Author: Ramon S. LaRussoPublisher:
ISBN:
Category :
Languages : en
Pages : 260
Book Description
Analysis of Seepage and Groundwater Flow by Monte Carlo Methods
Author: Ramon S. LaRussoSeepage and Groundwater Flow
Author: K. R. RushtonPublisher: John Wiley & Sons
ISBN:
Category : Science
Languages : en
Pages : 362
Book Description
An Adaptive Multi Level Monte-Carlo Method with Stochastic Bounds for Quantities of Interest in Groundwater Flow with Uncertain Data
Author: Publisher:
ISBN:
Category :
Languages : en
Pages : 214
Book Description
The focus of this work is the introduction of some computable a posteriori error control to the popular multilevel Monte Carlo sampling for PDE with stochastic data. We are especially interested in applications in the geosciences such as groundwater flow with rather rough stochastic fields for the conductive permeability. With a spatial discretisation based on finite elements, a goal functional is defined which encodes the quantity of interest. The devised goal-oriented error estimator enables to determine guaranteed a posteriori error bounds for this quantity. In particular, it allows for the adaptive refinement of the mesh hierarchy used in the multilevel Monte Carlo simulation. In addition to controlling the deterministic error, we also suggest how to treat the stochastic error in probability. Numerical experiments illustrate the performance of the presented adaptive algorithm for a posteriori error control in multilevel Monte Carlo methods. These include a localised goal with problem-adapted meshes and a slit domain example. The latter demonstrates the refinement of regions with low solution regularity based on an inexpensive explicit error estimator in the multilevel algorithm.
An Efficient Deterministic-probabilistic Approach to Modeling Regional Ground-water Flow
Author: Chung-Cheng YenPublisher:
ISBN:
Category : Groundwater
Languages : en
Pages : 50
Book Description
SEEPAGE AND GROUNDWATER FLOW : NUMER. ANALYSIS BY ANALOG AND DIGITAL METHODS
Author: Kenneth R. RushtonA First-order Reliabiblity Approach to Stochastic Analysis of Groundwater Flow
Author: Jeff D. CawlfieldEffective Groundwater Model Calibration
Author: Mary C. HillPublisher: John Wiley & Sons
ISBN: 0470041072
Category : Technology & Engineering
Languages : en
Pages : 475
Book Description
Methods and guidelines for developing and using mathematical models Turn to Effective Groundwater Model Calibration for a set of methods and guidelines that can help produce more accurate and transparent mathematical models. The models can represent groundwater flow and transport and other natural and engineered systems. Use this book and its extensive exercises to learn methods to fully exploit the data on hand, maximize the model's potential, and troubleshoot any problems that arise. Use the methods to perform: Sensitivity analysis to evaluate the information content of data Data assessment to identify (a) existing measurements that dominate model development and predictions and (b) potential measurements likely to improve the reliability of predictions Calibration to develop models that are consistent with the data in an optimal manner Uncertainty evaluation to quantify and communicate errors in simulated results that are often used to make important societal decisions Most of the methods are based on linear and nonlinear regression theory. Fourteen guidelines show the reader how to use the methods advantageously in practical situations. Exercises focus on a groundwater flow system and management problem, enabling readers to apply all the methods presented in the text. The exercises can be completed using the material provided in the book, or as hands-on computer exercises using instructions and files available on the text's accompanying Web site. Throughout the book, the authors stress the need for valid statistical concepts and easily understood presentation methods required to achieve well-tested, transparent models. Most of the examples and all of the exercises focus on simulating groundwater systems; other examples come from surface-water hydrology and geophysics. The methods and guidelines in the text are broadly applicable and can be used by students, researchers, and engineers to simulate many kinds systems.
Application of Time Series Analysis and Monte Carlo Simulation to a Water Quality Model
Author: Leslie Franklin GroberPublisher:
ISBN:
Category :
Languages : en
Pages : 350
Book Description
Stochastic Modeling of Complex Nonstationary Groundwater Flow Systems
Author: Chuen-Fa NiPublisher:
ISBN:
Category : Aquifers
Languages : en
Pages : 268
Book Description
Author: John Jacob Whipple