Search USGS⌕ Search

Geology topics

R. T. Miller

Publications and source records attributed to R. T. Miller.

7 recordsLinked to original sources

Finite-difference grid for a doublet well in an anisotropic aquifer

The U.S. Geological Survey is modeling hydraulic flow and thermal-energy transport at a two-well injection/ withdrawal system in St. Paul, Minnesota. The design of the finite-difference model grid for the doublet-well system is complicated because the aquifer is anisotropic and the principal axes of transmissivity are not aligned with the axis between the two wells. An analytical solution for flow in a doublet-well system in an infinite anisotropic aquifer was employed in the design of a grid with artificial boundaries placed in the midst of the flow field. Flow-net analysis was used to determine water flux across an cquipotential boundary and to assign approximate flux values at model boundaries. This enabled the simulation of the effects of the entire flow field, although only a small part was modeled. The validity of the flux values at the model boundaries for the isothermal case was tested by simulation of an eight-day injection test of ambient-temperature water. Model-computed pressures compared very favorably with field-observed pressures. The validity of boundary-flux values also was tested for nonisothermal conditions by simulation of injection of 300o F water at 300 gallons per minute for eight days.

Ground Water↗

Field observations, preliminary model analysis, and aquifer thermal efficiency

In May 1980, the University of Minnesota began a project to evaluate the feasibility of storing heated (150 degrees Celsius (°C) water in the deep (180 to 240 meters (m)) Franconia-Ironton-Galesville aquifer and later recovering it for space heating. The Aquifer Thermal-Energy Storage (ATES) system was a doublet-well design in which the injection and withdrawal wells were spaced approximately 250 m apart. High-temperature water from the university's steam-generation facilities supplied heat for injection. Water was pumped from one of the wells through a heat exchanger, where heat was added or removed. Water then was injected back into the aquifer through the other well. The experimental plan for testing the ATES system consisted of a series of short-term hot-water injection, storage, and withdrawal cycles. Each cycle was 24 days long, and each injection, storage, and withdrawal step of the cycle was 8 days. The Franconia-Ironton-Galesville aquifer is a consolidated sandstone, approximately 60 m thick, the top of which is approximately 180 m below the land surface. It is confined above by the St. Lawrence Formation a dolomitic sandstone 8 m thick and below by the Eau Claire Formation a shale 30 m thick. Initial hydraulic testing with inflatable packers indicated that the aquifer has four hydraulic zones with distinctly different values of relative horizontal hydraulic conductivity. The thickness of each zone was determined by correlating data from geophysical logs, core samples, and the inflatable-packer tests. A comprehensive network for data collection, storage, and analysis was designed to monitor temperature and pressure changes during the ATES test cycles. A total of 22 pressure transducers and 56 thermocouples monitored pressures and temperatures in the aquifer and in the upper and lower confining units. Temperature and pressure measurements were collected in observation well nests at distances of approximately 7 and 14 m from the production wells. All pressure and temperature data were transmitted through buried cables to a central data logger, where the measurements were viewed independently or stored on computer magnetic tape for later analysis. Interactive computer programs were available to display data stored on magnetic tapes as individual measurements or as plots of pressure and temperature versus time. Analyses of step-drawdown and constant-discharge aquifer tests indicate that the Franconia-Ironton-Galesville aquifer is anisotropic in the horizontal plane. Major and minor transmissivities are 101.5 and 44.6 m 2 /d (square meters per day), respectively, for the Ironton and Galesville Sandstones and 40.0 and 24.0 m 2 /d, respectively, for the upper part of the Franconia Formation. The average transmissivity of the entire Franconia-Ironton-Galesville aquifer is about 98 m 2 /d. Effective porosity ranges from 0.25 to 0.31, and the average storage coefficient is 4.5x10 -5 . Two computer models were constructed to simulate the movement of ground water and heat. The first was a nonisothermal, isotropic, single-phase, radial, ground-water flow and thermal-energy-transport model that was constructed to examine the sensitivity of model results to various hydraulic and thermal properties. The model also was used to study the potential for buoyancy flow within the aquifer and the effect of various cyclic injection and withdrawal schemes on the relative thermal efficiency of the aquifer. The second model was a threedimensional ground-water flow and thermal-energy-transport model that was constructed to incorporate the anisotropy of the aquifer. In the first model, the sensitivity analysis assumed 8 days of injection of 150°C water at 18.9 liters per second (L/s), 8 days of storage, and 8 days of withdrawal of hot water at 18.9 L/s. The analysis indicates that, for practical ranges of hydraulic and thermal properties, the ratio of horizontal to vertical hydraulic conductivity is the least important property and thermal dispersivity is the most important property used to compute temperature and aquifer thermal efficiency. Buoyancy flow was examined for several values of hydraulic conductivity and ratios of horizontal to vertical hydraulic conductivities. For the assumed base values of hydraulic and thermal properties, buoyancy flow was negligible. The greatest simulated buoyancy flow resulted from simulations in which horizontal hydraulic conductivity was increased to ten times the base value and in which the vertical hydraulic conductivity was set equal to the horizontal hydraulic conductivity. The effects of various injection and withdrawal rates and durations on computed values of aquifer relative-thermal efficiency and final well-bore temperature were studied for five 1-year hypothetical test cycles of injection and withdrawal. The least efficient scheme was 8 months injection of 150°C water at 18.9 L/s and 4 months of withdrawal of hot water at 18.9 L/s. The most efficient scheme was obtained with 6 months of injection of 150°C water at 18.9 L/s and 6 months of withdrawal of hot water at 37.8 L/s. The hypothetical simulations indicate that the calibrated model of the doublet-well system would be a valuable tool for use by the university in selecting a highly efficient system operation. In the second model, analytical solutions of anisotropic hydraulic flow around the doublet-well system were obtained to provide fluid-flux boundary conditions around the heat-injection well in three dimensions. This information simplified simulation of the doublet-well system because only the heat injection well needed to be simulated. This second model was calibrated with data from an 8-day ambienttemperature injection test at 18.9 L/s. Boundary-flux conditions were examined for nonisothermal conditions by simulating 8 days of injection of 150°C water at 18.9 L/s. Results of simulations using both models indicate that the fluxboundary conditions are adequate for simulations of short-term heatinjection testing.

Professional Paper↗

THERMAL-ENERGY STORAGE IN A DEEP SANDSTONE AQUIFER IN MINNESOTA: FIELD OBSERVATIONS AND THERMAL ENERGY-TRANSPORT MODELING.

A study of the feasibility of storing heated water in a deep sandstone aquifer in Minnesota is described. The aquifer consists of four hydraulic zones that are areally anisotropic and have average hydraulic conductivities that range from 0. 03 to 1. 2 meters per day. A preliminary axially symmetric, nonisothermal, isotropic, single-phase, radial-flow, thermal-energy-transport model was constructed to investigate the sensitivity of model simulation to various hydraulic and thermal properties of the aquifer. A three-dimensional flow and thermal-energy transport model was constructed to incorporate the areal anisotropy of the aquifer. Analytical solutions of equations describing areally anisotropic groundwater flow around a doublet-well system were used to specify model boundary conditions for simulation of heat injection. The entire heat-injection-testing period of approximately 400 days was simulated. Model-computed temperatures compared favorably with field-recorded temperatures, with differences of no more than plus or minus 8 degree C. For each test cycle, model-computed aquifer thermal efficiency, defined as total heat withdrawn divided by total heat injected, was within plus or minus 2% of the field-calculated values.

Conference Paper↗

Appraisal of the Pelican River sand-plain aquifer, western Minnesota

The Pelican River sand-plain area includes approximately 200 square miles of outwash deposits in parts of Decker, Otter Tail, and Clay Counties in west-central Minnesota. Saturated thickness of the outwash is as much as 140 feet and yields of properly constructed wells locally may exceed 1,200 gallons per minute. Recharge to the outwash from snowmelt and rain ranged from 3.2 to 6.1 inches during 1979-80. Discharge from the aquifer, as base flow of the Pelican River, averaged 2.0 inches during 1979-80. Evapotranspiration is 22.4 inches per year. The chemical quality of ground water is suitable for irrigation, as measured by sodium-adsorption ratios, but locally high concentrations of calcium, magnesium, and bicarbonate may cause clogging of well screens. Mathematical models of parts of the ground-water-flow system indicate that lake levels and streamflow may decline because of pumping wells. The exact water-level decline depends on the total number of wells, pumping rates, location of pumping wells with respect to one another and to surface-water bodies, duration of pumping, and the quantity of ground-water recharge. Sensitivity analyses of the models indicates that additional data on hydraulic conductivity, evapotranspiration, and recharge may increase the reliability of model results. Buried aquifers are known to be present in the area. Aquifer-test results showed that pumping from a buried aquifer had no effect on water levels in the unconfined aquifer.

Minnesota↗

Hydrologic data for the Pelican River sand-plain aquifer, western Minnesota

Hydrogeologic data for the Pelican River sands aquifer have been compiled in this report for use by the public and by State and local officials in making water development and management decisions. This report will supplement an interpretive report on the hydrogeology of the Pelican River sands aquifer that is scheduled for publication in 1981. The data which were collected in 1965, 1972, and 1978-79, include results of chemical analyses of water from selected wells, water-level measurements in wells, logs of test holes and observation wells, and results of aquifer tests.

Minnesota↗