Description

Book Synopsis


Table of Contents

List of Variables with Common Example Units xvii

Preface to Second Edition xxvii

Preface to First Edition xxix

1 Introduction 1

1.1 Risk Analysis 2

1.2 Risk 4

1.3 Contaminants in the Environment 8

1.4 Uses of Environmental Risk Assessment 9

1.5 Risk Assessment Process 13

1.5.1 Problem Statement 13

1.5.2 System Description 14

1.5.3 Risk Calculation 14

1.5.4 Integration and Iteration 18

References 19

Additional Reading 20

Problems 21

2 Fundamental Aspects of Environmental Modeling 23

2.1 Introduction 23

2.2 Modeling Process 24

2.2.1 Model Development 24

2.2.2 Modeling Assurance 28

2.2.3 Environmental Modeling in Phases 30

2.3 Physical and Mathematical Basis for Risk Assessment Models 31

2.3.1 Mass Balances 31

2.3.2 Simple Models 40

2.4 Contaminant Transport Equation 47

2.4.1 Transport Processes 48

2.4.2 Derivation of the Contaminant Transport Equation 49

2.4.3 Zero-dimensional Solutions of the Contaminant Transport Equation 52

References 58

Additional Reading 59

Problems 59

3 Release Assessment 64

3.1 Introduction 64

3.2 Conceptual Model 65

3.3 Contaminant Identification 66

3.4 Emission-Rate Quantification 72

3.4.1 Release Probability 74

3.4.2 Contaminant Emission Rate 79

References 83

Additional Reading 84

Problems 84

4 Environmental Transport Theory 87

4.1 Introduction 87

4.2 One-Dimensional Solutions of the Contaminant Transport Equation 89

4.2.1 One-dimensional Advection 89

4.2.2 One-dimensional Advection and Dispersion 95

4.3 Three-Dimensional Contaminant Transport 99

4.4 Advanced Solution Methods 100

4.4.1 Numerical Techniques 100

4.4.2 Superposition Integral 101

References 103

Additional Reading 104

Problems 104

5 Surface Water Transport 107

5.1 Introduction 107

5.2 Types of Surface Water Bodies 109

5.2.1 Rivers and Streams 109

5.2.2 Lakes 111

5.2.3 Reservoirs on Rivers 111

5.2.4 Estuaries 111

5.2.5 Oceans 111

5.3 Sorption 112

5.3.1 Distribution Coefficient 112

5.3.2 Fraction Sorbed 116

5.3.3 Inclusion of Sorption in Transport Models 117

5.4 Transport Modeling 119

5.4.1 Lakes 119

5.4.2 Rivers and Streams 123

References 128

Additional Reading 129

Problems 129

6 Groundwater Transport 132

6.1 Introduction 132

6.2 Subsurface Characterization 134

6.3 Saturated Flow in Porous Media 135

6.3.1 Groundwater Speed and Direction 135

6.3.2 Porosity and Hydraulic Conductivity 138

6.3.3 Dispersion 138

6.4 Sorption 143

6.5 Subsurface Contaminant Transport Modeling 144

6.5.1 Linear Equilibrium Model of Subsurface Contaminant Transport 144

6.5.2 Saturated-Zone Transport Solutions 148

6.6 Other Considerations in Groundwater Transport 153

6.6.1 Vadose Zone Transport 153

6.6.2 Colloidal Transport 155

6.6.3 Transformations 155

6.6.4 NonAqueous-Phase Liquids 156

References 158

Additional Reading 159

Problems 159

7 Atmospheric Transport 163

7.1 Introduction 163

7.2 Atmospheric Dispersion 164

7.3 Atmospheric Transport Models 168

7.3.1 Constant Emission Rate: Gaussian Plume Model 168

7.3.2 Long-Term Averages 175

7.3.3 Infinite Line Source 179

7.3.4 Instantaneous Emission: Gaussian Puff Model 179

7.4 Other Considerations 180

7.4.1 Effective Release Height and Plume Rise 180

7.4.2 Building Wake 181

7.4.3 Release with Inversion Aloft 182

7.4.4 Nonconservative Processes 184

References 186

Additional Reading 187

Problems 187

8 Food Chain Transport 191

8.1 Introduction 191

8.2 Concentration in Soil 195

8.2.1 Conceptual Model 195

8.2.2 Atmospheric Deposition 197

8.2.3 Irrigation Deposition 197

8.2.4 Atmospheric Resuspension 198

8.3 Concentration in Vegetation 199

8.4 Concentration in Animals 204

References 206

Additional Reading 207

Problems 207

9 Exposure Assessment 210

9.1 Introduction 210

9.2 Dose 212

9.2.1 Chemical Dose 212

9.2.2 Radiological Dose 214

9.3 Contaminant Intake 215

9.3.1 Inhalation 216

9.3.2 Ingestion 216

9.3.3 Dermal Absorption 218

9.4 Dose Calculations 220

9.4.1 Chemical Dose Calculations 220

9.4.2 Radiological Dose Calculations 222

References 227

Additional Reading 228

Problems 228

10 Basic Human Toxicology 230

10.1 Introduction 230

10.2 Fundamentals of Anatomy and Physiology 231

10.2.1 Cellular Anatomy and Physiology 232

10.2.2 Cellular Mechanisms of Toxicity 237

10.2.3 Major Organ Systems 239

10.3 Mechanisms and Effects of Toxicity 250

10.3.1 Systemic Effects 250

10.3.2 Carcinogenic Effects 252

10.3.3 Teratogenic Effects 256

10.3.4 Hereditary Effects 258

References 259

Problems 261

11 Dose–Response and Risk Characterization 263

11.1 Introduction 263

11.2 Biological Basis of Dose–Response Modeling 264

11.3 Elements of Quantitative Dose–Response Analysis 266

11.3.1 Factors Affecting Toxicity 266

11.3.2 Quantification of Responses 272

11.3.3 Sources of Dose–Response Data 274

11.4 Dose–Response Modeling 279

11.4.1 Animal-to-Human Extrapolation 280

11.4.2 Dose–response models and high- to low-dose extrapolation 283

11.5 Risk Characterization 287

11.5.1 Margin of Exposure 287

11.5.2 Cancer Slope Factors and Unit Risk 289

11.6 Regulatory Implementation 290

11.6.1 The Benchmark Dose (BMD) Approach 291

11.6.2 Deterministic (Noncancer) Endpoints 293

11.6.3 Stochastic (Non-threshold) Endpoints 299

References 305

Additional Reading 308

Problems 308

12 Uncertainty and Sensitivity Analyses 311

12.1 Introduction 311

12.2 Types and Sources of Uncertainty 312

12.2.1 Qualitative and Quantitative Considerations 312

12.2.2 Sources of Uncertainty 313

12.2.3 Types of Uncertainty 314

12.3 Statistics Fundamentals 317

12.3.1 Random Variables and Distribution Functions 317

12.3.2 Characterization of PDFs 319

12.3.3 Determination of Distributions 320

12.4 Uncertainty Propagation 324

12.4.1 Sensitivity Analysis 325

12.4.2 Methods for Uncertainty Propagation 327

References 340

Problems 343

13 Screening and Computational Resources 348

13.1 Introduction 348

13.2 Screening Tools 349

13.2.1 COMPLY/COMPLY-R 349

13.2.2 DandD 350

13.2.3 Groundwater Transport Calculator 350

13.2.4 RSL and RML 350

13.2.5 RAIS PRG Calculators 351

13.2.6 RAIS Risk Calculators 351

13.2.7 SERAFM 351

13.3 Surface Water Transport 352

13.3.1 BASINS 352

13.3.2 EFDC 352

13.3.3 LADTAP II 353

13.3.4 QUAL2K 353

13.3.5 WASP 354

13.3.6 SMS 13 354

13.4 Groundwater Transport 354

13.4.1 3DFEMWATER/3DLEWASTE 354

13.4.2 EPACMTP 355

13.4.3 GMS 355

13.4.4 HELP 355

13.4.5 MODFLOW 6 356

13.4.6 PORFLOW 356

13.4.7 STOMP 357

13.4.8 TOUGHREACT 357

13.5 Atmospheric Transport 357

13.5.1 AERMOD 358

13.5.2 ALOHA 358

13.5.3 CTDMPLUS 359

13.5.4 HOTSPOT 359

13.5.5 HYSPLIT 359

13.5.6 PAVAN 360

13.5.7 RASCAL 360

13.5.8 XOQDOQ 360

13.6 Food Chain Transport 361

13.6.1 BASS 361

13.6.2 CAP-88 PC 361

13.6.3 GASPAR II 362

13.6.4 MILDOS 4 362

13.7 Transport, Exposure, and Consequence Assessment Tools 363

13.7.1 CalTOX 363

13.7.2 FRAMES-2.0 363

13.7.3 GENII 364

13.7.4 GOLDSIM 364

13.7.5 MEPAS 364

13.7.6 RESRAD 365

13.7.7 Risk Analyst 366

13.8 Geochemical Speciation Modeling 367

13.8.1 GWB 367

13.8.2 MINEQL+ 368

13.8.3 MINTEQA2/VISUAL MINTEQ 368

13.8.4 PHREEQC 368

13.9 Uncertainty 369

13.10 Other Useful Computational Resources 370

13.10.1 RESRAD-BUILD 370

13.10.2 SADA 370

13.10.3 VSP 370

13.10.4 BMDS 370

References 370

14 Case Studies 376

14.1 Introduction 376

14.2 PFAS 376

14.2.1 Background 377

14.2.2 Wilbur Earl Tenant’s Farm (EPA 2001, Bilott 2019) 377

14.2.3 Parkersburg and EPA (EPA 2001, Bilott 2019) 378

14.2.4 Epilogue 379

14.3 Arsenic in Drinking Water 380

14.3.1 Introduction 380

14.3.2 Risk Calculation 381

14.3.3 Risk Assessment 381

14.4 MCHM 382

14.4.1 Background 382

14.4.2 Calculation of MCHM Concentration 383

14.4.3 Epilogue 386

14.5 Releases from Rocky Flats 387

14.5.1 Introduction 388

14.5.2 1957 Plutonium Fire Basic Risk Assessment 388

14.5.3 Rocky Flats Comprehensive Risk Assessment 390

14.5.4 Comparisons for 1957 Plutonium Fire 391

14.5.5 Epilogue 393

References 393

Problems 395

15 Ethics, Stakeholder Involvement, and Risk Communication 396

15.1 Introduction 396

15.2 Ethics 397

15.2.1 Overview 397

15.2.2 Ethical Theories 397

15.2.3 Environmental Ethics 398

15.3 Stakeholder Involvement 400

15.3.1 Motivation 400

15.3.2 Potential Benefits and Detriments 401

15.3.3 Scope of Stakeholder Involvement 403

15.3.4 Legal Basis and Requirements 405

15.3.5 Methods and Approaches 405

15.4 Risk Communication 410

15.4.1 Scientific Basis 411

15.4.2 Practical Considerations 416

15.4.3 Unresolved Issues 417

References 418

Problems 422

16 Environmental Risk Management 423

16.1 Introduction 423

16.2 Risk Management Process 423

16.3 Risk Management Methods 424

16.3.1 Approaches to Risk Management 424

16.3.2 Fundamentals of Decision Analysis 426

16.3.3 Methods for Decision Analysis Under Certainty 433

16.3.4 Methods for Decision Analysis Under Risk 438

References 441

Problems 442

17 Environmental Laws and Regulations 444

17.1 Introduction 444

17.2 General Legal and Regulatory Structure for Environmental Protection 444

17.2.1 U.S. Governmental Structure 444

17.2.2 Regulatory Hierarchy 445

17.3 Major Federal Environmental Laws and Regulations 446

17.3.1 National Environmental Policy Act 447

17.3.2 CERCLA and SARA 449

17.3.3 Resource Conservation and Recovery Act 452

17.3.4 Toxic Substances Control Act 453

17.3.5 Clean Air Act 454

17.3.6 Clean Water Act 456

17.4 CERCLA Process 457

17.4.1 Remedial Actions Under CERCLA 457

17.4.2 Risk Assessment in the RI/FS Process 458

17.5 Additional Regulations 459

References 460

Problems 461

Appendix A Mathematical Tools 462

A. 1 Special Functions 462

A.1. 1 Dirac Delta Function 462

A.1. 2 Heaviside Unit Step Function 463

A.1. 3 Error Function and Complementary Error Function 463

A.1. 4 Gamma Function 464

A. 2 Laplace Transforms 465

A.2. 1 Definitions and Notation 465

A.2. 2 Basic Transforms and Properties 466

A.2. 3 Solution of Differential Equations with Laplace Transforms 467

A. 3 Exact Solutions to the One-Dimensional Contaminant Transport Equation 470

References 473

Additional Reading 474

Appendix B Degradation and Decay Parameters 475

Index 477

Quantitative Environmental Risk Analysis for

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    A Hardback by Robert A. Fjeld, Timothy A. DeVol, Nicole E. Martinez

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      View other formats and editions of Quantitative Environmental Risk Analysis for by Robert A. Fjeld

      Publisher: John Wiley & Sons Inc
      Publication Date: 31/08/2023
      ISBN13: 9781119675327, 978-1119675327
      ISBN10: 1119675324
      Also in:
      Mathematics

      Description

      Book Synopsis


      Table of Contents

      List of Variables with Common Example Units xvii

      Preface to Second Edition xxvii

      Preface to First Edition xxix

      1 Introduction 1

      1.1 Risk Analysis 2

      1.2 Risk 4

      1.3 Contaminants in the Environment 8

      1.4 Uses of Environmental Risk Assessment 9

      1.5 Risk Assessment Process 13

      1.5.1 Problem Statement 13

      1.5.2 System Description 14

      1.5.3 Risk Calculation 14

      1.5.4 Integration and Iteration 18

      References 19

      Additional Reading 20

      Problems 21

      2 Fundamental Aspects of Environmental Modeling 23

      2.1 Introduction 23

      2.2 Modeling Process 24

      2.2.1 Model Development 24

      2.2.2 Modeling Assurance 28

      2.2.3 Environmental Modeling in Phases 30

      2.3 Physical and Mathematical Basis for Risk Assessment Models 31

      2.3.1 Mass Balances 31

      2.3.2 Simple Models 40

      2.4 Contaminant Transport Equation 47

      2.4.1 Transport Processes 48

      2.4.2 Derivation of the Contaminant Transport Equation 49

      2.4.3 Zero-dimensional Solutions of the Contaminant Transport Equation 52

      References 58

      Additional Reading 59

      Problems 59

      3 Release Assessment 64

      3.1 Introduction 64

      3.2 Conceptual Model 65

      3.3 Contaminant Identification 66

      3.4 Emission-Rate Quantification 72

      3.4.1 Release Probability 74

      3.4.2 Contaminant Emission Rate 79

      References 83

      Additional Reading 84

      Problems 84

      4 Environmental Transport Theory 87

      4.1 Introduction 87

      4.2 One-Dimensional Solutions of the Contaminant Transport Equation 89

      4.2.1 One-dimensional Advection 89

      4.2.2 One-dimensional Advection and Dispersion 95

      4.3 Three-Dimensional Contaminant Transport 99

      4.4 Advanced Solution Methods 100

      4.4.1 Numerical Techniques 100

      4.4.2 Superposition Integral 101

      References 103

      Additional Reading 104

      Problems 104

      5 Surface Water Transport 107

      5.1 Introduction 107

      5.2 Types of Surface Water Bodies 109

      5.2.1 Rivers and Streams 109

      5.2.2 Lakes 111

      5.2.3 Reservoirs on Rivers 111

      5.2.4 Estuaries 111

      5.2.5 Oceans 111

      5.3 Sorption 112

      5.3.1 Distribution Coefficient 112

      5.3.2 Fraction Sorbed 116

      5.3.3 Inclusion of Sorption in Transport Models 117

      5.4 Transport Modeling 119

      5.4.1 Lakes 119

      5.4.2 Rivers and Streams 123

      References 128

      Additional Reading 129

      Problems 129

      6 Groundwater Transport 132

      6.1 Introduction 132

      6.2 Subsurface Characterization 134

      6.3 Saturated Flow in Porous Media 135

      6.3.1 Groundwater Speed and Direction 135

      6.3.2 Porosity and Hydraulic Conductivity 138

      6.3.3 Dispersion 138

      6.4 Sorption 143

      6.5 Subsurface Contaminant Transport Modeling 144

      6.5.1 Linear Equilibrium Model of Subsurface Contaminant Transport 144

      6.5.2 Saturated-Zone Transport Solutions 148

      6.6 Other Considerations in Groundwater Transport 153

      6.6.1 Vadose Zone Transport 153

      6.6.2 Colloidal Transport 155

      6.6.3 Transformations 155

      6.6.4 NonAqueous-Phase Liquids 156

      References 158

      Additional Reading 159

      Problems 159

      7 Atmospheric Transport 163

      7.1 Introduction 163

      7.2 Atmospheric Dispersion 164

      7.3 Atmospheric Transport Models 168

      7.3.1 Constant Emission Rate: Gaussian Plume Model 168

      7.3.2 Long-Term Averages 175

      7.3.3 Infinite Line Source 179

      7.3.4 Instantaneous Emission: Gaussian Puff Model 179

      7.4 Other Considerations 180

      7.4.1 Effective Release Height and Plume Rise 180

      7.4.2 Building Wake 181

      7.4.3 Release with Inversion Aloft 182

      7.4.4 Nonconservative Processes 184

      References 186

      Additional Reading 187

      Problems 187

      8 Food Chain Transport 191

      8.1 Introduction 191

      8.2 Concentration in Soil 195

      8.2.1 Conceptual Model 195

      8.2.2 Atmospheric Deposition 197

      8.2.3 Irrigation Deposition 197

      8.2.4 Atmospheric Resuspension 198

      8.3 Concentration in Vegetation 199

      8.4 Concentration in Animals 204

      References 206

      Additional Reading 207

      Problems 207

      9 Exposure Assessment 210

      9.1 Introduction 210

      9.2 Dose 212

      9.2.1 Chemical Dose 212

      9.2.2 Radiological Dose 214

      9.3 Contaminant Intake 215

      9.3.1 Inhalation 216

      9.3.2 Ingestion 216

      9.3.3 Dermal Absorption 218

      9.4 Dose Calculations 220

      9.4.1 Chemical Dose Calculations 220

      9.4.2 Radiological Dose Calculations 222

      References 227

      Additional Reading 228

      Problems 228

      10 Basic Human Toxicology 230

      10.1 Introduction 230

      10.2 Fundamentals of Anatomy and Physiology 231

      10.2.1 Cellular Anatomy and Physiology 232

      10.2.2 Cellular Mechanisms of Toxicity 237

      10.2.3 Major Organ Systems 239

      10.3 Mechanisms and Effects of Toxicity 250

      10.3.1 Systemic Effects 250

      10.3.2 Carcinogenic Effects 252

      10.3.3 Teratogenic Effects 256

      10.3.4 Hereditary Effects 258

      References 259

      Problems 261

      11 Dose–Response and Risk Characterization 263

      11.1 Introduction 263

      11.2 Biological Basis of Dose–Response Modeling 264

      11.3 Elements of Quantitative Dose–Response Analysis 266

      11.3.1 Factors Affecting Toxicity 266

      11.3.2 Quantification of Responses 272

      11.3.3 Sources of Dose–Response Data 274

      11.4 Dose–Response Modeling 279

      11.4.1 Animal-to-Human Extrapolation 280

      11.4.2 Dose–response models and high- to low-dose extrapolation 283

      11.5 Risk Characterization 287

      11.5.1 Margin of Exposure 287

      11.5.2 Cancer Slope Factors and Unit Risk 289

      11.6 Regulatory Implementation 290

      11.6.1 The Benchmark Dose (BMD) Approach 291

      11.6.2 Deterministic (Noncancer) Endpoints 293

      11.6.3 Stochastic (Non-threshold) Endpoints 299

      References 305

      Additional Reading 308

      Problems 308

      12 Uncertainty and Sensitivity Analyses 311

      12.1 Introduction 311

      12.2 Types and Sources of Uncertainty 312

      12.2.1 Qualitative and Quantitative Considerations 312

      12.2.2 Sources of Uncertainty 313

      12.2.3 Types of Uncertainty 314

      12.3 Statistics Fundamentals 317

      12.3.1 Random Variables and Distribution Functions 317

      12.3.2 Characterization of PDFs 319

      12.3.3 Determination of Distributions 320

      12.4 Uncertainty Propagation 324

      12.4.1 Sensitivity Analysis 325

      12.4.2 Methods for Uncertainty Propagation 327

      References 340

      Problems 343

      13 Screening and Computational Resources 348

      13.1 Introduction 348

      13.2 Screening Tools 349

      13.2.1 COMPLY/COMPLY-R 349

      13.2.2 DandD 350

      13.2.3 Groundwater Transport Calculator 350

      13.2.4 RSL and RML 350

      13.2.5 RAIS PRG Calculators 351

      13.2.6 RAIS Risk Calculators 351

      13.2.7 SERAFM 351

      13.3 Surface Water Transport 352

      13.3.1 BASINS 352

      13.3.2 EFDC 352

      13.3.3 LADTAP II 353

      13.3.4 QUAL2K 353

      13.3.5 WASP 354

      13.3.6 SMS 13 354

      13.4 Groundwater Transport 354

      13.4.1 3DFEMWATER/3DLEWASTE 354

      13.4.2 EPACMTP 355

      13.4.3 GMS 355

      13.4.4 HELP 355

      13.4.5 MODFLOW 6 356

      13.4.6 PORFLOW 356

      13.4.7 STOMP 357

      13.4.8 TOUGHREACT 357

      13.5 Atmospheric Transport 357

      13.5.1 AERMOD 358

      13.5.2 ALOHA 358

      13.5.3 CTDMPLUS 359

      13.5.4 HOTSPOT 359

      13.5.5 HYSPLIT 359

      13.5.6 PAVAN 360

      13.5.7 RASCAL 360

      13.5.8 XOQDOQ 360

      13.6 Food Chain Transport 361

      13.6.1 BASS 361

      13.6.2 CAP-88 PC 361

      13.6.3 GASPAR II 362

      13.6.4 MILDOS 4 362

      13.7 Transport, Exposure, and Consequence Assessment Tools 363

      13.7.1 CalTOX 363

      13.7.2 FRAMES-2.0 363

      13.7.3 GENII 364

      13.7.4 GOLDSIM 364

      13.7.5 MEPAS 364

      13.7.6 RESRAD 365

      13.7.7 Risk Analyst 366

      13.8 Geochemical Speciation Modeling 367

      13.8.1 GWB 367

      13.8.2 MINEQL+ 368

      13.8.3 MINTEQA2/VISUAL MINTEQ 368

      13.8.4 PHREEQC 368

      13.9 Uncertainty 369

      13.10 Other Useful Computational Resources 370

      13.10.1 RESRAD-BUILD 370

      13.10.2 SADA 370

      13.10.3 VSP 370

      13.10.4 BMDS 370

      References 370

      14 Case Studies 376

      14.1 Introduction 376

      14.2 PFAS 376

      14.2.1 Background 377

      14.2.2 Wilbur Earl Tenant’s Farm (EPA 2001, Bilott 2019) 377

      14.2.3 Parkersburg and EPA (EPA 2001, Bilott 2019) 378

      14.2.4 Epilogue 379

      14.3 Arsenic in Drinking Water 380

      14.3.1 Introduction 380

      14.3.2 Risk Calculation 381

      14.3.3 Risk Assessment 381

      14.4 MCHM 382

      14.4.1 Background 382

      14.4.2 Calculation of MCHM Concentration 383

      14.4.3 Epilogue 386

      14.5 Releases from Rocky Flats 387

      14.5.1 Introduction 388

      14.5.2 1957 Plutonium Fire Basic Risk Assessment 388

      14.5.3 Rocky Flats Comprehensive Risk Assessment 390

      14.5.4 Comparisons for 1957 Plutonium Fire 391

      14.5.5 Epilogue 393

      References 393

      Problems 395

      15 Ethics, Stakeholder Involvement, and Risk Communication 396

      15.1 Introduction 396

      15.2 Ethics 397

      15.2.1 Overview 397

      15.2.2 Ethical Theories 397

      15.2.3 Environmental Ethics 398

      15.3 Stakeholder Involvement 400

      15.3.1 Motivation 400

      15.3.2 Potential Benefits and Detriments 401

      15.3.3 Scope of Stakeholder Involvement 403

      15.3.4 Legal Basis and Requirements 405

      15.3.5 Methods and Approaches 405

      15.4 Risk Communication 410

      15.4.1 Scientific Basis 411

      15.4.2 Practical Considerations 416

      15.4.3 Unresolved Issues 417

      References 418

      Problems 422

      16 Environmental Risk Management 423

      16.1 Introduction 423

      16.2 Risk Management Process 423

      16.3 Risk Management Methods 424

      16.3.1 Approaches to Risk Management 424

      16.3.2 Fundamentals of Decision Analysis 426

      16.3.3 Methods for Decision Analysis Under Certainty 433

      16.3.4 Methods for Decision Analysis Under Risk 438

      References 441

      Problems 442

      17 Environmental Laws and Regulations 444

      17.1 Introduction 444

      17.2 General Legal and Regulatory Structure for Environmental Protection 444

      17.2.1 U.S. Governmental Structure 444

      17.2.2 Regulatory Hierarchy 445

      17.3 Major Federal Environmental Laws and Regulations 446

      17.3.1 National Environmental Policy Act 447

      17.3.2 CERCLA and SARA 449

      17.3.3 Resource Conservation and Recovery Act 452

      17.3.4 Toxic Substances Control Act 453

      17.3.5 Clean Air Act 454

      17.3.6 Clean Water Act 456

      17.4 CERCLA Process 457

      17.4.1 Remedial Actions Under CERCLA 457

      17.4.2 Risk Assessment in the RI/FS Process 458

      17.5 Additional Regulations 459

      References 460

      Problems 461

      Appendix A Mathematical Tools 462

      A. 1 Special Functions 462

      A.1. 1 Dirac Delta Function 462

      A.1. 2 Heaviside Unit Step Function 463

      A.1. 3 Error Function and Complementary Error Function 463

      A.1. 4 Gamma Function 464

      A. 2 Laplace Transforms 465

      A.2. 1 Definitions and Notation 465

      A.2. 2 Basic Transforms and Properties 466

      A.2. 3 Solution of Differential Equations with Laplace Transforms 467

      A. 3 Exact Solutions to the One-Dimensional Contaminant Transport Equation 470

      References 473

      Additional Reading 474

      Appendix B Degradation and Decay Parameters 475

      Index 477

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