Abstract: A method for determining the distribution of a proppant and associated slurry exiting perforations made in a casing, which is placed in a well, includes receiving settling data describing the proppant settling in the casing; receiving a slip parameter describing a casing velocity of the proppant relative to a perforation velocity of the proppant; calculating with a computing device, based on a constant proppant concentration model, (1) initial flow rates Q?(i) of the proppant through the perforations and (2) initial flow rates Q?case(i) of the proppant through the casing, wherein i is the number of perforations; and calculating with the computing device, based on (1) a variable proppant concentration model, (2) the settling data, (3) the slip parameter, (4) the initial flow rates Q?(i) of the proppant through the perforations, and (5) the initial flow rates Q?case(i) of the proppant through the casing, normalized flow rates Q?s(i) of the proppant through the perforations.

Abstract: An apparatus for bagging foodstuffs such as potatoes includes a carousel having a number of hopper recesses defined in a top surface and an electric motor and transmission assembly for rotatably moving the carousel. Each of the hoppers terminates in a chute for guiding the foodstuffs, and the carousel is vibrated in two separate directions in order to prevent the foodstuffs from becoming stuck. An automatic bag gripping mechanism is provided beneath each of the chutes, and is adapted to close when a bag is placed into position between its grippers when the carousel is in a first position. A control and interface unit continuously moves the carousel from the first position to a second loading position, and interfaces with a commercially available weighing machine to control the transfer of a load of foodstuffs from the weighing machine into one of the hoppers.