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Specific Retention
Fetter 4.2 & 4.3
Few naturally occurring sediments contain equidimensional spheres. If sediments are
well sorted and well rounded, their porosity will range between 25 - 50%. If they
are mixed, the porosity will be lowered, because the smaller particles fill the voids
between the larger ones. The wider the range in grain sizes, the lower the resulting
porosity. So, for our Wooster example we had little variation in grain sizes, resulting
in a high ne.
| S & G mixed | 20-35% |
| Glacial fill | 10-20% |
| Silt | 35-50% |
| Clay | 33-60% |
Geological processes of running water, wind & glacial action create a wider range
of grain sizes, shapes and orientations.
| i.e., the Wooster sample represents outwash |
| - sorted glacial meltwater deposits. |
Sedimentary Rocks -
are formed from unconsolidated sediments through aprocess known as diagenesis. Diagenesis occurs when a sediment that is a product
of weathering or chemically precipitated material is buried. During burial, the weight
of the overlying materials causes compaction and movement of fluids which cement
the grains and reduce pore volume. Therefore, diagenetic processes tend to reduce
the porosity of the original sediments.
Ground water that is found between the grains is occupying the Primary Porosity
of the rock. Often rocks may become fractured. Fractures may represent very small
joints or large faults. Ground water stored in fractures is known as Secondary Porosity.
Ground water flowing through fractures may enlarge them by solution of material,
particularly in limestone, dolomites & chemical sedimentary rocks. These rocks are
composed of calcite CaCO3 and dolomite CaMgCO3, along with gypsum CaSO4,
precipitated from solution and may easily re-enter the solution.
Some limestones, have dissolution cavities large enough to allow someone tall enough
to walk through them, for example Carlsbad Caverns or Mammoth Caves.
Plutonic (intrusive igneous) Rocks
and Metamorphic Rocks (thoseformed by applying heat and pressure to pre-existing rocks) typically have low porosity.
These rocks are not made by sedimentary processes, but are formed by sets of
interlocking grains having virtually no pores, or very little primary porosity. Often, if these
rocks are exposed at the earths surface, weathering an fracturing create secondary
porosity as large as 30 - 60 %.
Volcanic (extrusive) Rocks
- igneous rocks formed by extrusive processes aresimilar in chemical composition to plutonic rocks. Both rocks cool from molten rock,
but volcanic rocks cool at the surface of the earth resulting in radically different porosities
from plutonic rocks.
Rapid cooling of volcanic rocks produces shrinkage cracks. If degassing occurs during
cooling, vesicles may form. Although these rocks may have many pores, most of them
are unconnected. Lava tubes may be produced as well.
i.e., Place a piece of pumice in water. It will float due to the trapped air.
SUMMARY OF RANGE OF POROSITY VALUES |
Fetter 4.3 |
| ROCKS: | |
| Fractured Basalt | 5 - 50% |
| Karst Limestone | 5 - 50% |
| Sandstone | 5 - 30% |
| Limestone, Dolomite | 0 - 20% |
| Shale | 0 - 10% |
| Fractured crystalline rocks | 0 - 10% |
| Dense crystalline rocks | 0 - 5 % |
| Pumice | up to 87% |
Although the porosity of a rock controls the quantity of water that may be stored, the
effective porosity is the porosity available for fluid flow.
Effective Porosity porosity availability for fluid flow. |
As water drains through pores, not all of the water will move. Specific yield (Sy) is
the ratio of the volume of water that drains from a saturated rock (due to gravity ) to
the total volume of the rock.
Water molecules cling to pore surfaces due to surface tension of the water. Gravity
exerts a force on the water film pulling some of it away from a grain and moves downward.
The remaining water film on the grain will be thinner, with a greater surface tension, so
that the force of gravity on the water particle will be equaled by the surface tension force,
stopping gravity, drainage.
The Specific Retention (Sr) of a rock or soil is the ratio of the volume of water a
rock can retain against gravity to the total volume of the rock.
Therefore, the total porosity is equal to the volume or water that a rock will yield
by gravity drainage (Sy) and the volume held by surface tension (Sr) or:
n=Sy + Sr |
Specific retention is greatest with the smallest grain sizes. For instance, a clay may
have a porosity of 50% and a Sr (specific retention) of 48%. That means that if
you have 1
of clay, .5
will be water and only .02
of that water will drain by
gravity.![]()
| Sy approximates Effective porosity |
Effective Porosity |
||
| Sed size | Specific Yield % (avg) |
Range |
| Clay | 2% |
0 - 5% |
| Silt | 18% |
3 - 19% |
| Med. Sand | 26% |
15 - 32% |
| Fine Sand | 25% |
21 - 35% |
| Course Gravel | 22% |
12 - 26 % |
Maximum Sy occurs in sediments in the med. to coarse sand size range.
Sy may be determined in the lab. A sample of sediment of known volume is fully
saturated. This is usually done in a soil column which is slowly flooded from the
bottom, allowing the air to escape upward. The water is then allowed to gravity
drain from the column. The ratio of the volume of water drained to the volume
of the soil column is the specific yield.
Specific yield in the field is often estimated by a pumping test. We will return to
specific yield when we discuss aquifer analysis methods.