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Chapter 19: Single Vertical Dikes Chapter 19: Single Vertical Dikes

Chapter 19: Single Vertical Dikes - PowerPoint Presentation

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Chapter 19: Single Vertical Dikes - PPT Presentation

Analysis and Evaluation of Pumping Test Data Second Edition Background Two types Igneous Sedimentary Igneous dikes are formed when magma rises through the subsurface and intrudes or cuts through preexisting strata ID: 265117

aquifer dike pumping times dike aquifer times pumping pumped observation early medium dikes method curve fitting late wells drawdown

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Slide1

Chapter 19: Single Vertical Dikes

Analysis and Evaluation of Pumping Test Data

Second EditionSlide2

Background

Two types:

Igneous

SedimentaryIgneous dikes are formed when magma rises through the subsurface and intrudes, or cuts through, pre-existing strata.Igneous dikes are normally coarse-grained due to slow rate of cooling.Weathered material may form sedimentary dikes when sediment fills a pre-existing crack.Sedimentary dikes are not as common as igneous dikes. Both types have high aspect ratios.

2Slide3

3Slide4

4Slide5

5Slide6

6Slide7

7Slide8

Background

Dikes can be highly permeable.

If a single, permeable, vertical dike bisects an aquifer whose

transmissivity is several times less than that of the dike, a specific flow pattern will be created when the dike is pumped. “Trough of Depression” similar to cone of depression

8Slide9

9Slide10

Assumptions and Conditions

The dike is vertical and of infinite extent over the length influenced by the test.

The

width of the dike is uniform and does not exceed 10 mThe flow through the fracture system in the dike is laminar (Darcy!)The uniformly fractured part of the dike can be replaced by a representative continuum to which spatially defined hydraulic characteristics can be assigned

The fractured part of the dike

is bounded above and below by impermeable

weathered zone and solid rock, respectively.

The

well fully penetrates the fractured part

of the dike and is represented by a plane sink;

flow through the dike towards the well is parallel

The hydraulically connected country rock aquifer is confined, homogeneous, isotropic, and of infinite areal extent.

All water pumped from the well comes from storage within the composite system comprised by the dike and aquifer.

The ratio of hydraulic diffusivity of the dike to the aquifer is not less than 25.

Well-losses and well-bore storage are

negligibe

.

10Slide11

Methods for Observation Wells

Partial solutions for the drawdown in observation wells:

Boonstra

– Boehmer’s curve fitting methodBoehmer – Boonstra’s curve-fitting method11Slide12

Boonstra –

Boehmer’s

Curve Fitting Method

To analyze the drawdown behavior for early and medium times along the pumped dike:12Slide13

Boonstra –

Boehmer’s

Curve Fitting Method

13Slide14

Example: Observation Well in the Dike, p. 284

14Slide15

Example: Observation Well in the Dike, p. 284

W

d

Td = 2.6 x 104 m3/dWdSd = 4.3 x 10-4

m

S T = 3.2 x 10

-4

m

2

/d

15Slide16

Boehmer

Boonstra’s

Curve-Fitting MethodTo analyze early and medium time drawdown behavior in observation wells drilled in the aquifer along a line perpendicular to the dike and even with the pumped well:

16Slide17

Boehmer –

Boonstra’s

Curve-Fitting Method

17Slide18

Example: Observation Well in the Aquifer, p. 285

18Slide19

Example: Observation Well in the Aquifer, p. 285

T/S = 2.7 x 10

5

m2/dCombining results from observation wells in the dike and aquifer, we get separate values for transmissivity and storativity of the aquifer:T = 9.3 m2

/d

S = 3.4 x 10

-5

19Slide20

Methods for Pumped Wells

For early and medium pumping times

For late pumping times

20Slide21

Early and Medium Pumping Times

At

early times

, all the pumped water is from dike storage (no water from aquifer storage). At medium times, most of the drawdown is governed by parallel flow from the aquifer into the dike (no water from dike storage).21Slide22

Early and Medium Pumping Times

Early time

:

Medium time:22Slide23

Early and Medium Pumping Times

23Slide24

Late Pumping Times

At late times, the flow in the aquifer is no longer considered parallel, but rather pseudo-radial.

Solution for the drawdown in the pumped well during late time:

For a pumping test of usual duration, this method can only be applied to fractures or thin dike structures.

24Slide25

Late Pumping Times

25Slide26

Example: pumped well, p. 285 - 286

26Slide27

Example: pumped well, p. 285 - 286

(

W

dTd) √(ST) = 425 m4/d3/2Substituting the values of dike width and transmissivity (Wd

T

d

) and aquifer

storativity

and

transmissivity

(ST) obtained with

Boonstra

Boehmer’s

method into

(

W

d

T

d

) √(ST

), the value is 465.

27