Inverse procedure for calibrating parameters that control land subsidence caused by subsurface fluid withdrawal: 1. Methods

Water Resources Research - Tập 44 Số 7 - 2008
Yi Liu1,2, Donald C. Helm1
1Department of Civil Engineering Morgan State University Baltimore Maryland USA
2Now at Texas AgriLife Research, Texas A&M University, El Paso, Texas, USA.

Tóm tắt

Land subsidence prediction depends on a selected theoretical model and the calibration of its parameter values. An inverse model is developed that calibrates five parameters of a compacting confined aquifer system: K′v (vertical hydraulic conductivity of the aquitards), S′skv (aquitard nonrecoverable skeletal specific storage), S′ske (aquitard recoverable skeletal specific storage), Ssk (skeletal specific storage of the aquifer), and p′max 0 (initial preconsolidation stress within the aquitards). This inverse model combines a procedure for finding an initial set of parameter values and an inverse adjustment procedure. Initial values are estimated by using a new graphic method for the analysis of field data. The follow‐up inverse procedure is a computer algorithm that combines the Newton‐Raphson method with Helm's one‐dimensional finite difference subsidence model (COMPAC). COMPAC offers two options: a constant‐parameter simulation and a stress‐dependent parameter simulation. The classical least squares criterion is employed as the objective function of this inverse procedure. Three characteristics of the objective function are considered. This inverse model is applied to calculations of an idealized compacting confined aquifer system using Helm's model. This investigation shows that the final values for the five parameters lead to simulated compaction error of less than 1%. This contrasts to the initial error of more than 60%. These results indicate that the proposed inverse procedure (model) can be applied to actual field data.

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Tài liệu tham khảo

Belloni L. S.Venturini andA.Caielli(2000) Tide induced subsidence in the superficial soil deposits in the Venice Lagoon paper presented atSixth International Symposium on Land Subsidence Ravenna Italy.

Bravo R., 1991, Proceedings of Fourth International Symposium on Land Subsidence, 15

Bravo R., 1991, Proceedings of the Fourth International Symposium on Land Subsidence, 655

10.1111/j.1745-6584.2001.tb00358.x

10.1007/s10040-004-0404-7

Doherty J. L.Brebber andP.Whyte(1994) PEST‐Model ‐Independent Parameter Estimation: User's manual Watermark Comput. Corinda Queensl. Australia.

Esaki T., 1998, Parameter Estimation Using Optimization Methods in Land Subsidence Models, in Land Subsidence Case Studies and Current Research: Proceedings of the Dr. Joseph F. Poland Symposium on Land Subsidence, 249

10.1029/98WR01285

Galloway D. L., 1999, Land subsidence in the United States, U.S. Geol. Surv. Circ.

10.1029/WR009i003p00721

10.1029/WR010i003p00563

Gu X. andQ. Q.Ran(2000) A 3‐D coupled model with consideration of rheological properties paper presented atSixth International Symposium on Land Subsidence Ravenna Italy.

Hallberg J.(2006) Parameter estimation tools for hydrologic and hydraulic simulation ERDC TN‐SWWRP‐06‐11 U.S. Army Eng. Res. and Dev. Cent. Vicksburg Miss.

Helm D. C., 1972, Simulation of aquitard compaction due to changes in stress (abstract), Eos Trans. AGU, 53

10.1029/WR011i003p00465

10.1029/WR012i003p00375

Helm D. C., 1976, Proceedings of the Anaheim Symposium, 145

Helm D. C.(1978) Field verification of a one‐dimensional mathematical model for transient compaction and expansion of a confined aquifer system paper presented atVerification of Mathematical and Physical Models in Hydraulic Engineering Am. Soc. of Civ. Eng. College Park Md.

Helm D. C., 1984, Field‐based computational techniques for predicting subsidence due to fluid withdrawal, Rev. Eng. Geol., 1

Helm D. C.(1984b) Latrobe Valley subsidence predictions: The modeling of time‐dependent ground movement due to groundwater withdrawal vol. 2 report State Electr. Comm. of Victoria Melbourne Vic. Australia.

Hoffmann J. S. A.Leake D. L.Galloway andA. M.Wilson(2003a) MODFLOW‐2000 ground‐water model‐User guide to the subsidence and aquifer‐system compaction (SUB) package U.S. Geol. Surv. Open File Rep. 03‐233 46 pp.

10.1029/2001WR001252

Holzer T. L., 1998, Land Subsidence Case Studies and Current Research: Proceedings of the Dr. Joseph F. Poland Symposium on Land Subsidence, 7

Honjo Y., 1991, Proceedings of the Fourth International Symposium on Land Subsidence, 625

Johnson A. I. R. P.Moston andD. A.Morris(1968) Physical and hydrologic properties of water‐bearing deposits in subsiding areas in central California U.S. Geol. Surv. Prof. Pap.497‐A 71 pp.

10.1111/j.1745-6584.1986.tb01456.x

10.1111/j.1745-6584.1986.tb01457.x

10.1016/S0022-1694(00)00379-6

Leake S. A., 1991, U.S. Geological Survey Techniques of Water‐Resources Investigations

Liu Y.(2006) Inverse problem for finding parameters that control land subsidence caused by subsurface fluid withdrawal Doctoral dissertation Morgan State Univ. Baltimore Md.

Liu Y., 2006, Coastal Hydrology and Processes, 257

10.1029/2007WR006606

Lofgren B. E., 1961, Measurement of compaction of aquifer systems in areas of land subsidence, U.S. Geol. Surv. Prof. Pap., 424, 49

Ossenbruggen P. J., 1984, Systems Analysis for Civil Engineers

Poeter E.P, 1998, Documentation of UCODE, a computer code for universal inverse modeling, U.S. Geol. Surv. Water Resour. Invest. Rep., 98‐4080

Poeter E. P. M. C.Hill E. R.Banta S.Mehl andS.Chris(2005) The UCODE_2005 and six other computer codes for universal sensitivity analysis calibration and uncertainty evaluation Tech. and Methods Rep. 6‐A11 283 pp. U.S. Geol. Surv. Boulder Colo.

Poland J. F., 1969, Land Subsidence, 11

Riley F. S., 1969, Land Subsidence, 423

Riley F. S., 1998, Land Subsidence Case Studies and Current Research: Proceedings of the Dr. F. Joseph Poland Symposium on Land Subsidence, 13

Sun N. Z., 1990, Coupled inverse problems in groundwater modeling: 1. Sensitivity analysis and parameter identification, Water Resour. Res., 20, 2507, 10.1029/WR026i010p02507

10.1029/WR026i010p02527

Terzaghi K., 1925, Principles of Soil Mechanics, 874

Waichler S. R.(1991) Prediction of land subsidence due to groundwater withdrawal in Las Vegas Valley Nevada Master's thesis Univ. of Nevada Reno.

Witherspoon P. A., 1972, The role of aquitards in multiple aquifer systems, Geotimes, 17, 22

Yager R. M.(2000) Simulation of land subsidence in a glacial aquifer system above a salt mine collapse in New York USA paper presented atSixth International Symposium on Land Subsidence Ravenna Italy.

10.1029/WR022i002p00095

10.1029/WR017i003p00664

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Water Resources Research

Tập 44 Số 7

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