Allen M. Shapiro, Ph.D. (Former Employee)
Science and Products
Filter Total Items: 68
Cautions and suggestions for geochemical sampling in fractured rock
Collecting water samples for geochemical analyses in open bedrock boreholes or in discrete intervals of boreholes intersected by multiple fractures is likely to yield ambiguous results for ground water chemistry because of the variability in the transmissivity, storativity, and hydraulic head of fractures intersecting the borehole. Interpreting chemical analyses of water samples collected in bedro
Authors
Allen M. Shapiro
Fractured-rock aquifers, understanding an increasingly important source of water
Ground water is one of the Nation's most important natural resources. It provides drinking water to communities, supports industry and agriculture, and sustains streams and wetlands. A long record of contributions exists in understanding ground-water movement in sand and gravel aquifers; historically, these aquifers were easily accessible and the first to be investigated. With increased demand for
Authors
Allen M. Shapiro
Crosswell seismic investigation of hydraulically conductive, fracture bedrock near Mirror Lake, New Hampshire
Near Mirror Lake, New Hampshire (USA), hydraulically conductive, fractured bedrock was investigated with the crosswell seismic method to determine whether this method could provide any information about hydraulic conductivity between wells. To this end, crosswell seismic data, acoustic logs from boreholes, image logs from boreholes, and single borehole hydraulic tests were analyzed. The analysis s
Authors
K.J. Ellefsen, P. A. Hsieh, A.M. Shapiro
Effective matrix diffusion in kilometer‐scale transport in fractured crystalline rock
Concentrations of tritium (3H) and dichlorodifluoromethane (CFC‐12) in water samples taken from glacial drift and fractured crystalline rock over 4 km2 in central New Hampshire are interpreted to identify a conceptual model of matrix diffusion and the magnitude of the diffusion coefficient. Dispersion and mass transfer to and from fractures has affected the 3H concentration to the extent that the
Authors
Allen M. Shapiro
Tracer transport in fractured crystalline rock: Evidence of nondiffusive breakthrough tailing
Extended tailing of tracer breakthrough is often observed in pulse injection tracer tests conducted in fractured geologic media. This behavior has been attributed to diffusive exchange of tracer between mobile fluids traveling through channels in fractures and relatively stagnant fluid between fluid channels, along fracture walls, or within the bulk matrix. We present a field example where tracer
Authors
Matthew W. Becker, Allen M. Shapiro
Estimating formation properties from early-time oscillatory water levels in a pumped well
Hydrologists often attempt to estimate formation properties from aquifer tests for which only the hydraulic responses in a pumped well are available. Borehole storage, turbulent head losses, and borehole skin, however, can mask the hydraulic behavior of the formation inferred from the water level in the pumped well. Also, in highly permeable formations or in formations at significant depth below l
Authors
A.M. Shapiro, D.S. Oki
Movement of road salt to a small New Hampshire lake
Runoff of road salt from an interstate highway in New Hampshire has led to contamination of a lake and a stream that flows into the lake, in spite of the construction of a diversion berm to divert road salt runoff out of the lake drainage basin. Chloride concentration in the stream has increased by over an order of magnitude during the 23 yr since the highway was opened, and chloride concentration
Authors
D. O. Rosenberry, P.A. Bukaveckas, D.C. Buso, G.E. Likens, A.M. Shapiro, T. C. Winter
Hydrogeologic characterization of the Minnelusa and Madison aquifers near Spearfish, South Dakota
No abstract available.
Authors
E.A. Greene, A.M. Shapiro, Janet M. Carter
Estimating formation properties from early-time recovery in wells subject to turbulent head losses
A mathematical model is developed to interpret the early-time recovering water level following the termination of pumping in wells subject to turbulent head losses. The model assumes that turbulent head losses dissipate immediately when pumping ends. In wells subject to both borehole storage and turbulent head losses, the early-time recovery exhibits a slope equal to 1/2 on log-log plots of the re
Authors
A.M. Shapiro, D.S. Oki, E.A. Greene
How good are estimates of transmissivity from slug tests in fractured rock?
Slug tests in fractured rock usually are interpreted with models that assume homogeneous formation properties, even though hydraulic properties of fractures can vary by many orders of magnitude over the length of boreholes. To investigate the impact of heterogeneity on the interpretation of slug tests in fractured rock, slug tests were conducted over large intervals of boreholes in crystalline roc
Authors
A.M. Shapiro, P. A. Hsieh
AIRSLUG: A fortran program for the computation of type curves to estimate transmissivity and storativity from prematurely terminated air-pressurized slug tests
The Fortran code AIRSLUG can be used to generate the type curves needed to analyze the recovery data from prematurely terminated air-pressurized slug tests. These type curves, when used with a graphical software package, enable the engineer or scientist to analyze field tests to estimate transmissivity and storativity. Prematurely terminating the slug test can significantly reduce the overall time
Authors
E.A. Greene, A.M. Shapiro
Non-USGS Publications**
Pinder, G. F. and Shapiro, A. 1982. Physics of Flow in Geothermal Systems, in Recent Trends in Hydrogeology. ed. T. N. Narasimhan. Geological Society of America, Boulder, CO. p. 25-30. https://doi.org/10.1130/SPE189-p25.
Pinder, G. F. and Shapiro, A. 1979. A new collocation method for the solution of the convection-dominated transport equation. Water Resources Research 15(5): 1177-1182. https://doi.org/10.1029/WR015i005p01177.
Pinder, G. F. and Shapiro, A. 1980. Reply to comment on "A new collocation method for the solution of the convection-dominated transport equation". Water Resources Research 16(6): 1137. https://doi.org/10.1029/WR016i006p01137.
Shapiro, A. and Pinder, G. F. 1981. Analysis of an upstream weighted collocation approximation to the transport equation. Journal of Computational Physics 39(1): 46-71. https://doi.org/10.1016/0021-9991(81)90136-4.
Andersson, J. and Shapiro, A. M. 1983. Stochastic analysis of one-dimensional steady state unsaturated flow: A Comparison of Monte Carlo and Perturbation Methods. Water Resources Research 19(1): 121-133. 10.1029/WR019i001p00121.
Shapiro, A. M. and Andersson, J. 1983. Steady state fluid response in fractured rock: A boundary element solution for a coupled, discrete fracture continuum model. Water Resources Research 19(4): 959-969. 10.1029/WR019i004p00959.
Andersson, J., Shapiro, A. M. and Bear, J. 1984. A Stochastic Model of a Fractured Rock Conditioned by Measured Information. Water Resources Research 20(1): 79-88. 10.1029/WR020i001p00079.
Bear, J. and Shapiro, A. M. 1984. On the shape of the non-steady interface intersecting discontinuities in permeability. Advances in Water Resources 7(3): 106-112. https://doi.org/10.1016/0309-1708(84)90037-X.
Bear, J., Shamir, U., Gamliel, A. and Shapiro, A. M. 1985. Motion of the seawater interface in a coastal aquifer by the method of successive steady states. Journal of Hydrology 76(1): 119-132. https://doi.org/10.1016/0022-1694(85)90093-9.
**Disclaimer: The views expressed in Non-USGS publications are those of the author and do not represent the views of the USGS, Department of the Interior, or the U.S. Government.
Science and Products
Filter Total Items: 68
Cautions and suggestions for geochemical sampling in fractured rock
Collecting water samples for geochemical analyses in open bedrock boreholes or in discrete intervals of boreholes intersected by multiple fractures is likely to yield ambiguous results for ground water chemistry because of the variability in the transmissivity, storativity, and hydraulic head of fractures intersecting the borehole. Interpreting chemical analyses of water samples collected in bedro
Authors
Allen M. Shapiro
Fractured-rock aquifers, understanding an increasingly important source of water
Ground water is one of the Nation's most important natural resources. It provides drinking water to communities, supports industry and agriculture, and sustains streams and wetlands. A long record of contributions exists in understanding ground-water movement in sand and gravel aquifers; historically, these aquifers were easily accessible and the first to be investigated. With increased demand for
Authors
Allen M. Shapiro
Crosswell seismic investigation of hydraulically conductive, fracture bedrock near Mirror Lake, New Hampshire
Near Mirror Lake, New Hampshire (USA), hydraulically conductive, fractured bedrock was investigated with the crosswell seismic method to determine whether this method could provide any information about hydraulic conductivity between wells. To this end, crosswell seismic data, acoustic logs from boreholes, image logs from boreholes, and single borehole hydraulic tests were analyzed. The analysis s
Authors
K.J. Ellefsen, P. A. Hsieh, A.M. Shapiro
Effective matrix diffusion in kilometer‐scale transport in fractured crystalline rock
Concentrations of tritium (3H) and dichlorodifluoromethane (CFC‐12) in water samples taken from glacial drift and fractured crystalline rock over 4 km2 in central New Hampshire are interpreted to identify a conceptual model of matrix diffusion and the magnitude of the diffusion coefficient. Dispersion and mass transfer to and from fractures has affected the 3H concentration to the extent that the
Authors
Allen M. Shapiro
Tracer transport in fractured crystalline rock: Evidence of nondiffusive breakthrough tailing
Extended tailing of tracer breakthrough is often observed in pulse injection tracer tests conducted in fractured geologic media. This behavior has been attributed to diffusive exchange of tracer between mobile fluids traveling through channels in fractures and relatively stagnant fluid between fluid channels, along fracture walls, or within the bulk matrix. We present a field example where tracer
Authors
Matthew W. Becker, Allen M. Shapiro
Estimating formation properties from early-time oscillatory water levels in a pumped well
Hydrologists often attempt to estimate formation properties from aquifer tests for which only the hydraulic responses in a pumped well are available. Borehole storage, turbulent head losses, and borehole skin, however, can mask the hydraulic behavior of the formation inferred from the water level in the pumped well. Also, in highly permeable formations or in formations at significant depth below l
Authors
A.M. Shapiro, D.S. Oki
Movement of road salt to a small New Hampshire lake
Runoff of road salt from an interstate highway in New Hampshire has led to contamination of a lake and a stream that flows into the lake, in spite of the construction of a diversion berm to divert road salt runoff out of the lake drainage basin. Chloride concentration in the stream has increased by over an order of magnitude during the 23 yr since the highway was opened, and chloride concentration
Authors
D. O. Rosenberry, P.A. Bukaveckas, D.C. Buso, G.E. Likens, A.M. Shapiro, T. C. Winter
Hydrogeologic characterization of the Minnelusa and Madison aquifers near Spearfish, South Dakota
No abstract available.
Authors
E.A. Greene, A.M. Shapiro, Janet M. Carter
Estimating formation properties from early-time recovery in wells subject to turbulent head losses
A mathematical model is developed to interpret the early-time recovering water level following the termination of pumping in wells subject to turbulent head losses. The model assumes that turbulent head losses dissipate immediately when pumping ends. In wells subject to both borehole storage and turbulent head losses, the early-time recovery exhibits a slope equal to 1/2 on log-log plots of the re
Authors
A.M. Shapiro, D.S. Oki, E.A. Greene
How good are estimates of transmissivity from slug tests in fractured rock?
Slug tests in fractured rock usually are interpreted with models that assume homogeneous formation properties, even though hydraulic properties of fractures can vary by many orders of magnitude over the length of boreholes. To investigate the impact of heterogeneity on the interpretation of slug tests in fractured rock, slug tests were conducted over large intervals of boreholes in crystalline roc
Authors
A.M. Shapiro, P. A. Hsieh
AIRSLUG: A fortran program for the computation of type curves to estimate transmissivity and storativity from prematurely terminated air-pressurized slug tests
The Fortran code AIRSLUG can be used to generate the type curves needed to analyze the recovery data from prematurely terminated air-pressurized slug tests. These type curves, when used with a graphical software package, enable the engineer or scientist to analyze field tests to estimate transmissivity and storativity. Prematurely terminating the slug test can significantly reduce the overall time
Authors
E.A. Greene, A.M. Shapiro
Non-USGS Publications**
Pinder, G. F. and Shapiro, A. 1982. Physics of Flow in Geothermal Systems, in Recent Trends in Hydrogeology. ed. T. N. Narasimhan. Geological Society of America, Boulder, CO. p. 25-30. https://doi.org/10.1130/SPE189-p25.
Pinder, G. F. and Shapiro, A. 1979. A new collocation method for the solution of the convection-dominated transport equation. Water Resources Research 15(5): 1177-1182. https://doi.org/10.1029/WR015i005p01177.
Pinder, G. F. and Shapiro, A. 1980. Reply to comment on "A new collocation method for the solution of the convection-dominated transport equation". Water Resources Research 16(6): 1137. https://doi.org/10.1029/WR016i006p01137.
Shapiro, A. and Pinder, G. F. 1981. Analysis of an upstream weighted collocation approximation to the transport equation. Journal of Computational Physics 39(1): 46-71. https://doi.org/10.1016/0021-9991(81)90136-4.
Andersson, J. and Shapiro, A. M. 1983. Stochastic analysis of one-dimensional steady state unsaturated flow: A Comparison of Monte Carlo and Perturbation Methods. Water Resources Research 19(1): 121-133. 10.1029/WR019i001p00121.
Shapiro, A. M. and Andersson, J. 1983. Steady state fluid response in fractured rock: A boundary element solution for a coupled, discrete fracture continuum model. Water Resources Research 19(4): 959-969. 10.1029/WR019i004p00959.
Andersson, J., Shapiro, A. M. and Bear, J. 1984. A Stochastic Model of a Fractured Rock Conditioned by Measured Information. Water Resources Research 20(1): 79-88. 10.1029/WR020i001p00079.
Bear, J. and Shapiro, A. M. 1984. On the shape of the non-steady interface intersecting discontinuities in permeability. Advances in Water Resources 7(3): 106-112. https://doi.org/10.1016/0309-1708(84)90037-X.
Bear, J., Shamir, U., Gamliel, A. and Shapiro, A. M. 1985. Motion of the seawater interface in a coastal aquifer by the method of successive steady states. Journal of Hydrology 76(1): 119-132. https://doi.org/10.1016/0022-1694(85)90093-9.
**Disclaimer: The views expressed in Non-USGS publications are those of the author and do not represent the views of the USGS, Department of the Interior, or the U.S. Government.