Aquifer Test Solutions, 1st ed. 2017
A Practitioner’s Guide with Algorithms Using ANSDIMAT

This book, designed as a handbook, provides a systematic treatment of analytical solutions describing groundwater flow during aquifer tests. The book integrates the majority of known solutions from well hydraulics and subsurface flow theory, starting with pioneering work from the early 20th century up to the most recent publications in scientific journals. The book includes about 300 transient solutions covering a wide range of aquifer test scenarios and hydrogeological conditions. All the solutions have been thoroughly tested and implemented in the multifunctional ANSDIMAT software. The book comprises three parts and is supplemented by appendices.

The first part of the book is dedicated to basic analytical relationships referring to pumping tests with constant discharge rate. Conceptual models describe confined, unconfined, confined?unconfined, inhomogeneous, and fracture-porous aquifers, as well as leaky aquifers and multi-layer aquifer systems. Complicating factors such as flow boundaries, aquifer anisotropy, non-uniform aquifer thickness, partial well penetration, wellbore storage and skin, the effect of capillary forces are also considered.

The second part focuses on complex pumping test settings and well system configurations. Analytical solutions are presented for pumping from a horizontal or inclined well, constant-head tests, multi-well variable-discharge tests, simultaneous pumping from adjacent aquifers and dipole flow tests. Detailed descriptions are given for slug and recovery tests.

The third part of the book contains algorithms for evaluating hydraulic characteristics using analytical and graphical methods, and is supplemented by the ANSDIMAT tool. This software includes solutions for some practical engineering-hydrogeological problems, in particular, the assessment of aquifer characteristics by data on groundwater level monitoring and the evaluation of water inflow into open pits.

The book is supplemented with appendices in which hydrogeologists can find a vast body of useful information including mathematical descriptions of the majority of analytical functions used in the book, their plots and possible approximations.

Audience:

The book is useful for hydrogeologists (students, engineers and researchers) engaged in groundwater flow studies, aquifer test analysis, environmental geologists and civil engineers. Experts in water flow numerical modeling and programmers developing software for aquifer tests will find valuable information in this book, which can also be used for educational and research purposes.

Introduction

Chapter 1.         Basic analytical solutions

1.1.       Confined aquifer

1.1.1.    Aquifer of infinite lateral

1.1.2.    Semiinfinite aquifers

1.1.3.    Strip aquifers

1.1.4.    Wedge-shaped aquifers

1.1.6.    Rectangular aquifers

1.1.7.    Circle aquifers

1.2.       Point source: partially penetrating well in confined aquifer

1.2.1.    Aquifer infinite in plane and thickness

1.2.3.    Aquifer bounded in plane or thickness

1.3.       Linear source: partially penetrating well in confined aquifer

1.3.1.    Aquifer infinite in plane and thickness

1.3.2.    Aquifer semiinfinite in plane

1.3.3.    Aquifer bounded in plane or thickness

1.3.4.    Semiinfinite and strip aquifer for linear source

1.4.       Unconfined aquifer 

1.4.1.    Aquifer of infinite lateral extent

1.4.2.    Semiinfinite and strip aquifer

1.5.       Leaky aquifer

1.5.1.    Leaky aquifer with constant hydraulic head in adjacent aquifer

1.5.1.1. Aquifer of infinite lateral extent

1.5.1.2. Semiinfinite aquifers

1.5.1.4. Circle aquifers

1.5.2.    Leaky aquifer with alternating hydraulic head in adjacent aquifer

1.5.3.    Leaky aquifer with allowance for aquitard storage

1.5.4.    Leaky aquifer anisotropic on the vertical plane

1.6.1.    Two-layer unconfined aquifer

1.6.2.    Two-layer circle confined aquifer

1.7.     Stratified aquifer systems

1.7.1.   Three-layer system

1.7.2.   Two-layer system

1.8.      Areally inhomogeneous aquifer

1.8.1.   Aquifer with linear discontinuity

1.8.2.   Radial patchy aquifer

1.8.3.   Solutions for complex conditions

1.9.       Pumping tests near streams

1.9.1.    Shestakov’s solution

1.9.2.    Hantush’s solution

1.9.3.    Hunt’s and Zlotnik–Tartakovsky’s solutions

1.10.     Sloping and wedge-shaped aquifer

1.11.     Fracture-porous reservoir

1.11.1.  Moench’s solutions

1.11.2.  Pumping well intersecting a single vertical fracture

1.11.3.  Pumping well intersecting a single horizontal fracture

Chapter 2.         Analytical solutions for complicated well system configurations and pumping test scenarios

2.1.       Horizontal or slanted pumping well

2.1.1.    Confined aquifer <2.1.2.    Unconfined aquifer

2.1.3.    Leaky aquifer

2.2.       Constant-

2.2.1.    Confined aquifer

2.2.2.    Unconfined aquifer

2.2.3.    Circle aquifer

2.2.4.    Radial patchy aquifer

2.3.       Dipole flow test

2.3.1.    Horizontal dipole

2.3.2.    Vertical

2.4.       Simultaneous pumping from adjacent leaky aquifers

2.5.       Sl

2.5.1.    Cooper’s and Picking’s solutions for fully penetrating well in confined aquifer

2.5.2.    Yeh–Yang’s solutions for a pumping well with skin-effect

2.5.3.    Bouwer-Rice’s solution for partially penetrating well in unconfined aquifer

2.5.4.    Hvorslev’s solutions accounting for wellbore construction

&nbs

2.6.       Multi-well pumping tests with constant discharge rate

2.6.1.    Fully penetrating well in confined aquifer

2.6.2.    Point source: confined aquifer of infinite in plane and thickness

2.7.       Pumping tests with variable discharge rate

2.7.1.    Single pumping well with variable discharge rate

2.7.2.    System of pumping wells with variable discharge rate

2.8.       Recovery te

2.8.1.    Single pumping well with variable discharge rate

2.8.2.    System of pumping wells with constant discharge rate

2.8.3.    Variable discharge rate

 Chapter 3.         Aquifer tests analysis methods

3.1.       Graphical methods

3.1.1.    Straight line methods

3.1.2.    Horizontal line methods

3.1.3.    Type line

3.2.       Method of bisecting line

3.3.       Matching methods

3.3.1.    Direct method (manual trial and error)

3.3.2.    Inverse method for sensitivity analysis

 <

Annex 1.           Aquifer flow parameters

Annex 2.           Wellbore

Annex 3.           Boundary conditions and image

Annex 4.           Equations for

Annex 5.           Application of DELAY2, DP_LAQ, WTAQ2, WTAQ3, WHI, WTAQ v.2

Annex 6.           Application of UCODE_2005

Annex 7. &nb

Annex 8.           ANSDIMAT software: short

Conventions

Offers a huge collection of tested analytical solutions, both in hard copy and as a dialog-oriented programmed tool

Increases the accuracy, reliability and efficiency of field data analysis for complicated aquifer and well-system configurations

Offers a must-have guide to developing new software related to the hydraulics of wells and subsurface flow

Includes supplementary material: sn.pub/extras