CHAPTER 7: REGIONAL GROUNDWATER FLOW
CHAPTER 7: REGIONAL GROUNDWATER FLOW
EASC 304 Lecture Notes
Gwenn Flowers, Simon Fraser University
Courtesy of course creator, Diana Allen
1. Steady-State Regional Groundwater Flow in Unconfined Aquifers
Steady-State Assumptions: Made to analyze regional flow systems, implying minimal fluctuations in the water table.
This leads to a stable condition in groundwater flow characteristics over time.
Geometric Orientation:
The analyzed section is perpendicular to the strike of parallel ridges and valleys.
Geological materials are assumed to be homogeneous and isotropic.
Base Conditions:
An impermeable base is essential (e.g., crystalline basement rock).
2. Groundwater and Surface Water Dynamics
Groundwater Divides: Symmetric characteristics result in the establishment of groundwater divides.
These divides may coincide with surface water divides, indicating a relationship between surface and groundwater systems.
Water Table Modelling:
The water table can coincide with the ground surface in valleys, behaving as a subdued replica of surface topography.
Hydraulic Head:
Head on any equipotential line corresponds to water table elevation where the equipotential intersects, with the condition that Ψ = 0 at the water table, leading to the relationship h = z (hydraulic head equals elevation).
Flow Direction:
Groundwater flows from higher elevations (recharge areas) to lower elevations (discharge areas), with an upward flow component observed in valleys.
3. Recharge and Discharge Areas
3.1 Recharge Area (labeled as DE)
Groundwater has a downward flow component; hydraulic head decreases with depth.
Typically located on topographic highs, with water table positioned at some depth.
Characteristics:
Net saturated flow directed away from the water table.
Low concentrations of Total Dissolved Solids (TDS); isotopically young water (dating using H-3, C-14).
3.2 Discharge Area (labeled as AE)
Exhibits an upward flow component; hydraulic head increases with depth.
Typically located near topographic lows, with a shallow water table, sometimes above surface.
Characteristics:
Flow directed toward the water table.
Features include seepage (e.g., springs) and vegetation indicative of phreatophytes.
3.3 Hinge Line (labeled as E)
Separates the recharge area from the discharge area, crucial for understanding groundwater flow dynamics.
4. Mountain Block Recharge and Related Concepts
Mountain Block Recharge (MBR): Significant in estimating groundwater movement.
Baseflow (BF): Reflects the seepage of groundwater into surface water bodies.
Recharge to Water Table (R): Indicates the processes replenishing the water table in various geographic settings.
Example: Lambly (Bear) Creek, located on the west side of Okanagan Lake, serves as a study reference (Welch, PhD 2012).
Mountain Front Recharge (MFR): Explains additional recharge mechanisms at the mountain front interface.
5. Tóth's Theoretical Framework
Initial Findings: Tóth (1963) was the pioneering researcher on the impact of hummocky topography on regional groundwater flow.
Flow Systems Described:
Local Flow System: Typically associated with local relief highs.
Intermediate Flow System: Acknowledges the transition between local and regional systems.
Regional Flow System: Characterized by low relief features and large areas of influence.
6. Topographic Effects on Regional Flow Systems
Uniform Water Table Characteristics (Figure (a)):
Displays a gentle incline; single flow system with all upland designated as recharge area.
Hinge line located on the valley wall.
Undulating Water Table Characteristics (Figure (b)):
Water table reflects the surface topography, especially visible in glaciated terrains.
Represents numerous groundwater cells (local flow systems) with recharge/discharge dynamics:
Proximal in shallow cells; distal in deeper regional flow systems.
7. Geological Effects on Regional Flow Systems
Heterogeneity Impact: The presence of geological variability influences groundwater behavior significantly.
Scenarios Presented:
(a) Gently sloping water tables, with valley on left-hand side and a high K layer at depth (note tangent law).
(b) Higher K contrast results in equipotential lines that are nearly horizontal in the upper unit.
(c) The effect of hummocky terrain truncating local systems.
(d) High K units can create discharge areas within the middle of the geographical domain.
(e) Layered inclined heterogeneity fosters complexity in equipotential and flow lines.
Key Takeaway: The interaction of geology and surface topography plays a pivotal role in defining local and regional groundwater flow systems.
8. Quantifying Flow Dynamics
Subsystem Flow Contribution: Regional flow from subsystems A and B contributes to discharge into the major valley.
Calculation of Flow Rates:
$Q_A = 2.8 imes 10^{-3} ext{ m}^3/ ext{s}$
$Q_B = 2.0 imes 10^{-4} ext{ m}^3/ ext{s}$
These calculations require known gradients, hydraulic conductivity (K) values, and the dimensions of the domain involved.
9. Transient Flow in Regional Groundwater Systems
Dynamic Equilibrium Considerations: Groundwater systems are often viewed as being in dynamic equilibrium.
Perturbations: Any disturbances to this equilibrium result in adjustments in the water table position and flow directions.
Restoration to New Equilibrium: This transition to a new equilibrium can occur over varying timelines ranging from days to centuries.
10. Non-Cyclical Groundwater
Definition and Types:
Non-cyclical groundwater refers to water that is not part of the hydrologic cycle, encompassing:
Fossil Water: Groundwater that has been isolated from the atmosphere for an extended duration.
Connate Water: Pore water that has been trapped during geological burial processes.
Magmatic Water: A unique category of water that may never have been in contact with the atmosphere, offering insight into geological processes.