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7 Introduction 8 Ground-Water Management Modeling 10 Background 10 The response matrix method 10 General Problem Formulation for Linear and Quadratic Programs 13 Linear and quadratic objectives 13 Constraints and system linearity 14 Time parameters -15 Stress and response 16 Drawdowns 16 Gradients and velocities 16 Head, gradient, and velocity definitions 18 The MPS file and the solution 19 Problem Formulation with AQMAN 20 Objective function 20 Linear objective 20 Quadratic objective 20 Constraint set 23 Pumping and recharge constraints 23 Head constraints 24 Gradient and velocity constraints 26 Head and velocity definitions 30 Nonlinearities 34 Time parameters 34 The unit stress and scaling 36 Quadratic objective 37 The MPS file 37 User changes 37 MPS format conventions 37 Naming conventions 41 Size of the MPS file 42 Program Description 43 A^aiu " " " "" " " """ "" """ " "" "" " """ """ """ " """" """ "" " """" "" " "" """"»" "U Subroutine PRE 43 Subroutine CHKDAT45 Subroutine GRADS 45 Subroutine MPSFMT . . _.45 Subroutine QUAD 45 Subroutine READ1 46 Subroutine WRITE 1 46 Data Files 47 Sample Problem 48 References 55 Appendix I, Definition of Variables57 Appendix II, Date File Instructions 61 Appendix III, Quadratic Objective Subroutine FUNOBJ67 Appendix IV, Data Files for Sample Problems76 Appendix V, AQMAN Program List 94

AQMAN; linear and quadratic programming matrix generator using two-dimensional ground-water flow simulation for aquifer management modeling