Holocene Marine Deposits: modelling self-weight consolidation
This presentation is the property of its rightful owner.
Sponsored Links
1 / 43

1 School of Environmental Sciences, University of East Anglia, Norwich, NR4 7TJ, UK PowerPoint PPT Presentation


  • 98 Views
  • Uploaded on
  • Presentation posted in: General

Holocene Marine Deposits: modelling self-weight consolidation N.Keith Tovey 1 , Mike Paul 2 , Yap Chui-Wah 3 , and Simon Tovey 4. 1 School of Environmental Sciences, University of East Anglia, Norwich, NR4 7TJ, UK 2 School of Life Sciences, Heriot Watt University, Edinburgh,

Download Presentation

1 School of Environmental Sciences, University of East Anglia, Norwich, NR4 7TJ, UK

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


1 school of environmental sciences university of east anglia norwich nr4 7tj uk

  • Holocene Marine Deposits: modelling self-weight consolidation

    • N.Keith Tovey1 , Mike Paul2,

    • Yap Chui-Wah3, and Simon Tovey 4

1School of Environmental Sciences, University of East Anglia,

Norwich, NR4 7TJ, UK

2 School of Life Sciences, Heriot Watt University, Edinburgh,

EH14 4AS, UK

3 Singapore Meteorological Service, Changi Airport, Singapore 918141

4 101 Media Ltd, Keswick Hall, NR4 6TJ, Norwich, UK

  • Acknowledgements:

  • Geotechnical Engineering Office, Hong Kong

  • Civil Engineering Office, Hong Kong

  • Prof. Muneki Mitamura, Osaka

  • Carolyn Sharp, University of East Anglia


1 school of environmental sciences university of east anglia norwich nr4 7tj uk

Holocene Marine Deposits: modelling self-weight consolidation

1. Background to self-weight consolidation issues

2. Site Locations

3. Equilibrium Self-Weight Compaction

4. Existence of Omega Point?

5. True Sedimentation Rates

6. Modelling pore-pressure dissipation

7. Conclusions


1 school of environmental sciences university of east anglia norwich nr4 7tj uk

The Problem

  • What effect does self-weight consolidation (auto-compaction) have on our understanding of Marine Sequences?

  • What processes are involved?

  • What are the magnitudes of such effects?

  • How easy is it to correct for these effects?


1 school of environmental sciences university of east anglia norwich nr4 7tj uk

Why are such studies of relevance?

Interpretation of sequences is often done on a linear length basis.

i.e. two points in a sequence may be dated and a sedimentation rate estimated from dates anddistancesbetween the two points.

This does not allow for self-weight consolidation - strictly it should be done using a linear mass interpolation - rarely is this the case.

This is of particular importance in unravelling Holocene sequences where theapparentdeposition rate is of the order of 0.5 - 5 mm per year.

It is of significance in dating studies and also estimation of palaeo-water depths in tidal modelling etc.


1 school of environmental sciences university of east anglia norwich nr4 7tj uk

Holocene Marine Deposits: modelling self-weight consolidation

1. Background to self-weight consolidation issues

2. Site Locations

3. Equilibrium Self-Weight Compaction

4. Existence of Omega Point?

5. True Sedimentation Rates

6. Modelling pore-pressure dissipation

7. Conclusions


1 school of environmental sciences university of east anglia norwich nr4 7tj uk

Isopach of M1 Unit at Chek Lap Kok

Good quality continuous cores are available from Hong Kong to depths of 20+m


1 school of environmental sciences university of east anglia norwich nr4 7tj uk

Bothkennar Site, Scotland


1 school of environmental sciences university of east anglia norwich nr4 7tj uk

Simplified Sequence of Deposition

During last inter-glacial

deposition of unit M2

When sea level fell, surface layer was exposed to desiccation, oxidation, pedogenesis, etc.

~10m

M1

In the Holocene, the sea probably covered the area around 6000 - 8000 years ago

deposition of unit M1

T1

M2


1 school of environmental sciences university of east anglia norwich nr4 7tj uk

From core record, several different sequences have been identified

Classification after Yim

Present work models Holocene sequence


1 school of environmental sciences university of east anglia norwich nr4 7tj uk

Holocene Marine Deposits: modelling self-weight consolidation

1. Background to self-weight consolidation issues

2. Site Locations

3. Equilibrium Self-Weight Compaction

4. Existence of Omega Point?

5. True Sedimentation Rates

6. Modelling pore-pressure dissipation

7. Conclusions


1 school of environmental sciences university of east anglia norwich nr4 7tj uk

Clay

Sand

Consolidation in Marine Sediments

Two pore pressures to consider

  • Hydrostatic pressure changes from sea level changes are insignificant with regard to sediment compression.

  • Excess pore pressures are of critical importance.

Assumes sand body is continuous and “daylights” to sea bed -i.e. two-way drainage.

Single drainage - implies sand body is discontinuous and does not “daylight”


1 school of environmental sciences university of east anglia norwich nr4 7tj uk

Decompaction of Deposits

  • During deposition, successive layers will cause under-lying layers to compress

  • Dividing the total thickness by the time interval will lead to an under-estimation of true deposition rates.


1 school of environmental sciences university of east anglia norwich nr4 7tj uk

Decompaction of Deposits

  • If the Void Ratio is known, then the saturated bulk unit weight (i) in the ith layer is given by:-

  • where Gs is Specific gravity

  • The stress i at the mid point of the ith layer is given by:-

  • However, ei depends on v(i)


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    Decompaction of Deposits

    • First assume a value of ei (say 1.0) and evaluate i in the ith layer from:-

    • Now determine i at the mid point of

    • the ith layer:-

    • If the e -v relationship is known

    • determine a revised value of ei and

    • repeat above two steps iteratively.

    Must work down through layers not upwards!


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    e1 = 3.1269 - 0.841 log()

    R2 = 0.9954

    The parameter e1 = 3.1269 [void ratio at 1 kPa] and gradient of line Cc are used in the algorithms.


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    Holocene Marine Deposits: modelling self-weight consolidation

    1. Background to self-weight consolidation issues

    2. Site Locations

    3. Equilibrium Self-Weight Compaction

    4. Existence of Omega Point?

    5. True Sedimentation Rates

    6. Modelling pore-pressure dissipation

    7. Conclusions


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    This is an interesting result:

    The relationship holds over all three units!

    It means that we only need to determine Cc


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    However, an even more interesting correlation emerges

    e1 = 0.8154 + 2.8473 Cc

    It appears that data from Hong Kong and Scotland follow same trend


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    Do you believe in Omega?

    Omega Point


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    Omega Point

    If this relationship were to hold more generally, then we can predict e1 from Cc


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    M2

    M1

    Gassy sediments

    T1

    Inclusion of many more data points still confirms a relationship

    e1 = 0.8662 + 2.7111 Cc

    R2 = 0.9775


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    Holocene Marine Deposits: modelling self-weight consolidation

    1. Background to self-weight consolidation issues

    2. Site Locations

    3. Equilibrium Self-Weight Compaction

    4. Existence of Omega Point?

    5. True Sedimentation Rates

    6. Modelling pore-pressure dissipation

    7. Conclusions


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    For typical Holocene deposits, the true sedimentation rate may be up to 2+ times the raw sedimentation rate.


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    What is a typical value for sedimentation rate?

    • Assume 10 m Holocene sequence and Cc approximately 1.0.

    • If sea level rose about 6500 years ago, then raw sedimentation rate is about 1.5 mm per year

    • But after correction, the true rate for the Hong Kong M1 unit is > 3 mm per year.

    • Any modelling must use layers no thicker than this.


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    A Problem

    • Measurement of Cc requires special testing

    But estimates are available using Liquid Limit measurements


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    An alternative if neither consolidation or liquid limit data are not available

    -valid for Holocene - i.e. degree of saturation is 100% .

    Assume a detailed moisture/water content can be measured at moderate/high resolution.

    • Now determine i at the mid point of the ith layer:-

    • e -v can be plotted directly and hence Cc can be deduced.


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    Porosity varies significantly in uppermost 2m.

    Void ratio of 2 is equivalent to a porosity of 0.667

    Void ratio of 4 is equivalent to a porosity of 0.8


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    The values of moisture content are almost always above the mean prediction suggesting a more open structure than expected


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    Holocene Marine Deposits: modelling self-weight consolidation

    1. Background to self-weight consolidation issues

    2. Site Locations

    3. Equilibrium Self-Weight Compaction

    4. Existence of Omega Point?

    5. True Sedimentation Rates

    6. Modelling pore-pressure dissipation

    7. Conclusions


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    • Equilibrium self-weight consolidation analysis assumes that after each increment all excess pore pressure is dissipated.

    • Conventional wisdom suggests that with all normal sedimentation rates, dissipation will be complete within an annual deposition cycle.

    • This is true provided drainage paths are NOT long.

    • However, will this be true for deep sequences where drainage paths are long?


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    The governing equation for dissipation of pore pressure (u) by:-

    where cv is the coefficient of consolidation and may be found from:

    where k is permeability and mv is determined from Cc

    To proceed we need a relationship to determine k


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    There appears to be a relationship between void ratio and permeability

    However, this relationship is likely to vary from one location to another.


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    The dynamic model

    • Properties of each layer vary as a result of self-weight consolidation.

    • For a given value of Cc determine

      • equilibrium void ratio and hence unit weight and stress for each layer

      • permeability from e - k relationship

    • and hence estimate

      • mv

      • cv.

    If data exists, Cc can also be allowed to vary between layers


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    Choice of initial layer thickness

    The void ratio varying rapidly in top 1 - 2m, and layer thickness must reflect this and also be able to model and annual accumulation.

    > Layer thicknesses ~ 3mm should be used.

    > ~ 3000 layers

    • A Problem:

      • simple analysis using FTCS method will require time steps < 100 secs for stability - very computer intensive.

      • Crank Nicholson method is stable irrespective of time step, although 100 iterations per year are still needed for spatial precision.


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    Crank-Nicholson requires inversion of matrices which have the number of rows and columns equal to number of layers.

    • Solution - use layer thickness which progressively double at greater depths.

    • Current model starts with 150 layers

    • But, number of layers increases each year, and time to model 500 years becomes very long ~ 10 - 20 hours with modern computers.

    • However trends can be seen


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    Results of pore pressure dissipation over first 10 years

    - annual increment as determined by equilibrium analysis

    Below 3m there is no dissipation in year 1. There is evidence of a small amount of dissipation after 10 years.


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    Results from 10 - 500 years - assume Holocene depth - 10m

    Partial dissipation is taking place at base of Holocene - dissipation lines are getting closer together


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    The presence of excess pore pressures would lead to higher water contents than predicted by steady state analysis

    Could this be difference be a result of bio-turbation?

    Unlikely to be the sole cause as deviation increases with depth just as residual pore pressures do.


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    Recent results from Japan

    • 18 consolidation tests were done on a single borehole

    • different values of Cc were measured.

    • modify steady state analysis to allow for this variation

    • predicted and actual water are similar at base of Holocene

    • implies full dissipation of pore pressure > double drainage.


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    Holocene Marine Deposits: modelling self-weight consolidation

    1. Background to self-weight consolidation issues

    2. Site Locations

    3. Equilibrium Self-Weight Compaction

    4. Existence of Omega Point?

    5. True Sedimentation Rates

    6. Modelling pore-pressure dissipation

    7. Conclusions


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    Conclusions

    • raw sedimentation rates significantly underestimate true sedimentation rates by a factor of 2 or more

    • from consolidation theory, estimates of true porosity and hence sedimentation rates are possible

    • excess pore pressures arising from annual deposition remain at the end of the year in sequences thicker than about 2m

    • pore pressures continue to build up each year

      • > higher than predicted equilibrium moisture contents

    • the excess moisture content distribution gives an indication of drainage conditions prevailing.


    1 school of environmental sciences university of east anglia norwich nr4 7tj uk

    The future

    • correlation of excess pore water pressures with excess water content - does this explain the full difference between steady state model and actual data points?

      • > need to model over the whole Holocene period

    • develop model to include pre-Holocene layers

      • > estimates of palaeo-hydrology

    And finally:

    The research in this paper is a direct consequence of discussions held at the 2nd Annual Meeting of IGCP-396 in Durham UK (1997).


  • Login