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 />
|