HYDRAULIC STRUCTURES AND NUMERICAL MODELING


PREDICTING DISSOLVED GAS CONCENTRATIONS DOWNSTREAM OF A SPILLWAY

Joseph Orlins
Assistant Professor, Department of Civil Engineering, Rowan University
Formerly: Ph.D. Candidate and Doctoral Dissertation Fellow, St. Anthony Falls Laboratory, University of Minnesota

Researchers at St. Anthony Falls have been interested in aeration of flow at hydraulic structures for decades. The basic process is simple: as water flows over a weir or spillway (or a rapids or waterfall), atmospheric gasses (mainly nitrogen and oxygen) can dissolve into the water. Likewise, dissolved gasses in the water can come out of solution at these structures, in effect “de-gassing” the water. The direction and rate of the gas transfer depends on the amount of gas already dissolved in the water, the limiting (or saturation) concentration, the surface area for gas exchange, and the turbulence of the system.

The process has environmental importance along all of the rivers of the world. For example, if there is too little dissolved oxygen in a river, then aquatic life such as fish can die, and the river may have odor problems. At the other end of the spectrum, too much dissolved nitrogen can also be harmful to organisms such as fish. Thus, there is a range of dissolved gas concentrations that define an acceptable level of water quality.

One recent project involved a combination of numerical and physical models to predict the concentration of dissolved gasses downstream of a spillway. Researchers at St. Anthony Falls developed a two-dimensional computer program to calculate the dissolved gas concentrations for different flow conditions. Input to the numerical code included the flow field information, which was measured on a physical model of the spillway and stilling basin.

PROJECT BACKGROUND

Wanapum DamWanapum Dam is located on the Columbia River in east-central Washington State, with 12 spillway bays and ten hydroelectric generating units. The dam is owned and operated by Public Utility District No. 2 of Grant County, Washington. The dam owner has experienced elevated gas levels downstream of the spillways. In an effort to lower dissolved gas concentrations, the face of one spillway bay was modified to include a “flow deflector” in 1996. The purpose of the deflector is to prevent flow over the spillway from entering the deepest parts of the stilling basin. This prototype deflector was field tested in the summer of 1996, and was found to reduce the dissolved gas levels downstream of the spillway when compared with the original spillway design. When the dam owner decided to install a second prototype deflector for field testing in 1997, they were interested in the possibility of installing one with a different design that might provide better performance.

PHYSICAL MODELING

The hydraulic design of the new deflectors was aided by the use of physical model studies conducted at the Iowa Institute of Hydraulic Research (IIHR). A 1:21.5 scale model of three spillway bays was used to evaluate deflectors of differing sizes and placements on the spillway face. The physical model included the tainter gates, spillways, stilling basin, and a portion of the downstream river reach.

Unfortunately, a reduced-scale physical model can not simulate the entrainment of air into the stilling basin. While the mean flow fields can be well reproduced at a reduced scale, the distribution of air bubbles (including their size and quantity of air entrained) can not be accurately simulated. This implies that the air-water mass transfer (and thus concentration of dissolved gas downstream of the spillway) can not be determined directly from the physical model. However, information from the physical model can be used as input to a computational model which represents the turbulent mixing and air-water gas transfer, and can thus be used to predict dissolved gas concentrations for differing flow conditions.

NUMERICAL MODEL

Researchers at St. Anthony Falls developed a 2-dimensional computer model to calculate the concentration of dissolved gasses downstream of the Wanapum Dam spillways. The model developed required input of both hydrodynamic data and information about the distribution of air bubbles in the flow. Some of these parameters could be measured directly on the physical model, while others had to be calculated or estimated from visual observations.

The model was used to evaluate the performance of the existing spillway and three different spillway modifications for a range of operating conditions. The spillway modifications consist of deflectors of differing shapes, placed at a variety of elevations on the spillway face.

Deflector Alternatives

The computer model was used to calculate the dissolved gas concentrations downstream of the spillways for a variety of flows and water levels. A representative flow field (based on the physical model measurements) for one of the conditions evaluated is shown below.

The dissolved gas concentrations calculated as a function of distance downstream from the spillway and elevation. A representative concentration field is shown below.

Calculated Concentration Field

CONCLUSIONS

The computer model developed by SAFL researchers has been used to evaluated the effectiveness of different spillway design modifications at Wanapum Dam. Model input consists of hydrodynamic parameters and the distribution of air entrained in the flow, based upon measurements and observations on a physical model. While the physical model provides information regarding the acceptability of the hydraulics associated with the modifications, it cannot be used directly to assess the impacts on dissolved gas concentrations in the river. The combination of the physical and numerical models in the design process has allowed the selection of the design modifications with optimum hydraulics and gas concentrations. The actual performance of the design selected will be evaluated during field tests in the summer and fall of 1997.

FURTHER READING

Gulliver, J.S. [1991] "Introduction to air-water mass transfer," Air-Water Mass Transfer. Selected Papers from the Second International Symposium on Gas Transfer at Water Surfaces, S.C. Wilhelms and J.S. Gulliver, eds., ASCE, New York. pp. 1-7.

Mannheim, C.O.M. [1997] "A Unique Approach of Modeling Gas Supersaturation Using a Physical Model," MS Thesis, University of Iowa, Iowa City.

Orlins, J.J. and J.S. Gulliver [1997] "Prediction of Dissolved Gas Concentrations Downstream of a Spillway," Proceedings, XXVII IAHR Congress, San Francisco, CA. Pub. by ASCE, New York. pp. 524-529.

Orlins, J.J., and J.S. Gulliver [1997] "Modeling Dissolved Gas Concentrations Below Wanapum Dam Spillways," Consultant's Report for R.A. Elder and Public Utility District No. 2 of Grant County, WA, Minneapolis, MN.

Weber, L.J. and C.O.M. Mannheim [1997] "A Unique Approach of Modeling Gas Supersaturation Using a Physical Model," Proceedings, XXVII IAHR Congress, San Francisco, CA.  Pub. by ASCE, New York. pp. 518-523.

ACKNOWLEDGMENTS

The development and application of the studies described have been a collaborative effort involving many individuals and organizations. The author would like to acknowledge the guidance and direction of Steve Brown of Grant County PUD, Rex A. Elder, consulting hydraulic engineer and Duncan Hay of Hay and Company. The physical model studies at the Iowa Institute of Hydraulic Research were conducted under the supervision of Drs. Larry Weber and Jacob Odgaard. Field Measurements of TDG at Wanapum Dam used for calibrating the numerical model were collected under the direction of Don Weitkamp of Parametrix, Inc. The photo of Wanapum Dam at the top of this document is courtesy of Grant County PUD.


return to top of this page

back to Joe Orlins' home page


URL: http://sun00.rowan.edu/~orlins/wangas.htm last modified Monday, 6 September 1999.
(Links updated 28 Jan 02)

Please send your comments/suggestions regarding this web page to orlins@rowan.edu