Contents

Abstract

Chapter 1. Introduction

Purpose and Scope

Acknowledgments

Chapter 2. Theory

The UNC Process

Confidence Intervals

Weighted Residuals

Prediction Intervals

The RESAN2-2k Program

A Test for Model Intrinsic Nonlinearity

A Test for Model and System Types of Intrinsic Nonlinearity

A Test for Normality of Weighted Residuals

The BEALE2-2k Program

A Measure of Average Total Model Nonlinearity

A Measure of Average Model Intrinsic Nonlinearity

A Measure of Model Combined Intrinsic Nonlinearity for Confidence Intervals

A Measure of Model Combined Intrinsic Nonlinearity for Prediction Intervals

The CORFAC-2k Program

Calculation of the Correction Factors When Ω Is Known

Approximate Calculation of the Correction Factors When Ω Is Unknown

Approximate Calculation of the Correction Factors When Ω Is Partly Known

Chapter 3. User Guide to The UNC Process

When to Use the UNC Process

Changes to MODFLOW-2000 to Include the UNC Process

Activation of the UNC Process

Types of Parameter-Dependent Functions For Which Intervals Can Be Computed By the UNC Process

Determination of the Critical Value

Setting the Starting Values for the Parameters

Setting the Scaling Vector

Searching for the Global Extreme Value

Addressing Convergence Problems

Checking for Intrinsic Nonlinearity Using Weighted Residuals Produced By the UNC Process

Hydraulic Heads and Head-Dependent Flows

Input Instructions

Instructions for the UNC Input File

Example UNC Input File

Explanation of Variables in UNC Input File

Chapter 4. User Guide to RESAN2-2k

Testing Weighted Residuals for Indications of Non-Normality

Testing for Intrinsic Nonlinearity

Input Instructions

Output

Content of the _rs Input File Needed By RESAN2-2k

Content of the _ws Input File Needed By RESAN2-2k

Chapter 5. User Guide to BEALE2-2k

Input Instructions

Output from BEALE2-2k

Content of the _b1 Input File Needed By BEALE2-2k

Content of the _b2 Input File Needed By BEALE2-2k

Content of the _b3 Input File Needed By BEALE2-2k

Content of the _b4 Input File Needed By BEALE2-2k

Chapter 6. User Guide to CORFAC-2k

Input Instructions

Output from CORFAC-2k

Content of the _cf Input File Needed By CORFAC-2k

References

Appendix A. Solutions for Extreme Values

Confidence Intervals

Prediction Intervals

Appendix B. Computation of Q and R for Testing for Equality of Constrained and Unconstrained Residuals

Appendix C. Example Simulations

Parameter Estimation

Computation of Correction Factors Using CORFAC-2k

Computation of Nonlinearity Measures Using BEALE2-2k

Residuals Analysis And Detection of Nonlinearity Using RESAN2-2k

Calculation of Confidence Intervals Using MODFLOW-2000 With the UNC Process

Parameter Estimation – Input Files

Parameter Estimation – GLOBAL Output File

Modified Input Files For Generation of CORFAC-2k Input File

Modified _cf Input File to CORFAC-2k

Output File from CORFAC-2k

Input Files Used to Generate BEALE2-2k Input Files

BEALE2-2k Input Files

BEALE2-2k Output File

RESAN2-2k Input Files

RESAN2-2k Output Files

MODFLOW-2000 Input Files For Confidence Interval Calculation

GLOBAL Output File For Confidence Interval Calculation

Summary And Weighted Residuals Output Files

Back