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A Bayesian inverse simulation method to accelerate the description of Gaussian hydrogeological parameter field

A hydrogeological and simulation method technology, applied in the field of hydrological statistics, can solve the problems of time-consuming calculation, difficulty in solving large-scale and high-dimensional problems, and achieve high efficiency

Active Publication Date: 2021-09-07
HOHAI UNIV
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Problems solved by technology

However, the Markov Monte Carlo method is very time-consuming and difficult to solve large-scale and high-dimensional problems.

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  • A Bayesian inverse simulation method to accelerate the description of Gaussian hydrogeological parameter field
  • A Bayesian inverse simulation method to accelerate the description of Gaussian hydrogeological parameter field
  • A Bayesian inverse simulation method to accelerate the description of Gaussian hydrogeological parameter field

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Embodiment Construction

[0032] The technical solutions of the present invention will be further described below in conjunction with the accompanying drawings and embodiments.

[0033] In order to verify that the present invention is a Bayesian inverse simulation method that can accelerate the description of the Gaussian hydrogeological parameter field, it is verified in a saturated, steady-flow confined aquifer. The two-dimensional space of the aquifer is 5000m*5000m, and the thickness is 50m. And the discretization is 100*100*1 cells, each cell is 50m*50m*50m, the east and west boundaries are water-proof boundaries and the given water levels are 20m and 0m respectively, and the south and north boundaries are water-proof boundaries. And as figure 1 As shown, given 25 observation wells and 4 pumping wells, circles represent observation wells, asterisks represent pumping wells, and pumping wells #1, #2, #3, and #4 pump 120m 3 / d, 70m 3 / d, 90m 3 / d, 90m 3 / d. Through sequential Gaussian simulation...

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Abstract

The invention discloses a Bayesian inverse simulation method for accelerating the description of a Gaussian hydrogeological parameter field, comprising the following steps: establishing an initial hydrological parameter field, establishing a temperature gradient and a jump factor gradient; distribution to obtain the current suggested sampling; for each Markov chain, when the acceptance probability is satisfied, the next sampling is realized as the current suggested sampling, otherwise it remains unchanged; for any pair of Markov chains with different temperatures, when the sample When the quotient of the number and the recommended exchange frequency is an integer, and the exchange acceptance probability is met, the information between the cold chain and the hot chain is exchanged, otherwise it remains unchanged; repeat the above process to sample the next Gaussian field sample, according to the set The length of the Markov chain determines whether to terminate sampling. This method is an asymptotically accurate sampling method, which is more efficient than the preconditioned Crank-Nicholson Markov Monte Carlo method in dealing with geostatistical inverse simulation problems.

Description

technical field [0001] The invention belongs to the technical field of hydrological statistics, and in particular relates to a Bayesian inverse simulation method for accelerating the description of a Gaussian hydrogeological parameter field. Background technique [0002] The state of groundwater is closely related to the sustainable development of human society. A reliable groundwater flow and solute transport simulation is of great significance in groundwater level forecasting, solute transport prediction, groundwater resource management, and groundwater environmental hazard assessment. The quality of groundwater flow and solute transport simulations depends to a large extent on the quality of groundwater hydrological parameters (eg, hydraulic conductivity, porosity, etc.). However, experimental measurements of these hydrological parameters in actual field are very scarce relative to the aquifer scale. However, the scarce hydrogeological parameter measurement data is diff...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/27G06N7/00
CPCG06F30/27G06N7/01
Inventor 徐腾张文俊陈沁宇鲁春辉谢一凡
Owner HOHAI UNIV