particle distributions. Estimates of the transverse dispersivity are obtained for each experiment, and the relative advantages of each device are discussed. The two devices yield similar results. The estimated ratio of transverse dispersivity to longitudinal dispersivity agrees with the higher ratios reported in the literature.

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“…If a large value of SEE and very poor reproduction of concentration especially for the data not considered in estimating the parameters are obtained, a non-ideal condition other than that assumed is confirmed. The estimates of Wang et al (1987) are b = 3.05 · 10 À3 , g = 0.37 for set 1 and b = 2.9 · 10 À3 , g = 0.362 for set 2. These estimates are based upon the consideration of all points, i.e., 17 and 21 for the set 1 and set 2, respectively.…”

Section: Application Simple Methodsmentioning

confidence: 99%

“…Simple methods for estimating dispersion coefficient have the advantages of quick estimation and on site applicability. Methods offering varying degree of simplicity are available (e.g., Ogata, 1958;Bear, 1972;Wang et al, 1987;Singh, 2002). Wang et al's (1987) method is a graphical one and requires manual smoothing of the BTC and computation of numerical derivatives, hence, involves subjectivity.…”

Section: Introductionmentioning

confidence: 99%

“…An estimate of the dispersion coefficient is generally obtained by analyzing breakthrough curve (BTC) observed during a tracer test with a known input concentration. The known input concentration is generally in the form of a unit step change (e.g., Krikham and Powers, 1972), or an instantaneous input (e.g., Wang et al, 1987) or a finite pulse in time domain (see VanGanucten and Alves, 1982). Simple methods for estimating dispersion coefficient have the advantages of quick estimation and on site applicability.…”

Section: Introductionmentioning

confidence: 99%

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Estimating dispersivity and injected mass from breakthrough curve due to instantaneous source

Singh

2006

Journal of Hydrology

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A linear graphical method for determining hydrodispersive characteristics in tracer experiments with instantaneous injection

Cited by 41 publications

References 5 publications

Influence of Internal Structure and Medium Length on Transport and Deposition of Suspended Particles: A Laboratory Study

Influence of Internal Structure and Medium Length on Transport and Deposition of Suspended Particles: A Laboratory Study

Experimental determination of transverse dispersivity in a helix and a cochlea

Estimating dispersivity and injected mass from breakthrough curve due to instantaneous source

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