Title | EAS446lec4-ppt - Lecture notes 4 |
---|---|
Author | Christian Vergara |
Course | Groundwater Hydrology |
Institution | The City College of New York |
Pages | 16 |
File Size | 987.7 KB |
File Type | |
Total Downloads | 80 |
Total Views | 140 |
lecture 4...
9/6/2017
Porosity ➢ Porosity is the fraction of a rock or soil that is occupied by voids (pores) ➢ n = 100 Vv/VT ➢ n = porosity (percentage) ➢ Vv = volume of void space (L3, cm3, m3) ➢ VT = unit volume of material including voids and solids
Matrix
Voids
Representative Elementary Volume
A minimum volume to adequately describe an aquifer parameter
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Classification of Rocks METAMORPHIC
Source of material
SEDIMENTARY
Molten materials in deep crust and upper mantle
Weathering and erosion of rocks exposed at surface
Rocks under high temperatures and pressures in deep crust
Rock-forming process
IGNEOUS
Crystallization (Solidification of melt)
Sedimentation, burial and lithification
Recrystallization due to heat, pressure, or chemically active fluids
Sedimentary Rocks ➢Clastics - composed of fragments, or clasts, of pre-existing rock ➢Carbonates ➢Evaporites
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Clastic and Carbonate Rocks Clastic Rocks Consist Primarily of Silicate Minerals Are Classified on the Basis of: - Grain Size - Mineral Composition
Carbonate Rocks Consist Primarily of Carbonate Minerals (i.e. Minerals with a CO32- Anion Group) Limestone - Predominately Calcite (Calcium Carbonate, CaCO3) Dolostone - Predominately Dolomite (Calcium Magnesium Carbonate, CaMg(CO3)2 )
Grain-Size Classification for Clastic Sediments
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Relative Abundances of Sedimentary Rocks Sandstone and conglomerate (clastic) ~11%
Limestone and dolomite ~14%
Siltstone and shale (clastic) ~75%
Average Detrital Mineral Composition of Shale and Sandstone Mineral Composition
Shale
Sandstone
Clay Minerals
60 (%)
Quartz
30
65
4
10-15
can be as high as 87%. ➢Pyroclastic deposits – Tuff – 14% - 40% ➢Ash – 50%.
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Factors Affecting Porosity ➢Primary ➢Particle sphericity and angularity ➢Packing
➢Sorting (variable grain sizes)
➢Secondary (diagenetic) ➢Cementing materials ➢Overburden stress (compaction) ➢Vugs, dissolution, and fractures
Roundness and Sphericity of Clastic Grains
Porosity
High
Low Very Angular Angular
SubSubAngular Rounded
Rounded
WellRounded
ROUNDNESS
Porosity
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Cubic Packing of Spheres Porosity = 48%
Porosity Calculations - Uniform Spheres ➢Bulk volume (8 spheres) = (2 2r)3 = 64r3 ➢Matrix (sphere) volume = 84/3r3 ➢Pore volume = bulk volume - matrix volume Pore Volume Bulk Volume Bulk Volume Matrix Volume Bulk Volume
Porosity
64 r3 8 4 / 3 r3 1 47.6% 3 64 r 2 3
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Rhombic Packing of Spheres Porosity = 27 %
Packing of Two Sizes of Spheres Porosity = 14%
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Grain-Size Sorting in Sandstone
Very Well Sorted
Well Sorted
Moderately Sorted
Poorly Sorted
Very Poorly Sorted
SORTING POROSITY
Dual Porosity in Sandstone FRACTURE
DISSOLUTION PORE
PORE FRAMEWORK
CEMENT
(QUARTZ)
MATRIX
FRAMEWORK (FELDSPAR)
0.25 mm
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Dissolution Porosity
Partially Dissolved Feldspar Pore Quartz Detrital Grain
Dissolution of Framework Grains (Feldspar, for Example) and Cement may Enhance the Interconnected Pore System This is Secondary Porosity
Thin Section Micrograph - Plane Polarized Light Avile Sandstone, Neuquen Basin, Argentina
Photo by R.L. Kugler
Pore-space Classification ➢Total porosity, nt =
Total Pore Volume Bulk Volume
➢Effective porosity, ne =
Interconnected Pore Space Bulk Volume
➢Of great importance; ➢contains the mobile fluid
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Comparison of Total and Effective Porosities ➢Very clean sandstones : ne nt ➢Poorly to moderately well -cemented intergranular materials: nt ne ➢Highly cemented materials and most carbonates: ne < nt
Typical Ranges in Porosity Material SEDIMENTARY Gravel, coarse Gravel, fine Sand, coarse Sand, fine Silt Clay
Porosity (%) 24-36 25-38 31-46 26-53 34-61 34-60
SEDIMENTARY ROCKS Sandstone Siltstone Limestone, dolomite Karst limestone Shale
5-30 21-41 0-40 0-40 0-40
CRYSTALLINE ROCKS Fractured crystalline rocks Dense crystalline rocks Basalt Weathered granite Weathered gabbro
0-10 0-5 3-35 34-57 42-45
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Porosity Determination
• Show calculations of porosity of unconsolidated materials on chalkboard
Sediment Classification ➢Sediments are classified on basis of size of individual grains ➢Grain size distribution curve ➢Uniformity coefficient Cu = d60/d10 ➢d60 = grain size that is 60% finer by weight. ➢d10 = grain size that is 10% finer by weight. ➢Cu = 4 => well sorted; Cu > 6 => poorly sorted.
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Grain-size Distribution Curve
Grain-size Distribution Curve
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Specific Yield and Specific Retention • Specific Yield (Sy): Ratio of the volume of water that drains from a saturated rock due to gravity to the total volume of the rock sample. • Specific Retention (Sr): Ratio of the volume of water a rock can retain against gravity drainage to the total volume of the rock. • n = Sy + Sr
Values of Specific Yield (%) Material Clay Sandy clay Silt Fine sand Medium sand Coarse sand Gravelly sand Fine gravel Medium gravel Coarse gravel
Maximum 5 12 19 28 32 35 35 35 26 26
Specific Yield Minimum 0 3 3 10 15 20 20 21 13 12
Average 2 7 18 21 26 27 25 25 23 22
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