Skip to main content

Models for Tracer Test Analysis and Interpretation

  • Chapter
  • First Online:
Subsurface Solute Transport Models and Case Histories

Part of the book series: Theory and Applications of Transport in Porous Media ((TATP,volume 25))

  • 1427 Accesses

Abstract

A common approach to characterizing aquifer mass transfer properties is the use of tracer tests. Our focus is mostly on tracer tests that employ a forced flow field induced by injection and/or withdrawal wells. Such tests offer advantages for estimating transport properties in porous and fractured media over natural gradient tracer tests (Hydraulic and tracer testing…, 1996). We also will focus on the analysis of models describing the vertical movement of natural saltwater–freshwater interface in thick groundwater systems. The interpretation of the latter process also results in useful information about solute transport properties of systems featuring natural hydrogeochemical stratification. Those models are next modified to account for density difference between the fluids in contact (see Secs. 12.3 and 14.2).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Abramowitz M, Stegun I (1970) Handbook of mathematical functions. Dover Publications, Inc, New York

    Google Scholar 

  • Alexeev VC, Communar GM, Sherzhukov BS (1989) Mass-transport in saturated rocks. VINITI, Moscow (In Russian)

    Google Scholar 

  • Bateman H, Erdelyi A (1954) Tables of integral transforms. Vol.1. McGraw-Hill Book Company, Inc

    Google Scholar 

  • Becker MW, Charbeneau RJ (2000) First-passage-time functions for groundwater tracer tests conducted in radially convergent flow. J Contam Hydrol 40:299–310

    Article  Google Scholar 

  • Bochever FM, Oradovskaya AE (1969) Some problems of liquid waste flow in natural groundwater systems. Reports of the USSR Academy of Sciences. Series Mechanics of Fluid and Gas 6:196–202 (In Russian)

    Google Scholar 

  • Brouyère S, Carabin G, Dassargues A (2005) Influence of injection conditions on field tracer experiments. Ground Water 43:389–400

    Article  Google Scholar 

  • Chapuis RP, Chesnaux R (2006) Travel time to a well pumping an unconfined aquifer without recharge. Ground Water 44: 600–603

    Article  Google Scholar 

  • Charbeneau RJ (2000) Groundwater hydraulics and pollutant transport. Prentice Hall, Upper Saddle River, NY

    Google Scholar 

  • Chen C-S (1985) Analytical and approximate solutions to radial dispersion from an injection well to a geological unit with simultaneous diffusion into adjacent strata. Water Resour Res 21:1069–1079

    Article  Google Scholar 

  • Chen J-S, Liu C-W, Chen C-S et al (1996) A Laplace transformation solution for tracer tests in a radially convergent flow field with upstream dispersion. J Hydrol 183:263–275

    Article  Google Scholar 

  • Chen J-S, Liu C-W, Chen C-S et al (2002) A novel analytical power series solution for solute transport in a radially convergent flow field. J Hydrol 266:120–138

    Article  Google Scholar 

  • Chen J-S, Liu C-W, Liao C-M (2003) Two-dimensional Laplace-transformed power series solution for solute transport in radially convergent flow field. Adv Water Resour 26:1113–1124

    Article  Google Scholar 

  • Chen J-S, Chen C-S, Chen CY (2007) Analysis of solute transport in a divergent flow tracer test with scale-dependent dispersion. Hydrol Processes 21:2526–2536

    Article  Google Scholar 

  • Chen J-S, Ni C-F, Liang C-L (2008) Analytical power series solutions to the two-dimensional advection-dispersion equation with distance-dependent dispersivities. Hydrol Processes 22:4670–4678

    Article  Google Scholar 

  • Chen J-S, Jang C-S, Cheng C-T et al (2010) Conservative solute approximation to the transport of a remedial reagent1 in a vertical circulation flow field. J Hydrol 390:155–168

    Article  Google Scholar 

  • Communar GM (2000) Unsteady flow to wells partially penetrating in two-layered aquifer. Transp Porous Media 39:367–383

    Article  Google Scholar 

  • Communar GM, Sherzhukov BS, Muratova LN (1986) Advective dispersion and mass-exchenge in a radial flow. In: Forecast of submerging and protective measures. VODGEO, Moscow (In Russian)

    Google Scholar 

  • Dagan G (1971) Perturbation solution of the dispersion equation in porous medium. Water Resour Res 7:135–142

    Article  Google Scholar 

  • Gelhar LW, Collins MA (1971) General analysis of longitudinal dispersion in nonuniform flow. Water Resour Res 7:1511–1521

    Article  Google Scholar 

  • Goldberg VM (1976) Groudwater quality forecasting at wellfields. Nedra, Moscow (In Russian)

    Google Scholar 

  • Grove DB, Beetem WA (1971) Porosity and dispersion constant calculations for a fractured carbonate aquifer using the two well tracer method. Water Resour Res 7:128–134

    Article  Google Scholar 

  • Hoopes JA, Harleman DRF (1967a) Dispersion in radial flow from a recharging well. J Geophys Res 72:3595–3607

    Article  Google Scholar 

  • Hoopes JA, Harleman DRF (1967b) Wastewater recharge and dispersion in porous media. J Hydraul Div 93(HY5):51–71

    Google Scholar 

  • Hsieh PA (1986) A new formula for the analytical solution of the radial dispersion problem. Water Resour Res 22:1597–1605

    Article  Google Scholar 

  • Hydraulic and tracer testing of fractured rock (1996) Rock Fractures and Fluid Flow. Contemporary Understanding and Applications. Committee on Fracture Characterization and Fluid Flow. National Academy Press. Washington, D.C.

    Google Scholar 

  • Indelman P, Dagan G (1999) Solute transport in divergent radial flow through heterogeneous porous media. J of Fluid Mechan 384:159–182.

    Article  Google Scholar 

  • Kabala ZJ (1993) The dipole flow test: a new single-borehole test for aquifer characterization. Water Resour Res 29:99–107

    Article  Google Scholar 

  • Kamke E (1977) Differentialgleichungen: Losungsmethoden und Losungen, I, Gewohnliche Differentialgleichungen, B.G. Teubner, Leipzig

    Book  Google Scholar 

  • Kisel VA, Abramov YS (1978) Exploitation of oil well-fields with bottom water. Nedra, Moscow (In Russian)

    Google Scholar 

  • Kocabas I, Islam MR (2000) Concentration and temperature transients in heterogeneous porous media. Part II: Radial transport. J Pet Sci Engin 26:221–233

    Article  Google Scholar 

  • Konosavsky PK, Mironenko VA, Rumynin VG (1993) Development of models for tracer tests in aquifers. Geoecology 3:104–124 (In Russian)

    Google Scholar 

  • Kreft A, Lenda A, Turek B et al (1974) Determination of effective porosities by the two-well pulse method. In: Isotope techniques in groundwater hydrology. International Atomic Energy Agency, Vienna, pp 295–312

    Google Scholar 

  • Kwok W, Hayes RE, Nasr-El-Din HA (1995) Dispersion in consolidated sandstone with radial flow. Transp Porous Media 19:37–66

    Article  Google Scholar 

  • Leij FJ, Torido N (1995) Discrete time- and length-average solutions of the advection-dispersion equation. Water Resour Res 31:1713–1724.

    Article  Google Scholar 

  • Maloszewski P, Zuber A (1990) Mathematical modeling of tracer behavior in short-term experiments in fractured rocks. Water Resour Res 26:1517–1528

    Article  Google Scholar 

  • McKnight D, Smalley AL, Banwart SA et al (2004) Development of a novel in situ aquifer assessment tool, the dipole flow and reactive tracer test. In: Young RN, Thomas HR (eds) Geoenvironmental engineering: integrated management of groundwater and contaminated land. Thomas Telford Ltd, Stratford-upon-Avon (UK)

    Google Scholar 

  • Mironenko VA, Rumynin VG (1979) Groundwater sampling during the study of mass transport in the subsurface environment. Prospecting and Protection of the Earth Interior 5:36–45 (In Russian)

    Google Scholar 

  • Mironenko VA, Rumynin VG (1986) Tracer tests in aquifers. Nedra, Moscow

    Google Scholar 

  • Mironenko VA, Rumynin VG (1998 a) Problems of environmental hydrogeology. Vol. 1: Theoretical analysis amd modeling of solute transport processes. MMSA, Moscow (In Russian)

    Google Scholar 

  • Mironenko VA, Rumynin VG (1998 b) Problems of environmental hydrogeology. Vol. 2: Experimental Studies. MMGA, Moscow (In Russian)

    Google Scholar 

  • Moench AF (1989) Convergent radial dispersion: A Laplace transform solution for aquifer tracer testing. Water Resour Res 25:439–447

    Article  Google Scholar 

  • Moench AF (1991) Convergent radial dispersion: a note on evaluation of the Laplace transform solution. Water Resour Res 27:3261–3264

    Article  Google Scholar 

  • Moench AF (1995) Convergent radial dispersion in a double-porosity aquifer with fracture skin: Analytical solution and application to a field experiment in fractured chalk. Water Resour Res 31:1823–1835

    Article  Google Scholar 

  • Moench AF, Ogata A (1981) A numerical inversion of the Laplace transform solution to radial dispersion in a porous medium. Water Resour Res 17:250–252

    Article  Google Scholar 

  • Novakowski KS (1992) Analysis of tracer experiments conducted in divergent radial flow fields. Water Resour Res 28:3215–3225

    Article  Google Scholar 

  • Novakowski KS, Lapcevic PA (1994) Field measurement of radial solute transport in fractured rock. Water Resour Res 30:37–44

    Article  Google Scholar 

  • Novakowski KS, Evans G, Lever DA (1985) A field example of measuring hydrodynamic dispersion in a single fracture. Water Resour Res 21:1165–1174

    Article  Google Scholar 

  • Ogata A (1970) Theory of dispersion in a granular medium. Fluid movement in Earth materials. US GS Professional Paper, N 411-I, Washington, DC

    Google Scholar 

  • Raimondi P, Gardner GHG, Petrick CB (1959) Effect of pore structure and molecular diffusion on the mixing of miscible liquids flowing in porous media. Amer. Inst. Chem. Eng. Society of petroleum Eng. Confer., Preprint 43

    Google Scholar 

  • Reimus P, Pohll G, Mihevc T (2003) Testing and parameterizing a conceptual model for solute transport in fractured granite using multiple tracers in a forced-gradient test. Water Resour Res. doi:1029/2002WR001597

    Google Scholar 

  • Roshal AA (1981) Field methods for assessment of migration properties of aquifers. In: Hydrogeology and Engineering Geology. VIEMS, Moscow (In Russian)

    Google Scholar 

  • Rumynin VG (1981) Study of mass transfer in fractured-porous reservoirs. PhD Thesis. Leningrad Mining Institute (In Russian)

    Google Scholar 

  • Rumynin VG, Mironenko VA (1996) Development of theoretical and technical basis for tracer tests in aquifer. In: Aral MM (ad) Advances in Groundwater Pollution Control and Remediation. NATO ASI Series, Kluwer Academic Publ, pp 173–199

    Google Scholar 

  • Sauty JP (1978) Identification des parametres du transport hidrodispersif dans les aquiferes par interpretation de tracages en ecoulement cylindriqoe convergent on divergent. J Hydrol 49:69–103

    Article  Google Scholar 

  • Sauty J-P (1980) An analysis of hydrodispersive transfer in aquifer.Water Resour Res 16:145–158

    Google Scholar 

  • Shestakov VM (1963) On theory of solution migration in soils. In: Problems of groundwater quality formation. VODGEO, Moscow (In Russian)

    Google Scholar 

  • Shestakov VM (1995) Hydrogeodynamics. MGU, Moscow (In Russian)

    Google Scholar 

  • Sutton DJ, Kabala ZJ, Schaad DE et al (2000) The dipole-flow test with a tracer: a new single-borehole tracer test for aquifer characterization. J Contam Hydrol 44:71–101

    Article  Google Scholar 

  • Tang DH, Babu DK (1979) Analytical solution of a velocity dependent dispersion problem. Water Resour Res 15:1471–1478

    Article  Google Scholar 

  • Veling Ed JM (2001) Analytical solution and numerical evaluation of the radial symmetric convection – diffusion equation with arbitary initial and boundary data. In: Gehrels H, Peters NE, Hoehn E (ed) Impact of Human Activity on Ground Water Dynamics. Proceedings of a symposium held during the Sixth IAHS Scientific Assembly at Maastricht. IAHS Publ. 269:271–276

    Google Scholar 

  • Wang HQ, Crampon N (1995) Method for interpreting tracer experiments in radial flow using modified analytical solutions. J Hydrol 165:11–31

    Article  Google Scholar 

  • Welty C, Gelhar LW (1994) Evaluation of longitudinal dispersivity from nonuniform flow tracer tests. J Hydrol 153:71–102

    Article  Google Scholar 

  • Zhou Q, Liu H-H, Molz FJ et al (2007) Field-scale effective matrix diffusion coefficient for fractured rock: Results from literature survey. J Contam Hydrol 93:161–187

    Article  Google Scholar 

  • Zlotnik VA, Ledder G (1996) Theory of dipol flow in uniform anisotropic aquifers. Water Resour Res 32:1119–1128

    Article  Google Scholar 

  • Zlotnik VA, Logan JD (1996) Boundary conditions for convergent radial tracer tests and effect of well bore mixing volume. Water Resour Res 32:2323–2328

    Article  Google Scholar 

  • Zuber A (1974) Theoretical possibilities of the two-well pulse method. Isotope Techniques in Groundwater Hydrology. In: International Atomic Energy Agency. Vienna, pp 277–294

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vyacheslav G. Rumynin .

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer Science+Business Media B.V.

About this chapter

Cite this chapter

Rumynin, V.G. (2011). Models for Tracer Test Analysis and Interpretation. In: Subsurface Solute Transport Models and Case Histories. Theory and Applications of Transport in Porous Media, vol 25. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1306-2_8

Download citation

Publish with us

Policies and ethics