气候变化领域集成服务门户(CCPortal): The Traveling Pilot Point method. A novel approach to parameterize the inverse problem for categorical fields

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DOI	10.1016/j.advwatres.2020.103556
	The Traveling Pilot Point method. A novel approach to parameterize the inverse problem for categorical fields
	Khambhammettu P.; Renard P.; Doherty J.
发表日期	2020
ISSN	0309-1708
卷号	138
英文摘要	Categorical parameter distributions are common-place in hydrogeological systems consisting of geologic facies/categories with distinct properties, e.g., high-permeability channels embedded in a low-permeability matrix. Parameter estimation is difficult in such systems because the discontinuities in the parameter space hinder the inverse problem. Previous research in this area has been focused on the use of stochastic methods. In this paper, we present a novel approach based on Traveling Pilot points (TRIPS) combined with subspace parameter estimation methods to generate realistic categorical parameter distributions that honor calibration constraints (e.g., - measured water levels). In traditional implementations, aquifer properties (e.g., hydraulic conductivity) are estimated at fixed pilot point locations. In the TRIPS implementation, both the properties associated with the pilot points and their locations are estimated. Tikhonov regularization constraints are incorporated in the parameter estimation process to produce realistic parameter depictions. For a synthetic aquifer system, we solved the categorical inverse problem by combining the TRIPS methodology with two subspace methods: Null Space Monte Carlo (NSMC) and Posterior Covariance (PC). A posterior ensemble developed with the rejection sampling (RS) method is compared against the TRIPS ensembles. The comparisons indicated similarities between the various ensembles and to the reference parameter distribution. Between the two subspace methods, the NSMC method produced an ensemble with more variability than the PC method. These preliminary results suggest that the TRIPS methodology has promise and could be tested on more complicated problems. © 2020
关键词	Aquifers Embedded systems Monte Carlo methods Parameter estimation Stochastic systems Water levels Categorical inversion Multiple-point statistics Null space Sub-space methods Traveling pilot points Inverse problems aquifer ensemble forecasting hydrological modeling inverse analysis Monte Carlo analysis parameter estimation stochasticity
语种	英语
来源机构	Advances in Water Resources
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/131830
推荐引用方式 GB/T 7714	Khambhammettu P.,Renard P.,Doherty J.. The Traveling Pilot Point method. A novel approach to parameterize the inverse problem for categorical fields[J]. Advances in Water Resources,2020,138.
APA	Khambhammettu P.,Renard P.,&Doherty J..(2020).The Traveling Pilot Point method. A novel approach to parameterize the inverse problem for categorical fields.,138.
MLA	Khambhammettu P.,et al."The Traveling Pilot Point method. A novel approach to parameterize the inverse problem for categorical fields".138(2020).