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5,605,634 <br />5 <br />Because the walls of the diffusion tube are not exactly <br />uniform (not uniform, that is to say, as regards the ratio of <br />amorphous to crystalline structure), the substance leaks out <br />more quickly through the more porous areas of the tube wall. <br />If the fluid is stagnant, a local volume of the fluid would then <br />become depleted—and the more permeable the local area of <br />the wall, the more the local volume of the fluid would be <br />depleted. The rate of diffusion being concentration -depen- <br />dent, that depletion would therefore slow down the ensuing <br />diffusion through that area of the wall. Therefore, the system <br />has at least a marginal capability to self -correct, and to keep <br />concentrations of the remedial substance constant within the <br />groundwater, even though wall -permeability may vary. The <br />capability arises provided the water is left, without moving, <br />for long periods. <br />Thus, although periodic circulation is important for main- <br />taining overall levels of concentration over a long time, the <br />periods of non -circulation are important also, because they <br />smooth out variations in concentration doe to variations in <br />wall -permeability. <br />As mentioned, many types of plastic tubing tend to allow <br />migration or diffusion of molecules through the wall of the <br />tubing, LDPE being well-suited in many cases. However, <br />LDPE tubing, as available commercially, may not always be <br />the same as to its crystalline structure, which is the factor <br />that mainly sets the diffusion coefficient. Wall thickness <br />variations also cannot be ignored. <br />The engineer should therefore carry out laboratory tests <br />on samples of the particular batch of tubing, in order to <br />determine the diffusion coefficient for that batch. Knowing <br />the diffusion coefficient, and knowing the extent, nature, and <br />concentration, of the contaminant in the groundwater, the <br />inground velocity of the groundwater, the positioning of the <br />boreholes, the nature of the remedial substance, and so on, <br />the engineer can compute what the concentration of the <br />remedial substance in its carrier fluid should be, and can set <br />up the fluid circulation means appropriately to maintain that <br />required concentration. <br />The engineer adjusts the concentration of the remedial <br />substance in its carrier fluid as the main agency by which the <br />flux rate of the remedial substance is finely and accurately <br />controlled. He can make gross adjustments to the flux rate by <br />selecting, as the diffusion tube, a tube with a different wall <br />thickness or diameter. Of course, a finer degree of control is <br />required for the diffusion flux rates than can be achieved <br />merely by altering wall thickness. <br />The prudent engineer should check the diffusion coeffi- <br />cient of each batch of LDPE tubing, because significant <br />variations can occur between batches. However, the coeffi- <br />cient, once determined, does not change with time. The <br />coefficient is simple enough to determine in a laboratory, <br />involving setting up the lengths of tubes, standardising the <br />conditions of entry concentration, circulation characteristics, <br />etc, and noting the exit concentration. <br />Although each diffusion tube . should be individually <br />tested, the testing is not onerous, and the number of diffusion <br />tubes per installation is not large, at least in the context of the <br />task of cleaning up a toxic plume moving through an aquifer. <br />If it is found that the diffusion tubes have reasonably <br />identical diffusion coefficients, they may all be fed from a <br />single circulation control unit, which would be adjusted to <br />supply the (single) concentration of remedial substance <br />appropriate to the average of the coefficients. In other cases, <br />it might be preferred to have a circulation control unit for <br />each diffusion tube, and to tailor the concentrations in each <br />tube of the remedial substance in its carrier fluid to cater for <br />6 <br />the variations in coefficient, whereby the same flux rate can <br />be maintained from each tube. <br />In some cases, it may be preferred, in fact, to vary the flux <br />rate from the various diffusion tubes. Many plumes are more <br />5 concentrated in the centre than at the edges, for example, and <br />the engineer may wish to tailor the flux rates tube to tube, <br />across the width of the plume, accordingly. <br />Equally, some plumes vary in concentration over the <br />vertical depth of the plume. In that case, the engineer may <br />to specify, for instance, that the portion of the diffusion tube <br />that will diffuse remedial substance into the topmost and <br />bottommost margins of the plume be of a thicker wall <br />thickness than the tubing which diffuses remedial substance <br />into the central band of the plume, where the contaminants <br />15 may be more concentrated. <br />The pipes and conduits which convey the remedial sub- <br />stance in its carrier fluid need not be all LDPE tubing, like <br />the diffusion tube. For example, the pipes may be of metal <br />tubing, through which no discernible diffusion can take <br />20 place.. <br />In order for circulation to take place, the engineer must <br />provide a down -tube and a return -tube. The engineer may <br />arrange that both the down -tube and the return -tube are both <br />diffusion tubes, of LDPE or other suitable plastic. Or, he <br />25 may arrange that only one of the tubes is a diffusion tube, <br />and the other tube is of metal. The entry end of the diffusion <br />tube would be located at the bottom of the diffusion tube if <br />the diffusion tube is the return tube. <br />It is possible for back -diffusion to take place. That is to <br />30 say, it can happen that molecules of groundwater lying <br />outside the diffusion tube can diffuse into the tube. However, <br />if this should occur, its effects on the dilution -concentration <br />of the remedial substance in its carrier fluid would be picked <br />up by the routine sampling, and the effects could be adjusted <br />35 for automatically. If the remedial substance is a gas, perhaps <br />it could not be ruled out that a small quantity of back - <br />diffusing water might collect on the inside of the diffusion <br />tube, but the volume of water thus collected would hardly be <br />significant enough to affect the performance of the system. <br />ao Thus, especially if a pressure differential is engineered <br />whereby the fluid on the inside of the diffusion tube is at a <br />higher pressure than the surrounding groundwater, back - <br />diffusion can largely be ignored. <br />One of the reasons back -diffusion can be ignored is that, <br />45 in the system as described, the ratio of diffusion area of the <br />tube to the volume of fluid contained in the tube is small. If <br />the diffusion tubes were small-bore, such that the area -to - <br />volume ratio were larger, then the phenomenon of back - <br />diffusion could start to become significant. In the example of <br />50 FIG. 1, the diffusion tube is LDPE of typically 32 mm <br />overall diameter, and 3.2 mm wall thickness. The preferred <br />range of tube diameters that may be suitable are 5 mm to 50 <br />mm diameter. <br />55 Back -diffusion, not just of the water, but of the contami- <br />nants in the groundwater can also occur sometimes <br />(although the type of contaminants that are hazardous in <br />small concentrations are often organic, such as chlorinated <br />hydrocarbon solvents, etc, the molecules of which are fairly <br />60 large, and are thus not so able to diffuse through plastic as <br />molecules of water). <br />FIG. 2 is a plan view of several of the boreholes 20, <br />arranged in a line across the path of the oncoming plume of <br />contaminant. The diffusion tubes 30 are mounted in the <br />65 boreholes in down -and -return pairs. <br />The boreholes comprise wells, typically of 25 cm diam- <br />eter. The boreholes contain groundwater, which flows <br />