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1568

K. A. Magrini, et al.

ating temperature was from 190 to 208oC, dependent on available illumination. On-sun refers to turning the concentrating receiver into the sun, which initiates heating and photoreaction. Off-sun refers to turning the receiver away from the sun (photoreaction and heating stops). Inlet and outlet VOC concentrations, which matched closely when the reactor was off-sun, were taken to ensure that thermal reaction as the reactor cooled and adsorption of contaminants onto the catalyst surface were not significant. No attempt was made to decouple photoreaction from thermal reaction because of rapid temperature changes when the trough was rotated off-sun and the difficulty of thermally heating the catalyst.

The results of 3 weeks of testing demonstrated that the photothermal treatment system has destruction and removal efficiencies (DREs) in excess of 95% under conditions where incident UV irradiation provided operating temperatures from 150 to 200oC. No loss of performance of the catalyst occurred.

Significant results from these pilot-scale field tests:

A non-tracking, ambient-temperature, solar-powered photocatalytic reactor consistently achieved greater than 95% destruction of 10-15 ppmv TCE for 4 to 6 hours of operation per day during April at a latitude of 37°N. Catalyst performance remained constant during three weeks of testing.

95% destruction was achieved at 10 SCFM with UV intensities greater than 1.5 mW/cm2 and at 20 SCFM at UV intensities greater than 2.0 mW/cm2.

Greater than 95% destruction of a variable paint solvent stream (140 ppm total VOC) was achieved with a concentrating solar photoreactor operated with ambient sunlight at temperatures of 180-200oC. These operating temperatures were achievable for 4-8 hours of operation per day in July at a latitude of 39.5oN. Catalyst performance remained constant during three weeks of testing.

22.4.4 COMPARISON WITH OTHER TREATMENT SYSTEMS

The design and fabrication of the photocatalytic reactor system used in the McLellan field test was provided by NREL engineers and the Industrial Solar Technology Corporation (IST), Golden, CO. IST estimates that the cost for a 200-SCFM system is about $14,000.00, depending on the site requirements for hours of operation per day and the site solar potential. Costs to construct the reactors could be significantly reduced through economies of scale and large scale production likely could reduce reactor costs by half.21 Other purchased equipment costs for the photoreactor include a condenser/chiller and an instrumented blower/scrubber skid system for air handling. The level of instrumentation on the skid directly affects cost. The system described here was instrumented more than would be required for a commercial system. Equipment and installation costs for comparably sized carbon adsorption and thermal oxidation systems were calculated using EPAs HAPPRO v.2.1 software. Thus, total direct costs for the three systems are very close and range from an estimate of $131K for thermal oxidation, $119K for PCO, to $97K for carbon adsorption. Indirect costs were estimated using a factor of 0.28 x total purchased equipment cost. This value includes engineering, construction fee, and start-up costs. (Vatavuk, 1994) Total capital required for all three systems is approximately equal and ranges from $121K to $164K. Operating costs are also similar and range from $23 to $28K and total annual costs range from $37K for thermal oxidation to nearly equivalent values for carbon adsorption and PCO at $32K and $33K, respectively. No fuel is required for PCO and carbon adsorption. Details of the calculations are provided in the footnotes following Table 22.4.3.

22.4 Application of solar photocatalytic oxidation

1569

Table 22.4.3. Comparison of estimated costs for similarly sized PCO, carbon adsorption, and thermal oxidation VOC treatment systems

 

Solar PCO

Carbon Adsorp-

Thermal Oxida-

Direct Costs

non-concentrat-

tion

tion

 

ing

 

 

 

 

 

 

 

Purchased Equipment (PE)

 

 

 

Photoreactor1

 

 

 

Condenser/Chiller2

14,000

 

 

Instrumented

10,625

 

 

Blower/Scrubber Skid3

60,000

 

 

Total PE (TPE)4

91,395

74,5005

100,5005

Installation

27,419

22,350

30,150

 

 

 

 

Total Direct Costs

118,814

96,850

130,650

 

 

 

 

Indirect Costs

29,923

24,391

32,904

Indirect Installation Costs7

Total Capital Required8

148,736

121,241

163,554

Operating Costs9

 

 

 

Electricity

2,880

1,440

1,440

Fuel10

0

0

5,000

Maintenance, Labor and Material

20,376

19,308

20,952

 

 

 

 

Direct Annual Costs

23,256

25,748

27,392

Indirect Annual Costs

8,664

7,063

9,527

 

 

 

 

Total Annual Costs

31,920

32,811

36,919

 

 

 

 

Levelized Cost12

56,135

25,549

63,456

Levelized Cost/CFM

281

263

318

 

 

 

 

1IST Corp., Golden, CO. Non-concentrating reactor cost is current and estimated price reductions anticipated from economies of scale at higher production levels.

2Peters and Timmerhaus, 1991.

3Zentox Corp., Ocala, FL. Concentrating vs. non-concentrating is primarily a function of instrumentation level. 4Includes 0.08 x PE for taxes and freight (Vatavuk, 1994).

5Calculated using EPAs HAPPRO v.2.1 software.

60.38 x PE (Vatavuk, 1994).

70.28 x TPE, including engineering costs, construction fee, and start-up costs (Vatavuk, 1994) 8Includes 6% contingency.

9Based on $0.08/kWh, 10 kW blower and chiller costs. 10Based on $0.33/ccf natural gas.

110.06 x Total Capital Required for taxes, insurance, and administration. 12Based on 10% interest rate, 10 year depreciation.

REFERENCES

Ayer, J. and Darvin, C. H., 1995, “Cost Effective VOC Emission Control Strategies for Military, Aerospace, and Industrial Paint Spray Booth Operations: Combining Improved Ventilation Systems with Innovative, Low-Cost Emission Control Technologies”, Proceedings of the 88th Annual Meeting of the Air and Waste Management Association, Vol. 4B, 95-WA77A.02.

Blake, D.M., 1996, Bibliography of Work on the Heterogenous Photocatalytic Removal of Hazardous Compounds from Water and Air, Update Number 2 to October 1996. NREL/TP-430-22197. Golden, CO: National Renewable Energy Laboratory.

Bekbolet, M. and Balcioglu, I., 1996, Water Science and Technology, Vol. 34, No. 9, pp. 73-80.

1570 K. A. Magrini, et al.

Cummings, M. and Booth, S. R., Proc. Int. Conf. Incineration Therm.Treat. Technol. (1996), pp. 701-713. d’Hennezel, O. and Ollis D. F., 1997, Journal of Catalysis, Vol. 167, No. 1, pp. 118-126.

Evstropov, A. A., Belyankin, I. A., Krainov, N. V., Mikheeva, T. Ya., Kvasov, A. A., 1989, “Catalytic Combustion of Gas emissions from A Spray-Painting Chamber”, Lakokras. Mater. Ikh. Primen, Issue 1, pp. 115-118. Falconer, J. L. F. and Magrini-Bair, K. A., 1998, “Photocatalytic and Thermal Catalytic Oxidation of Acetaldehyde on Pt/TiO2", accepted for publication in the Journal of Catalysis.

Fan, J. and Yates, J. T., Journal of the American Chemical Society, Vol. 118, pp. 4686-4692.

Fu, X., Clark, L. A., Zeltner, W. A., Anderson, M. A., 1996, “Effects of Reaction Temperature and Water Vapor Content on the Heterogeneous Photocatalytic Oxidation of Ethylene”, Journal of Photochemistry and Photobiology A, Vol. 97, No. 3, pp. 181-186.

Fu, X. , Zeltner, W. A., and Anderson, M. A., 1995, Applied Catalysis B: Environmental, Vol. 6, pp. 209-224. Gratson, D.A.; Nimlos, M.R.; Wolfrum, E.J., 1995, Proceedings of the Air and Waste Management Association. Hung, C.-H. and Marinas, B. J. , 1997, Environmental Science and Technology, Vol. 31, pp. 1440-1445.

Jacoby, W.A.; Nimlos, M.R.; Blake, D.M.; Noble, R.D.; Koval, C.A., 1994, Environmental Science and Technology, Vol. 28, No. (9), pp. 1661-1668.

Kittrell, J. R., Quinlan, C. W., Shepanzyk, J. W., “Photocatalytic Destruction of Hexane Eliminates Emissions in Contact Lens Manufacture”, Emerging Solutions in VOC Air Toxics Control, Proc. Spec. Conf. (1996), pp. 389-398.

Larson, S. A. and Falconer J. L., 1997, Catalysis Letters, Vol. 44, No. 9, pp. 57-65. Luo, Y. and Ollis, D. F., 1996, Journal of Catalysis, Vol. 163, No. 1, pp. 1-11.

Magrini, K. A., Watt, A. S., Boyd, L. C., Wolfrum, E. J., Larson, S. A., Roth, C., and Glatzmaier, G. C., “Application of Solar Photocatalytic Oxidation to VOC-Containing Airstreams”, ASME Proceedings of the Renewable and Advanced Energy Systems for the 21st Century, pp. 81-90, Lahaina, Maui, April 1999.

Magrini, K. A., Rabago, R., Larson, S. A., and Turchi, C. S., “Control of Gaseous Solvent Emissions using Photocatalytic Oxidation”, Proc. Annu. Meet. Air Waste Manage. Assoc., 89th, (1996) pp. 1-8.

Mueller, J. H., (1988), “Spray Paint Booth VOC Control with a Regenerative Thermal Oxidizer”, Proceed- ings-APCA Annual Meeting 81st(5), Paper 88/84.3, 16 pp.

Nimlos, M. R., Jacoby, W. A., Blake, D. M. and Milne,T. A., 1993, Environmental Science and Technology, vol. 27, p. 732.

Peral, J. and Ollis, D.F., 1992, Journal of Catalysis, Vol. 136, pp. 554-565.

Phillips, L.A.; Raupp, G.B., 1992, Journal of Molecular Catalysis, Vol. 7, pp. 297-311.

Read, H. W., Fu, X., Clark, L. A., Anderson, M. A., Jarosch, T., 1996, “Field Trials of a TiO2 Pellet-Based Photocatalytic Reactor for Off-Gas Treatment at a Soil Vapor Extraction Well”, Journal of Soil Contamination, Vol. 5, No. 2, pp. 187-202.

Rosansky, S. H., Gavaskar, A. R., Kim, B. C., Drescher, E., Cummings, C. A., and Ong, S. K., “Innovative Air Stripping and Catalytic Oxidation Techniques for Treatment of Chlorinated Solvent Plumes”, Therm. Technol., Int. Conf., Rem. Chlorinated Recalcitrant Compounds., 1st (1998) pp. 415-424.

Sitkiewitz, S. and Heller, A., 1996, New Journal of Chemistry, Vol. 20, No. 2, pp. 233-241.

Turchi, C.S., Wolfrum, E., Miller, R.A., 1994, Gas-Phase Photocatalytic Oxidation: Cost Comparison with Other Air Pollution Control Technologies, NREL/TP-471-7014. Golden, CO: National Renewable Energy Laboratory. Watt, A. S., Magrini, K. A., Carlson-Boyd, L. C., Wolfrum, E. J., Larson, S. A., Roth, C., and Glatzmaier, G. C., “A Pilot-Scale Demonstration of an Innovative Treatment for Vapor Emissions”, J. of Air and Waste Management, November, 1999.

Yamazaki-Nishida, S., Fu, X., Anderson, M. A. and Hori, K., 1996, Journal of Photochemistry and Photobiology. A: Chemistry, Vol. 97, pp. 175-179.

23

Contamination Cleanup: Natural

Attenuation and Advanced

Remediation Technologies

23.1NATURAL ATTENUATION OF CHLORINATED SOLVENTS IN GROUND WATER

Hanadi S. Rifai

Civil and Environmental Engineering,

University of Houston, Houston, Texas, USA

Charles J. Newell

Groundwater Services, Inc., Houston, Texas, USA

Todd H. Wiedemeier

Parson Engineering Science, Denver, CO, USA

23.1.1 INTRODUCTION

Chlorinated solvents were first produced some 100 years ago and came into common usage in the 1940’s. Chlorinated solvents are excellent degreasing agents and they are nearly nonflammable and non-corrosive. These properties have resulted in their widespread use in many industrial processes such as cleaning and degreasing rockets, electronics and clothing (used as dry-cleaning agents). Chlorinated solvent compounds and their natural degradation or progeny products have become some of the most prevalent organic contaminants found in the shallow groundwater of the United States. The most commonly used chlorinated solvents are perchloroethene (PCE), trichloroethene (TCE), 1,1,1-trichloroethane (TCA), and carbon tetrachloride (CT).1

Chlorinated solvents (CS) undergo the same natural attenuation processes as many other ground water contaminants such as advection, dispersion, sorption, volatilization and biodegradation. In addition, CS are subject to abiotic reactions such as hydrolysis and dehydrohalogenation and abiotic reduction reactions. While many of the physical and chemical reactions affecting chlorinated solvents have been extensively studied, their biodegradation is not as well understood as perhaps it is for petroleum hydrocarbons. Researchers are just beginning to understand the microbial degradation of chlorinated solvents with many degradation pathways remaining to be discovered. Unlike petroleum hydrocarbons, which can be oxidized by microorganisms under either aerobic or anaerobic condi-

1572

Hanadi S. Rifai, Charles J. Newell, Todd H. Wiedemeier

tions, most chlorinated solvents are degraded only under specific ranges of oxidation-reduction potential. For example, it is currently believed that PCE is biologically degraded through use as a primary growth substrate only under strongly reducing anaerobic conditions.

This chapter is focused on the natural attenuation behavior of CS at the field scale. The first part of the chapter reviews many of the physical, chemical and abiotic natural attenuation processes that attenuate CS concentrations in ground water. Some of these processes have been described in more detail in previous chapters in the handbook and are therefore only reviewed in brief. In the second part of this chapter, we will review the biological processes that bring about the degradation of the most common chlorinated solvents, present conceptual models of chlorinated solvent plumes, and summarize data from field studies with chlorinated solvent contamination.

23.1.2NATURAL ATTENUATION PROCESSES AFFECTING CHLORINATED SOLVENT PLUMES

Many abiotic mechanisms affect the fate and transport of organic compounds dissolved in ground water. Physical processes include advection and dispersion while chemical processes include sorption, volatilization and hydrolysis. Advection transports chemicals along ground water flow paths and in general does not cause a reduction in contaminant mass or concentration. Dispersion or mixing effects, on the other hand, will reduce contaminant concentrations but will not cause a reduction in the total mass of chemicals in the aquifer. Sorption or partitioning between the aquifer matrix and the ground water, much like dispersion, will not cause a reduction in contaminant mass. Volatilization and hydrolysis both will result in lower concentrations of the contaminant in ground water. The majority of these processes, with the exception of hydrolysis and dehydrohalogenation chemical reactions, do not break down or destroy the contaminants in the subsurface.

Chlorinated solvents are advected, dispersed, and sorbed in ground water systems. They also volatilize although their different components have varying degrees of volatility. Chlorinated solvents additionally hydrolyze and undergo other chemical reactions such as dehydrohalogenation or elimination and oxidation and reduction. These abiotic reactions, as will be seen later in the chapter, are typically not complete and often result in the formation of an intermediate that may be at least as toxic as the original contaminant.

23.1.2.1 Advection

Advective transport is the transport of solutes by the bulk movement of ground water. Advection is the most important process driving dissolved contaminant migration in the subsurface and is given by:

v x

= −

K

 

dH

 

[23.1.1 ]

ne

dL

 

 

 

 

where:

 

 

 

 

 

 

 

Vx

 

seepage velocity [L/T]

 

Khydraulic conductivity [L/T]

ne

effective porosity [L3/L3]

dH/dL

hydraulic gradient [L/L]

23.1 Natural attenuation of chlorinated solvents

1573

Figure 23.1.1. Breakthrough curve in one dimension showing plug flow with continuous source resulting from advection only and from the combined processes of advection and hydrodynamic dispersion. [From T.H. Wiedemeier, H. S. Rifai, C. J. Newell and J.T. Wilson, Natural Attenuation of Fuels and Chlorinated Solvents in the Subsurface. Copyright © 1999 John Wiley & Sons. Reprinted by permission of John Wiley & Sons.]

Typical velocities range between 10-7 and 103 ft/day2 with a median national average of 0.24 ft/day. The seepage velocity is a key parameter in natural attenuation studies since it can be used to estimate the time of travel of the contaminant front:

t =

x

[23.1.2]

 

v x

where:

xtravel distance (ft or m)

ttime

Solute transport by advection alone yields a sharp solute concentration front as shown in Figure 23.1.1. In reality, the advancing front spreads out due to the processes of dispersion and diffusion as shown in Figure 23.1.1, and is retarded by sorption (Figure 23.1.2) and biodegradation.

Figure 23.1.2. Breakthrough curve in one dimension showing plug flow with continuous source resulting from advection only; from the combined processes of advection and hydrodynamic dispersion; and from the combined processes of advection, hydrodynamic dispersion, and sorption. [From T.H. Wiedemeier, H. S. Rifai, C. J. Newell and J.T. Wilson, Natural Attenuation of Fuels and Chlorinated Solvents in the Subsurface. Copyright © 1999

John Wiley & Sons, Inc. Reprinted by permission of John Wiley & Sons, Inc.]

23.1.2.2 Dispersion

Hydrodynamic dispersion causes a contaminant plume to spread out from the main direction of ground water flow. Dispersion dilutes the concentrations of the contaminant, and introduces the contaminant into relatively pristine portions of the aquifer where it mixes with more electron acceptors crossgradient to the direction of ground-water flow. As a result of

1574

Hanadi S. Rifai, Charles J. Newell, Todd H. Wiedemeier

dispersion, the solute front travels at a rate that is faster than would be predicted based solely on the average linear velocity of the ground water. Figure 23.1.1 illustrates the effects of hydrodynamic dispersion on an advancing solute front. Mechanical dispersion is commonly represented by the relationship:

Mechanical Dispersion = αxvx

 

 

[23.1.3]

where:

 

 

 

 

vx

average linear ground-water velocity [L/T]

 

 

αx

dispersivity [L]

 

 

 

 

 

Dispersivity represents the spreading

 

 

of a contaminant over a given length of

 

 

flow and is characteristic of the porous me-

 

 

dium through which the contaminant mi-

 

 

grates. It is commonly accepted that

 

 

dispersivity is scale-dependent, and that at a

 

 

given scale, dispersivity may vary over

 

 

three orders of magnitude3,4 as shown in

 

 

Figure 23.1.3.

 

 

 

Several approaches can be used to es-

 

 

timate longitudinal dispersivity, α x , at the

 

 

field scale. One technique involves con-

 

 

ducting a tracer test but this method is time

 

 

consuming and costly. Another method

 

 

commonly used in solute transport model-

 

 

ing is to start with a longitudinal

Figure 23.1.3. Relationship between dispersivity and

dispersivity of 0.1 times the plume

scale. [From T.H. Wiedemeier, H. S. Rifai, C. J. Newell

lengths.5-7 This assumes that dispersivity

and J.T. Wilson, Natural Attenuation of Fuels and

varies linearly with scale. Xu and Eckstein8

Chlorinated Solvents in the Subsurface. Copyright ©

proposed

an

alternative approach. They

1999 John Wiley & Sons, Inc. Reprinted by permission of

evaluated

the

same data presented by

John Wiley & Sons, Inc.]

Gelhar et al.4 and, by using a weighted least-squares method, developed the following relationship for estimating dispersivity:

αx = 0.83(log10 Lp )2. 414

[23.1.4]

where:

 

 

αx

longitudinal dispersivity [L]

 

Lp

plume length [L]

 

Both relationships are shown on Figure 23.1.3.

In addition to estimating longitudinal dispersivity, it may be necessary to estimate the transverse and vertical dispersivities (αT and αZ, respectively) for a given site. Commonly, αT is estimated as 0.1αx (based on data4), or as 0.33αx.9,10 Vertical dispersivity (αZ) may be estimated as 0.05αx,9 or as 0.025 to 0.1αx.10

23.1.2.3 Sorption

Many organic contaminants, including chlorinated solvents, are removed from solution by sorption onto the aquifer matrix. Sorption of dissolved contamination onto the aquifer ma-

23.1 Natural attenuation of chlorinated solvents

1575

trix results in slowing (retardation) of the contaminant relative to the average advective ground-water flow velocity and a reduction in dissolved organic concentrations in ground water. Sorption can also influence the relative importance of volatilization and biodegradation.11 Figure 23.1.2 illustrates the effects of sorption on an advancing solute front. Sorption is a reversible reaction; at given solute concentrations, some portion of the solute is partitioning to the aquifer matrix and some portion is also desorbing, and reentering solution.

Sorption can be determined from bench-scale experiments. These are typically performed by mixing water-contaminant solutions of various concentrations with aquifer materials containing various amounts of organic carbon and clay minerals. The solutions are then sealed with no headspace and left until equilibrium between the various phases is reached. The amount of contaminant left in solution is then measured.

The results are commonly expressed in the form of a sorption isotherm or a plot of the concentration of chemical sorbed (µg/g) versus the concentration remaining in solution (µg/L). Sorption isotherms generally exhibit one of three characteristic shapes depending on the sorption mechanism. These isotherms are referred to as the Langmuir isotherm, the Freundlich isotherm, and the linear isotherm (a special case of the Freundlich isotherm). The reader is referred to ref. 1 for more details on sorption isotherms.

Since sorption tends to slow the transport velocity of contaminants dissolved in ground water, the contaminant is said to be “retarded.” The coefficient of retardation, R, is defined as:

R =

v x

[23.1.5]

 

v c

where:

Rcoefficient of retardation

vx

average linear ground-water velocity parallel to ground-water flow

vc

average velocity of contaminant parallel to ground-water flow

The ratio vx/vc describes the relative velocity between the ground water and the dissolved contaminant. The coefficient of retardation for a dissolved contaminant (for saturated flow) assuming linear sorption is determined from the distribution coefficient using the relationship:

R = 1+

ρ bKd

[23.1.6]

N

 

 

where:

Rcoefficient of retardation [dimensionless]

ρb

bulk density of aquifer [M/L3]

Kd

distribution coefficient [L3/M]

Nporosity [L3/L3]

The bulk density, ρb, of a soil is the ratio of the soil mass to its field volume. In sandy soils, ρb can be as high as 1.81 g/cm3, whereas, in aggregated loams and clayey soils, ρb can be as low as 1.1 g/cm3.

The distribution coefficient is a measure of the sorption/desorption potential and characterizes the tendency of an organic compound to be sorbed to the aquifer matrix. The

1576

Hanadi S. Rifai, Charles J. Newell, Todd H. Wiedemeier

higher the distribution coefficient, the greater the potential for sorption to the aquifer matrix. The distribution coefficient, Kd, is given by:

Kd =

Ca

[23.1.7]

Cl

 

 

where:

Kd

distribution coefficient (slope of the sorption isotherm, mL/g).

Ca

a sorbed concentration (mass contaminant/mass soil or g/g)

Cl

dissolved concentration (mass contaminant/volume solution or g/mL)

Several researchers have found that if the distribution coefficient is normalized relative to the aquifer matrix total organic carbon content, much of the variation in observed Kd values between different soils is eliminated.12-19 Distribution coefficients normalized to total organic carbon content are expressed as Koc. The following equation gives the expression relating Kd to Koc:

Koc =

Kd

[23.1.8]

foc

 

 

where:

Koc

soil sorption coefficient normalized for total organic carbon content

Kd

distribution coefficient

foc

fraction total organic carbon (mg organic carbon/mg soil)

Table 23.1.1 presents calculated retardation factors for several LNAPL and DNAPL related chemicals as a function of the fraction of organic carbon content of the soil. It can be seen from Table 23.1.1 that R can vary over two orders of magnitude at a site depending on the chemical in question and the estimated value of porosity and soil bulk density.

Table 23.1.1. Calculated retardation factors for several chlorinated solvent-related chemicals

Compound

log(Koc)

Fraction of organic compound in aquifer (foc)

 

 

 

 

0.0001

0.001

0.01

0.1

 

 

 

 

 

 

 

 

Carbon tetrachloride

2.67

1.2

3.3

24.0

231.2

 

 

 

 

 

 

1,1,1-TCA

2.45

1.1

2.4

14.9

139.7

 

 

 

 

 

 

PCE

2.42

1.1

2.3

13.9

130.4

 

 

 

 

 

 

1,1- or 1,2-DCA

1.76

1.0

1.3

3.8

29.3

 

 

 

 

 

 

trans 1,2-DCE

1.42

1.0

1.1

2.3

13.9

 

 

 

 

 

 

cis 1,2-DCE

1.38

1.0

1.1

2.2

12.8

 

 

 

 

 

 

TCE

1.26

1.0

1.1

1.9

10.0

 

 

 

 

 

 

Chloroethane

1.25

1.0

1.1

1.9

9.8

 

 

 

 

 

 

Dichloromethane

1.23

1.0

1.1

1.8

9.4

 

 

 

 

 

 

Vinyl chloride

0.06

1.0

1.0

1.1

1.6

 

 

 

 

 

 

Notes: Units of foc: g naturally-occurring organic carbon per g dry soil. Assumed porosity and bulk density: 0.35 and 1.72, respectively. [From T.H. Wiedemeier, H. S. Rifai, C. J. Newell and J.T. Wilson, Natural Attenuation of Fuels and Chlorinated Solvents in the Subsurface. Copyright © 1999 John Wiley & Sons, Inc. Reprinted by permission of John Wiley & Sons, Inc.]

23.1 Natural attenuation of chlorinated solvents

1577

23.1.2.4 One-dimensional advection-dispersion equation with retardation

In one dimension, the advection-dispersion equation is given by:

 

R

C

= D

 

2 C

v

 

C

 

[23.1.9]

 

 

x x

 

t

x x 2

 

where:

 

 

 

 

 

 

 

 

 

 

vx

 

average linear ground-water velocity [L/T]

 

Rcoefficient of retardation [dimensionless]

Ccontaminant concentration [M/L3]

Dx

hydrodynamic dispersion [L2/T]

Ttime [T]

xdistance along flow path [L]

23.1.2.5Dilution (recharge)

Ground water recharge can be defined as the entry into the saturated zone of water made available at the water-table surface.20 Recharge may therefore include precipitation that infiltrates through the vadose zone and water entering the ground-water system due to discharge from surface water bodies (i.e., streams and lakes). Recharge of a water table aquifer has two effects on the natural attenuation of a dissolved contaminant plume. Additional water entering the system due to infiltration of precipitation or from surface water will contribute to dilution of the plume, and the influx of relatively fresh, electron acceptor-charged water will alter geochemical processes and in some cases facilitate additional biodegradation.

Wiedemeier et al.1 present the following relationship for estimating the amount of dilution caused by recharge:

 

 

RW

L

 

 

 

 

 

 

 

 

C

= C exp

VD

 

 

WThV

 

L

o

 

 

 

 

 

 

 

 

 

 

 

 

D

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

eliminating the width and rearranging, gives:

 

 

 

RL

 

C = C exp

 

 

Th(V )2

L o

 

 

 

 

 

 

D

 

[23.1.10]

[23.1.11]

where:

CL

concentration at distance L from origin assuming complete mixing of recharge with

 

groundwater (mg/L)

Co

concentration at origin or at distance L = 0 (mg/L)

Rrecharge mixing with groundwater (ft/yr)

Wwidth of area where recharge is mixing with groundwater (ft)

Llength of area where recharge is mixing with groundwater (ft)

Th

thickness of aquifer where groundwater flow is assumed to completely mix with recharge

 

(ft)

VD

Darcy velocity of groundwater (ft/yr)

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