jang cheng-shing and cheng-wuing liu, hydrol. process. 18, 1333-1350(2004) adviser : jui-sheng chen...

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Geostatistical analysis and conditional simulation for estimating the spatial variability of hydraulic conductivity in the Choushui River alluvial fan, Taiwan Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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Page 1: Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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Geostatistical analysis and conditional simulation for estimating the spatial variability of hydraulic conductivity in the Choushui River alluvial fan, Taiwan

Jang Cheng-Shing and Cheng-Wuing Liu,Hydrol. Process. 18, 1333-1350(2004)

Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang

Page 2: Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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OUTLINE

INTRODUCTION STUDY AREA METHODS RESULTS SUMMARY AND CONCLUSIONS

Page 3: Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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INTRODUCTION

Why? For establishing a sound water

management plan to prevent further drawdown of groundwater levels, land subsidence and aquifer contamination in the Choushui River alluvial fan, Taiwan.

How? Ordinary Kriging (OK) Sequential Gaussion simulation (SGS) MODFLOW

Page 4: Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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STUDY AREA

Page 5: Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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STUDY AREA

Page 6: Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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METHODS

Establishing baseline flow

model

Inverse calibration(pumping and recharge

rate)

Flow simulation

Calculating global simulation errors(SAMSE)

Calculating local simulation

errors(SAMSE) along flow paths

Assessing the different spatial

variability of various

estimated K fields

Heterogeneous K fields by

geostatistical methods (OK,

mean SGS, individual SGS)

Page 7: Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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METHODS

Page 8: Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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METHODS

In a baseline flow model, a K field within each zone was constructed by determining a geometrical average of local measured data (Wen and Gómez-Hernández, 1996).

The pumping and recharge rates were inversely adjusted to reduce the difference between simulated and measured heads, and the calibrated errors were expected to fall within a tolerance of 1.5 m for each monitoring well (Gau et al., 1998).

Page 9: Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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METHODS

SAMSE=17.6M

Page 10: Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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METHODS

Ordinary Kriging (OK): Best:

Linear:

Unbiased Estimate:

Page 11: Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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METHODS

Page 12: Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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METHODS

Semivariances:

h

h a

c

Page 13: Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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METHODS

Page 14: Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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METHODS

Conditional simulation:

Page 15: Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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METHODS

Page 16: Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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RESULTS

SAMSE=15.1M

Page 17: Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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RESULTS

SAMSE=15.5m

Page 18: Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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RESULTS

SAMSE=18.4 to 38.4mMean=27.1M

Page 19: Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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RESULTS

Page 20: Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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RESULTS

Page 21: Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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SUMMARY AND CONCLUSIONS

The OK realization had the smallest sum of SAMSE and the SGS realizations preserved the spatial variability of the measured K fields.

The OK realization yields small local SAMSE in the measured K field of moderate magnitude,whereas the SGS realizations have small local SAMSE in the measured K fields, with high and low values.

Page 22: Jang Cheng-Shing and Cheng-Wuing Liu, Hydrol. Process. 18, 1333-1350(2004) Adviser : Jui-Sheng Chen and Cheng-Shing Jang Presenter : Wei-Jie Wang 1

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Thanks for your attention……