Mathematical Simulation of Subsurface-Water Flow Using Uncertain and Incomplete Data

Satisfactory formulations and solutions of equations approximately describing (1) movement of fluids and components contained in fluids through consolidated and unconsolidated rocks, and (2) interactions of the fluids and rocks accompanying fluid movement, are needed for proper understanding and management of ground-water resources. Such formulations and solutions of equations that apply for general field situations where the flow system is complex and hydrologic data are inexact are not, in general, available. Project objectives are to: (1) reformulate where necessary, the equations describing the flow of fluids through porous or fractured rock to include stochastic processes, emphasizing equations that are suitable for field use; (2) derive methods to solve for dependent variables and estimate parameters in the equations; (3) derive methods to assess the uncertainty of both the results computed using the model formed by the basic equations and the parameters estimated for the model; and (4) derive methods to assess the predictive capability of the model.

REPORTS PUBLISHED 2000-2001

Cooley, R.L., 2004, a theory for modeling ground-water flow in heterogeneous media: U.S. Geological Survey Professional Paper 1679, 220 p. (link to view on-line publication as .DJVU or as a group of images)

Barth, G.R., Illangasekare, T.H., Hill, M.C., and Rajaram, H., 2001, A new tracer-density criterion for porous media: Water Resources Research, v. 37, p. 21-32. (on-line abstract)

Hill, M.C., Ely, D.M., Tiedeman, C.R., O'Brien, G.M., D'Agnese, F.A., and Faunt, C.C., 2001, Preliminary evaluation of the importance of existing hydraulic-head observation locations to advective transport predictions, Death Valley regional flow system, California and Nevada: U.S. Geological Survey Water-Resources Investigations Report 00-4282. (on-line report)

Mehl, S., and Hill, M.C., 2001, A comparison of solute-transport solution techniques and their effect on sensitivity analysis and inverse modeling results: Ground Water, v. 39, no. 2, p. 300-307. (on-line abstract)

Mehl, S., and Hill, M.C., 2001, Mehl, S.W., and Hill, M.C., 2001, MODFLOW-2000, the U.S. Geological Survey modular ground-water model -- user guide to the Link-AMG (LMG) package for solving matrix equations using an algebraic multigrid solver: U.S. Geological Survey Open-File Report 01-177, 33 p. (on line abstract or download on-line report in pdf format)

Zheng, Chunmiao, Hill, M.C., and Hsieh, P.A., 2001, MODFLOW-2000, the U.S. Geological Survey modular ground-water model--User guide to the LMT6 package, the linkage with MT3DMS for multi-species mass transport modeling: U.S. Geological Survey Open-File Report 01-82, 43 p. (on line abstract or on-line report in pdf format)

Anderman, E.R., and Hill, M.C., 2000, MODFLOW-2000, the U.S. Geological Survey modular ground-water model -- Documentation of the hydrologic-unit flow (HUF) package: U.S. Geological Survey Open-File Report 00-342. (on-line report in pdf format)

Barth, G.R., Hill, M.C., Illangasekare, T.H., and Rajaram, Harihar, 2000, Predictive modeling of flow in a two-dimensional intermediate-scale, heterogeneous porous media, in Stauffer, F.,Kinzelbach, W., Kovar, K., and Hoehn, E., eds., Proceedings of the 1999 Model CARE Conference, Zurich, Switzerland, September, 1999, IAHS Publication no. 265, p. 265-271. (on-line abstract)

Cooley, R.L., 2000, An analysis of the pilot point methodology for automated calibration of an ensemble of conditionally simulated transmissivity fields: Water Resources Research, v. 36, no. 4, 1159-1163. (on-line abstract)

Cooley, R.L., and Hill, M.C., 2000, Comment on "Pilot point methodology for automated calibration of an ensemble of conditionally simulated transmissivity fields, 1, Theory and computational experiments" by B.S. RamaRoa, A.M. LaVenue, G. de Marsily, and M.G. Marietta and "Pilot point methododolgy for automated calibration of an ensemble of conditionally simulated transmissivity fields, 2, Application" by A.M. LaVenue, B.S. RamaRoa, G. de Marily, and M.G. Marietta, Water Resources Research, v. 36, no. 9, p. 2795-2797.

D'Agnese, F.A., Faunt, C.C., and Hill, M.C., 2000, Modeling the Death Valley Regional Ground-Water Flow System: Proceedings of the 2000 Joint Conference on Water Resources Engineering and Water Resources Planning and Management, Minneapolis, Minnesota, American Society of Engineers (compact disk).

Ely, D.M., Hill, M.C. and Tiedeman, C.R., 2000, Identifying observations important to predictions of a ground-water model of the Death Valley regional flow system: Proceedings of ASCE conference, July-August, 2000, Minneapolis, Minnesota.

Ely, D.M., Hill, M.C., Tiedeman, C.R., and O'Brien, G.M., 2000, Evaluating observations in the context of predictions for the Death Valley regional groundwater system: Proceedings of the 2000 Joint Conference on Water Resources Engineering and Water Resources Planning and Management, Minneapolis, Minnesota, compact disk, American Society of Engineers (compact disk).

Harbaugh, A.W., Banta, E.R., Hill, M.C., and McDonald, M.G., 2000, MODFLOW-2000, The U.S. Geological Survey modular ground-water model--User guide to the Modularization concepts and the ground-water flow process: U.S. Geological Survey Open-File Report 00-92, 121 p. (on-line report in pdf format)

Hill, M.C., Banta, E.R., Harbaugh, A.W., and Anderman, E.R., 2000, Documentation of MODFLOW-2000, the U.S. Geological Survey modular ground-water model, User's guide to the Observation, Sensitivity, and Parameter-Estimation Process and three post-processing programs: U.S. Geological Survey Open-File Report 00-184, 209p. (on-line report in pdf format)

Hill, M.C., 2000, Methods and guidelines for effective model calibration: Proceedings of the 2000 Joint Conference on Water Resources Engineering and Water Resources Planning and Management, Minneapolis, Minnesota, American Society of Engineers (compact disk).

Hill, M.C., D'Agnese, F.A., and Faunt, C.C., 2000, Guidelines for model calibration and application to simulation of flow in the Death Valley regional ground-water system, in Stauffer, K., Kinzelbach, W., Kovar, K., and Hoehn, E., eds., Proceedings of the 1999 Model CARE Conference, Zurich Switzerland, September, 1999: IAHS Publication no. 265, p. 195-204. (on-line abstract)

Mehl, S., and Hill, M.C., 2000, A comparison of solute-transport solution techniques based on inverse modeling results, in Stauffer, F., Kinzelbach, W., Kovar, K., and Hoehn, E., eds., Proceedings of the.1999 Model CARE Conference, Zurich, Switzerland, September, 1999, IAHS Publication no. 265, p. 205-212. (on-line abstract)

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