Bubble-plume upwelling flows were studied in the marine environment through dye releases into engineered plumes and a natural hydrocarbon seep plume. For engineered plumes, these experiments measured the water column–averaged upwelling flow Vup(zo) from release depth zo to the sea surface, for a wide range of flows Q, and zo. From Vup(zo), the local upwelling flow Vup(z), where z is depth, was calculated and found to vary with Q as Vup(z) ∼ Q0.23 for plumes strong enough to penetrate a shallow, thermally stratified layer, which was in good agreement with published relationships between Vup(z) and Q. These data were used to interpret data collected at a natural marine seep. For the seep, the upwelling flow decelerated toward the sea surface in contrast to the engineered plumes, which accelerated toward the sea surface. Data showed the seep bubble-plume upwelling flow lifted significantly colder and more saline water. The increased density difference between this upwelling fluid and the surrounding fluid most likely caused the deceleration. Midwater-column bubble measurements showed downcurrent detrainment of smaller bubbles from the bubble plume.
It has proven difficult to describe the kinematics in irregular waves satisfactorily, in particular for the surface zone in broad-banded waves. A Lagrangian approach offers distinct advantages in this respect, eliminating the need for extrapolation of solutions or “stretching” of coordinates. This paper presents a model of irregular waves based on superposition of linear Lagrangian wave components, using an iterative method to obtain the Eulerian solution. This approach yields theoretically consistent results everywhere in the waves, and comparisons with wave flume measurements show good agreement. Also, the linear Lagrangian model includes wave interactions that would be nonlinear in an Eulerian formulation.
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