12.747 Lecture 18: Section 1:

1-D Models in Sedimentary Systems

File last modified 26 November 1996


18.1 General Theory

We will be talking about the process of diagenesis, i.e. the sum total of all processes that bring about changes to sediments after they have been deposited. This includes everything from compaction and bioturbation to metamorphism and weathering after uplift. But of particular interest to marine geochemists, chemical oceanographers, biological oceanographers, marine geologists, etc. is Early Diagenesis, that is to say, changes that occur during burial and down to a few hundred meters.

18.1.1 Diagenesis in a sinking coordinate frame

It is important to keep in mind that in sedimentary diagenesis, your coordinate frame is sinking. For example, consider some property of the sediment column, p:

where z represents depth (positive downwards) and t represents time. But which level do we choose for ?a particular layer within the sediment column? or the seawater-sediment interface? We can write:

where is simply the rate of deposition without any of the complicating factors. Since, with the exception of paleo-types, we are interested in processes operating on time scales commensurate with depths no greater than a few hundred meters, we generally choose the seawater-sediment interface as z=0, positive downward. In this fashion equation (18.1.2) becomes:

Now if we assume (for the moment) that is constant with time and depth, we can examine two scenarios that cover most of the processes we are interested in: burial without diagenesis and burial with diagenesis.

In the first case, no diagenesis, and we can write:

and we are talking about historical changes that occurred at the time of deposition. If you look at Fig. 18.1.1 the consequences are displayed.

Figure 18.1.1 shows a situation that typically applies to the solids of the sedimentary column.

Now suppose the sedimentation remained constant, historically, but the property in the sediment column underwent chemical changes as it was buried, i.e. with the passage of time. This gives rise to the concept of steady state diagenesis:

which implies:

that is to say, the source at the seawater-sediment interface has been historically constant. Figure 18.1.2 displays the consequences of this situation.

18.1.2 The general diagenetic equation

When we consider the mass balance of material in a box of sediment as simply the difference between what goes in, what goes out, and what is produced/consumed on the premises we can write:

where is concentration of component i per volume of total sediment, Fi is the flux of component i per unit area per unit time, and Ri is the rate of diagenetic change in mass per total sediment volume per unit time. Ans as we know, fluxes can come in two forms: diffusive and advective:

where in this case v is the flow relative to the seawater-sediment interface. For solids , that is, the rate of burial. For pore waters, v is generally different than . Now we can put it all together and obtain:

which is the general diagenetic equation and it should look familiar by now.


GoTo Next Section
GoTo Lecture TOC
GoTo 12.747 TOC


The text, graphics, and other materials contained in this webpage and attached documents are intended solely for scholarly use by the scientific and academic community. No reproduction, re-transmission or linking of this page to any other page without the author's expressed written permission is permitted.
© 1998, 2000 -- David M. Glover, WHOI --