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Journal ArticleDOI

Estimating aquifer hydraulic properties using sinusoidal pumping at the Savannah River site, South Carolina, USA

24 Apr 2003-Hydrogeology Journal (Springer-Verlag)-Vol. 11, Iss: 4, pp 466-482
TL;DR: In this paper, a framework for estimating aquifer hydraulic properties using sinusoidal pumping is presented that derives analytical solutions for confined, leaky, and partially penetrating conditions, and compares the analytical solutions with a finite element model.
Abstract: A framework for estimating aquifer hydraulic properties using sinusoidal pumping is presented that (1) derives analytical solutions for confined, leaky, and partially penetrating conditions; (2) compares the analytical solutions with a finite element model; (3) establishes a field protocol for conducting sinusoidal aquifer tests; and (4) estimates aquifer parameters using the analytical solutions. The procedure is demonstrated in one surficial and two confined aquifers containing potentially contaminated water in coastal plain sediments at the Savannah River site, a federal nuclear facility. The analytical solutions compare favorably with finite-element solutions, except immediately adjacent to the pumping well where the assumption of zero borehole radius is not valid. Estimated aquifer properties are consistent with previous studies for the two confined aquifers, but are inconsistent for the surficial aquifer; conventional tests yielded estimates of the specific yield—consistent with an unconfined response—while the shorter-duration sinusoidal perturbations yielded estimates of the storativity—consistent with a confined, elastic response. The approach minimizes investigation-derived wastes, a significant concern where contaminated fluids must be disposed of in an environmentally acceptable manner. An additional advantage is the ability to introduce a signal different from background perturbations, thus easing detection.
Citations
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Journal ArticleDOI
TL;DR: In this paper, photovoltaic water pumping technology is considered as a sustainable and economical solution to provide water for irrigation, which can halt grassland degradation and promote farmland conservation.

140 citations

Journal ArticleDOI
TL;DR: In this article, a modified approach to periodic pumping test analysis was proposed, in which one uses several periodic pumping signals of different frequencies as stimulation, and responses are analyzed through inverse modeling using a "steady-periodic" model formulation.
Abstract: [1] Periodic pumping tests, in which a fluid is extracted during half a period, then reinjected, have been used historically to estimate effective aquifer properties. In this work, we suggest a modified approach to periodic pumping test analysis in which one uses several periodic pumping signals of different frequencies as stimulation, and responses are analyzed through inverse modeling using a “steady-periodic” model formulation. We refer to this strategy as multifrequency oscillatory hydraulic imaging. Oscillating pumping tests have several advantages that have been noted, including no net water extraction during testing and robust signal measurement through signal processing. Through numerical experiments, we demonstrate additional distinct advantages that multifrequency stimulations have, including: (1) drastically reduced computational cost through use of a steady-periodic numerical model and (2) full utilization of the aquifer heterogeneity information provided by responses at different frequencies. We first perform fully transient numerical modeling for heterogeneous aquifers and show that equivalent results are obtained using a faster steady-periodic heterogeneous numerical model of the wave phasor. The sensitivities of observed signal response to aquifer heterogeneities are derived using an adjoint state-based approach, which shows that different frequency stimulations provide complementary information. Finally, we present an example 2-D application in which sinusoidal signals at multiple frequencies are used as a data source and are inverted to obtain estimates of aquifer heterogeneity. These analyses show the different heterogeneity information that can be obtained from different stimulation frequencies, and that data from several sinusoidal pumping tests can be rapidly inverted using the steady-periodic framework.

113 citations


Cites methods from "Estimating aquifer hydraulic proper..."

  • ...[41] As mentioned in section 1, steady-periodic models for oscillatory flow have been used to estimate effective homogenous aquifer properties [e.g., Rasmussen et al., 2003]....

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Journal ArticleDOI
TL;DR: In this article, the variations of the self-potential (SP) during periodic pumping tests performed at a test site located near a freshwater reservoir (Kemnader See, Bochum, Germany). Successions of injection and production intervals were applied in a borehole penetrating a jointed sandstone aquifer.
Abstract: [1] We measured the variations of the self-potential (SP) during periodic pumping tests performed at a test site located near a freshwater reservoir (Kemnader See, Bochum, Germany). Successions of injection and production intervals were applied in a borehole penetrating a jointed sandstone aquifer. We report the SP observations for tests with periods ranging between 10 and 60 min and flow rates between 10 and 25 L min -1 . The SP responses at the surface exhibit the imposed period but are not truly harmonic contrary to the hydraulic pressure and SP measured in monitoring wells. In the grassy zone around the injection well, the amplitude of the SP signals decreases with distance from the injection well (around one order of magnitude at 10 m) in rough agreement with predictions for radial flow in a homogeneous medium around an infinite source. The shape of the SP responses also evolves with distance. Fourier spectral analysis reveals that the surface signals generally contain two main components at the main period and at half the period with the relative weight of the subperiodic components increasing with distance. Furthermore, the characteristics of the SP responses depend on whether the boreholes are left open or closed by packers. The comparison between surface and borehole measurements suggests that nonlinear phenomena are acting, probably related to the saturation and desaturation processes occurring in the vadose zone.

71 citations

Journal ArticleDOI
TL;DR: In this article, a new method of measuring dynamic strain in boreholes was used to record fracture displacement in response to head oscillation, which was found to be semi-logarithmically related to effective stress, a relationship typically explained by the effect of selfaffine fracture roughness on fracture closure.
Abstract: A new method of measuring dynamic strain in boreholes was used to record fracture displacement in response to head oscillation. Fiber optic distributed acoustic sensing (DAS) was used to measure strain at mHz frequencies, rather than the Hz to kHz frequencies typical for seismic and acoustic monitoring. Fiber-optic cable was mechanically coupled to the wall of a borehole drilled into fractured crystalline bedrock. Oscillating hydraulic signals were applied at a companion borehole 30 m away. DAS measured fracture displacement at frequencies of less than 1 mHz and amplitudes of less than 1 nm, in response to fluid pressure changes of less 20 Pa (2 mm H2O). Displacement was semi-logarithmically related to effective stress, a relationship typically explained by the effect of self-affine fracture roughness on fracture closure. These results imply that fracture roughness affects closure even when displacement is a million times smaller than the fracture aperture.

60 citations

Journal ArticleDOI
TL;DR: In this paper, the authors synthesize the published literature on using different methods to estimate field specific storage of aquifers, including pumping tests, slug tests, and analyses of sea tides, atmospheric loading and earth tides, and seismic waves.

48 citations

References
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01 Jan 1952
TL;DR: The mathematical theory of ground-water hydraulics has been based entirely on a postulate that equilibrium has been attained and therefore that water-levels are no longer falling as discussed by the authors.
Abstract: When a well is pumped or otherwise discharged, water-levels in its neighborhood are lowered. Unless this lowering occurs instantaneously it represents a loss of storage, either by the un-watering of a portion of the previously saturated sediments if the aquifer is nonartesian or by release of stored water by the compaction of the aquifer due to the lowered pressure if the aquifer is artesian. The mathematical theory of ground-water hydraulics has been based, apparently entirely, on a postulate that equilibrium has been attained and therefore that water-levels are no longer falling. In a great number of hydrologic problems, involving a well or pumping district near or in which water-levels are falling, the current theory is therefore not strictly applicable. This paper investigates in part the nature and consequences of a mathematical theory that considers the motion of ground-water before equilibrium is reached and, as a consequence, involves time as a variable.

2,640 citations


"Estimating aquifer hydraulic proper..." refers background or methods in this paper

  • ...Analytical solutions are presented for sinusoidal equivalents of three steady-flow aquifer testing conditions: (1) the Theis (1935) solution of the confined aquifer problem, (2) the Hantush and Jacob (1955) solution of the leaky aquifer problem, and (3) the Hantush (1964) solution for a partially…...

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  • ...Theis (1935) introduced an analytical solution for a well pumping at a constant rate from a confined aquifer system....

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  • ...Sinusoidal aquifer test solutions are presented for confined (Theis 1935) and leaky (Hantush and Jacob 1955) aquifers for wells that fully penetrate the aquifer, along with an analytic solution for confined aquifers with partially penetrating wells (Hantush 1964)....

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Journal ArticleDOI
TL;DR: The mathematical theory of ground-water hydraulics has been based entirely on a postulate that equilibrium has been attained and therefore that water-levels are no longer falling.
Abstract: When a well is pumped or otherwise discharged, water-levels in its neighborhood are lowered. Unless this lowering occurs instantaneously it represents a loss of storage, either by the un-watering of a portion of the previously saturated sediments if the aquifer is nonartesian or by release of stored water by the compaction of the aquifer due to the lowered pressure if the aquifer is artesian. The mathematical theory of ground-water hydraulics has been based, apparently entirely, on a postulate that equilibrium has been attained and therefore that water-levels are no longer falling. In a great number of hydrologic problems, involving a well or pumping district near or in which water-levels are falling, the current theory is therefore not strictly applicable. This paper investigates in part the nature and consequences of a mathematical theory that considers the motion of ground-water before equilibrium is reached and, as a consequence, involves time as a variable.

2,459 citations

Book
01 Jan 1972

1,808 citations


"Estimating aquifer hydraulic proper..." refers background in this paper

  • ...The transform has the property that: Fc f 00ðr; z; tÞf g ¼ np b 2 fcðr; n; tÞ þ ð 1Þnf 0 ðr;m; tÞ f 0ðr; 0; tÞ ð61Þ where the prime denotes differentiation with respect to z (Miles 1971; Pinkus and Zafrany 1977; Sneddon 1972)....

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  • ...f 0ðr; 0; tÞ ð61Þ where the prime denotes differentiation with respect to z (Miles 1971; Pinkus and Zafrany 1977; Sneddon 1972)....

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Book
01 Jan 1976
TL;DR: In this article, the authors present a computer program for two-dimensional field problems for structural and solid mechanics, including axisymmetric elasticity and Torsion of noncircular sections.
Abstract: BASIC CONCEPTS. One-Dimensional Linear Element. A Finite Element Example. Element Matrices: Galerkin Formulation. Two-Dimensional Elements. Coordinate Systems. FIELD PROBLEMS. Two-Dimensional Field Equation. Torsion of Noncircular Sections. Derivative Boundary Conditions: Point Sources and Sinks. Irrotational Flow. Heat Transfer by Conduction and Convection. Acoustical Vibrations. Axisymmetric Field Problems. Time-Dependent Field Problems: Theoretical Considerations. Time-Dependent Field Problems: Practical Considerations. Computer Program for Two-Dimensional Field Problems. STRUCTURAL AND SOLID MECHANICS. The Axial Force Member. Element Matrices: Potential Energy Formulations. The Truss Element. A Beam Element. A Plane Frame Element. Theory of Elasticity. Two-Dimensional Elasticity. Axisymmetric Elasticity. Computer Programs for Structural and Solid Mechanics. LINEAR AND QUADRATIC ELEMENTS. Element Shape Functions. Element Matrices. Isoparametric Computer Programs. References. Appendices.

1,027 citations


"Estimating aquifer hydraulic proper..." refers methods in this paper

  • ...The consistent formulation of Galerkin’s method of weighted residuals is used for both s and @s/@t, using a linear variation with r and z (Segerlind 1984; Cheney and Kincaid 1994), while the trapezoid rule is used to integrate with respect to time....

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Book
01 Jan 1980
TL;DR: Students of science and engineering are shown the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving.
Abstract: Authors Ward Cheney and David Kincaid show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. The text also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting, predicting, and controlling these errors. A more theoretical text with a different menu of topics is the authors' highly regarded NUMERICAL ANALYSIS: MATHEMATICS OF SCIENTIFIC COMPUTING, THIRD EDITION.

1,024 citations


"Estimating aquifer hydraulic proper..." refers methods in this paper

  • ...The consistent formulation of Galerkin’s method of weighted residuals is used for both s and @s/@t, using a linear variation with r and z (Segerlind 1984; Cheney and Kincaid 1994), while the trapezoid rule is used to integrate with respect to time....

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