Bibliography#
Abramowitz, M., & Stegun, I. A. (1965). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. 9 ed. New York: Dover.
Anderson, M. P., Woessner, W. W., & Hunt, R. J. (2015). Applied Groundwater Modeling: Simulation of Flow and Advective Transport. Academic Press. doi:10.1016/C2009-0-21563-7
Bakker, M., & Anderson, E. I. (2003). Steady flow to a well near a stream with a leaky bed. Groundwater, 41(6), 833–840. doi:10.1111/j.1745-6584.2003.tb02424.x
Bakker, M., & Schaars, F. (2019). Solving groundwater flow problems with time series analysis: you may not even need another model. Groundwater, 57(6), 826–833. doi:10.1111/gwat.12927
Bakker, M. (2006). Analytic solutions for interface flow in combined confined and semiconfined, coastal aquifers. Advances in Water Resources, 29(3), 417–425. doi:10.1016/j.advwatres.2005.05.009
Bakker, M. (2013). Analytic modeling of transient multilayer flow. Advances in Hydrogeology (pp. 95–114). Springer. doi:10.1007/978-1-4614-6479-2_5
Bakker, M. (2025). Capture zone envelopes for pumping wells in fields of uniform areal recharge. ARC Geophysical Research, 1(1). doi:10.5149/ARC-GR.1425
Bakker, M., & Brakenhoff, D. (2026). Timflow: a multi-layer, analytic element model. URL: timflow-org/timflow
Bakker, M., & Kelson, V. A. (2009). Writing analytic element programs in python. Groundwater, 47(6), 828–834. doi:10.1111/j.1745-6584.2009.00583.x
Bakker, M., & Post, V. (2022). Analytical groundwater modeling: Theory and applications using python. CRC Press. doi:10.1201/9781315206134
Bakker, M., & Strack, O. D. L. (2003). Analytic elements for multiaquifer flow. Journal of Hydrology, 271(1-4), 119–129. doi:10.1016/S0022-1694(02)00319-0
Bear, J., & Jacobs, M. (1965). On the movement of water bodies injected into aquifers. Journal of Hydrology, 3(1), 37–57. doi:10.1016/0022-1694(65)90065-X
Bear, J., & Verruijt, A. (1987). Modeling Groundwater Flow and Pollution. D. Reidel Publishing Company.
Bruggeman, G.A. (1999). Analytical Solutions of Geohydrological Problems. Vol. 46. Amsterdam: Elsevier.
Carr, P. A., & Van Der Kamp, G. S. (1969). Determining aquifer characteristics by the tidal method. Water Resources Research, 5(5), 1023–1031. doi:10.1029/WR005i005p01023
Collenteur, R. A., Bakker, M., Caljé, R., Klop, S. A., & Schaars, F. (2019). Pastas: open source software for the analysis of groundwater time series. Groundwater, 57(6), 877–885. doi:10.1111/gwat.12925
Craig, J. R. (2008). Analytical solutions for 2d topography-driven flow in stratified and syncline aquifers. Advances in Water Resources, 31(8), 1066–1073. doi:10.1016/j.advwatres.2008.04.011
Darcy, H. (1856). Les Fontaines Publiques de la Ville de Dijon. Paris: Dalmont.
De Glee, G. (1930). Over grondwaterstroomingen bij waterontrekking door middel van putten (Doctoral dissertation). Delft University.
Dupuit, J.É.J. (1863). Études théoriques et pratiques sur le mouvement des eaux dans les canaux découverts et à travers les terrains perméables: avec des considérations relatives au régime des grandes eaux, au débouché à leur donner, et à la marche des alluvions dans les rivières à fond mobile. Dunod, Editeur.
Edelman, F. (1947). Over de berekening van grondwaterstromingen (Doctoral dissertation). Delft University, Delft.
Ferris, J. G. (1952). Cyclic Fluctuations of Water Level as a Basis for Determining Aquifer Transmissibility. US Department of the Interior, Geological Survey, Water Resources Division, Ground Water Branch. doi:10.3133/70133368
Fitts, C. R. (2010). Modeling aquifer systems with analytic elements and subdomains. Water Resources Research, 46(7). doi:10.1029/2009WR008331
Fitts, C. R. (2013). Groundwater Science (Second Edition). Second Edition ed. Boston: Academic Press.
Fitts, C. R. (2021). Anaqsim (analytic aquifer simulator). URL: https://www.fittsgeosolutions.com
Forchheimer, Ph. (1919). Zür theorie der grundwasserströmung. Sitzungsberichten der Akademie der Wissenschaften in Wien, Mathem.-natunv. Klasse, Abteilung IIa, 128, 7-14.
Forchheimer, P. (1886). Über die ergiebigkeit von brunnen-anlagen und sickerschlitzen. Zeitschrift des Architekten- und Ingenieur-Vereins zu Hannover, 32, 539–563.
Glover, R. E. (1959). The pattern of fresh-water flow in a coastal aquifer. Journal of Geophysical Research, 64(4), 457–459. doi:10.1029/JZ064i004p00457
Haitjema, H. M. (1995). Analytic element modeling of groundwater flow. San Diego: Academic Press.
Haitjema, H. M., & Mitchell-Bruker, S. (2005). Are water tables a subdued replica of the topography? Groundwater, 43(6), 781–786. doi:10.1111/j.1745-6584.2005.00090.x
Hantush, M. S., & Jacob, C. E. (1955). Non-steady radial flow in an infinite leaky aquifer. Eos, Transactions American Geophysical Union, 36(1), 95–100. doi:10.1029/TR036i001p00095
Harr, M. E. (1962). Groundwater and Seepage. New York: McGraw-Hill.
Harris, C. R., Millman, K. J., van der Walt, S. J., Gommers, R., Virtanen, P., Cournapeau, D., … Oliphant, T. E. (2020 , September). Array programming with NumPy. Nature, 585(7825), 357–362. doi:10.1038/s41586-020-2649-2
Hunter, J. D. (2007). Matplotlib: a 2d graphics environment. Computing in Science & Engineering, 9(3), 90–95. doi:10.1109/MCSE.2007.55
Jacob, C. E. (1950). Flow of Groundwater. New York: John Wiley.
Johansson, F., & others (2013). Mpmath: a python library for arbitrary-precision floating-point arithmetic (version 0.18). URL: http://mpmath.org/
Kluyver, T., Ragan-Kelley, B., Pérez, F., Granger, B., Bussonnier, M., Frederic, J., … others. (2016). Jupyter notebooks–a publishing format for reproducible computational workflows. Positioning and power in academic publishing: Players, agents and agendas (pp. 87–90). IOS press. doi:10.3233/978-1-61499-649-1-87
Kruseman, G. P., & De Ridder, N. A. (1990). Analysis and Evaluation of Pumping Test Data. Vol. 47. The Netherlands: International Institute for Land Reclamation and Improvement.
Lutz, M. (2013). Learning Python. 5th ed. Sebastopol, CA: O'Reilly Media.
Polubarinova-Kochina, P. (1962). Theory of Ground Water Movement. Princeton, NJ: Princeton University Press.
Post, V. E., Houben, G. J., & van Engelen, J. (2018). What is the ghijben-herzberg principle and who formulated it? Hydrogeology Journal, 26, 1801–1807. doi:10.1007/s10040-018-1796-0
Stehfest, H. (1970). Algorithm 368: numerical inversion of laplace transforms [d5]. Communications of the ACM, 13(1), 47–49. doi:10.1145/361953.361969
Strack, O. D. L. (1976). A single-potential solution for regional interface problems in coastal aquifers. Water Resources Research, 12(6), 1165–1174. doi:10.1029/WR012i006p01165
Strack, O. D. L. (1984). Three-dimensional streamlines in dupuit-forchheimer models. Water Resources Research, 20(7), 812–822. doi:10.1029/WR020i007p00812
Strack, O. D. L. (1989). Groundwater Mechanics. Englewood Cliffs, NJ: Prentice Hall.
Strack, O. D. L. (2003). Theory and applications of the analytic element method. Reviews of Geophysics, 41(2), 1001. doi:10.1029/2002RG000111
Strack, O. D. L. (2017). Analytical Groundwater Mechanics. Cambridge: Cambridge University Press.
Theis, C. V. (1935). The relation between the lowering of the piezometric surface and the rate and duration of discharge of a well using ground-water storage. Eos, Transactions American Geophysical Union, 16(2), 519–524. doi:10.1029/TR016i002p00519
Thiem, G. (1906). Hydrologische Methoden. Leipzig: J. M. Gebhardt.
Tóth, J. (1963). A theoretical analysis of groundwater flow in small drainage basins. Journal of Geophysical Research, 68(16), 4795–4812. doi:10.1029/JZ068i016p04795
Verruijt, A. (1970). Theory of Groundwater Flow. Macmillan.
Virtanen, P., Gommers, R., Oliphant, T. E., Haberland, M., Reddy, T., Cournapeau, D., … SciPy 1.0 Contributors. (2020). SciPy 1.0: Fundamental Algorithms for Scientific Computing in Python. Nature Methods, 17, 261–272. doi:10.1038/s41592-019-0686-2
Vogel, J. (1967). Investigation of groundwater flow with radiocarbon. International Atomic Energy Agency (IAEA).
U.S. Dept. of Interior, Bureau of Reclamation. (1995). Ground Water Manual. Washington, D.C.: U.S. Dept. of Interior, Bureau of Reclamation.