I'm assuming this is a slender well and the 13 5/8 is a surface casing string required to be cemented to surface to provide the well foundation structure and integrity demanded. Also that a conductor has been set at a preferred and deep enough depth such that cement will not broach at the conductor shoe.
The formations to be cemented, local knowledge and experience are central and key. Water depth also plays a big part. e.g. in a clay dominant environment simple class G will work fine (this has been proved time and time again in many deep and ultra deep water environments). Where silts/sands are presented formations strengths can be significantly weaker. In interbedded sequences hole condition may not be as effective as required and greater excesses etc may be required.
Offset wells generally should evidently present what works and does not for each region, set of environments conditions and situations one may have.
With standard class G cement and surface strings we simply pump a light weight slurry until we see affirm and confirm returns at the seabed, (there are several ways means tools and equipment to do this). There is no magic number or way to ascertain what volumes is required, as it will vary from job to job even in the same region. Even with these wells, at times is it difficult to be sure if cement returns are observed or not. (visibility can be a problem). An ROV tool and the expense of this may be a better way.
Once affirmed and assured we change to the heavier weight slurry volume that we then pump and displace around the surface casing shoe.
When stratigraphy and conditions present a risk of not getting cement back to seabed with conventional cement. This is the central and key issue to be sure of in each and every well. (e.g. on one well in 10 you drill through a large unconsolidated sand interval, then what works in a clay dominant sequence will not work in sand w.r.t cement) Then your options are
•Add ‘Sized particles’ cement
Advantages/disadvantages of each must be considered.
If you want to get good cement to surface.
Personally for me foam is too complicated for surface jobs and if there is no shallow flow (water/gas/hydrate) risks present then Lightweight microspheres
or beads slurries work best for the lead. Cement companies can provided hundreds of successful application of this.
There is a higher price but cement to seabed assurance is the price one may have to pay versus well fatigue problems or an APB channeling conduit that in theory could later result during later well0life cycle operating life.
If you are 'casing while drilling' this string to bottom. My understanding is that wellbore condition will be more likely better than conventional. (les prone to enlargement and washout). This should increase likeliness of too much cement needed and excesses required. In theory.
In practice as stated there are best practices mean methods and way to assure good cement reaches seabed and more importantly perhaps is spotted at the surface casing shoe.