Prefabricated vertical drains

Drain spacing you can put your name on.

Design, simulate and back-analyse prefabricated vertical drains for the layered profile you actually have — and get a P10–P90 band you can defend, not one false-precision number.

  1. 1 · GroundEvery layer as it is, with smear, vacuum, staging and creep.
  2. 2 · TargetThe degree of consolidation you need, and the day you need it.
  3. 3 · AnswerThe spacing band, and a report you can issue.

A unit-cell solver resolved in radius and depth, in your browser, beside the software you already use. Once built, calibrate it against your settlement plates and piezometers.

See a real report first — the worked Design example (PDF, 11 pages) →

Sign-up opens with the public launch. Early-access accounts are set up by hand, with the example projects and the full user guide.

S = 1,141 mmLAYER 1 · SOFT ESTUARINE CLAYLAYER 2 · FIRM CLAYDRAINING SANDEMBANKMENT + SURCHARGE

Slide 1 of 3 · The unit cell and a design result

ILLUSTRATIVE RUN · SQUARE100/100 met

Us = 90 % at t = 365 d

One run of the worked Design example. The sampling seed travels in the project file, so opening it and pressing Calculate returns these same three numbers.

P10 · design basis
1,141 mm
P50 · median
1,337 mm
P90 · fast soil
1,609 mm

What it does not do. PVDCal solves consolidation in the unit cell around one drain. It does not assess slope or embankment stability, lateral spreading and deformation, or ground outside the treated area. Those remain separate analyses. The full list of limits.

01 — One soil model, three questions

Design, simulate, and learn from the field

The same solver runs in three directions, so a design and the back-analysis that later checks it share one set of physics.

TASK 1

Design

Give a target degree of consolidation and a date. The tool searches the radius of influence and returns the spacing that meets it, for square and triangular patterns.

Square-pattern spacing table: radius of influence and spacing at P10, P50 and P90
The spacing table, with the P10 row marked as the conservative basis.A screenshot of the application. See the same output with its inputs.
How the band is produced →

TASK 2

Simulate

Give a spacing. The tool returns settlement and degree of consolidation against time, with the effective-stress profile and the compression path behind them.

Consolidation curve over time with P10, P50 and P90 lines
The consolidation curve as a P10 / P50 / P90 band, with the time to the target read off it.A screenshot of the application. See the same output with its inputs.
What the results show →

TASK 3

Back-analysis & forecast

Give settlement plate and piezometer records. The tool calibrates the ground parameters that explain them, then forecasts the rest with a credible range.

Settlement plate fits through the field readings, with a P5 to P95 band
The calibrated fit through the readings and the forecast band beyond them.A screenshot of the application. See the same output with its inputs.
How the calibration works →

02 — Video demo

A design run, start to finish

Two minutes, recorded in the application: the example project is opened, the target is typed, Calculate is pressed, and the spacing, the consolidation curve and the run summary are read. Nothing is staged.

The demonstration film was recorded with fresh random profile draws rather than a saved seed, so on-screen numbers differ slightly from take to take while a saved project reproduces its numbers exactly. The worked example in the user guide is the reference set.

Read the transcript instead ↓
  1. Open PVDCal in your browser. Project › Open › Example projects: three worked examples are built in.
  2. 1 · The design target. Type the degree of consolidation and the date it must be reached by.
  3. 2 · The drain and the pattern. Band-drain size, square or triangular grid, smear. In Design the spacing is the output.
  4. 3 · The soil profile. Each parameter can be a range; a range is what turns one answer into a band.
  5. 4 · The loading schedule. Construction stages, each placed over a ramp and then held.
  6. Calculate. 100 soil profiles are drawn from the ranges; each bar is one sample closing in on its spacing.
  7. Results. A menu of cards: spacing, consolidation curve, run summary, mesh, sensitivity.
  8. Drain spacing as P10 / P50 / P90. Square and triangular patterns, with the safe end marked.
  9. The consolidation curve. The band across all samples, and the time to reach the target.
  10. Format any axis. Bounds, scale, ticks, units and labels, per axis, on every chart.
  11. Export. Every chart downloads its data to Excel; Back-calculation also writes a Word report.
  12. The run summary. A written engineering report of the run: inputs, performance and recommendations.
  13. The mesh behind the numbers. Every run is a finite-volume solution on a grid you can inspect: drain, smear zone, layers.
  14. What moves the answer. One bar per input: which uncertainty is worth reducing first.

No sound track; the captions are part of the picture. Download the film (MP4, 8 MB).

03 — Real ground, not a chart

The complications design charts leave out

Charts assume one uniform layer, instantaneous loading and a constant coefficient of consolidation. Ground obliges none of that, so PVDCal carries each complication explicitly — and cites where it comes from.

Layered profiles

Every layer keeps its own compression indices, preconsolidation pressure, void ratio and permeability. Flux continuity is enforced at each interface.

Walker & Indraratna 2009

Smear and transition zones

The disturbed annulus and the transition to intact soil are meshed explicitly, with mesh faces landing exactly on the zone boundaries.

Indraratna & Redana 1998

Vacuum preloading

Suction enters as a wall value on the drain, with depth loss, and adds to the embankment schedule rather than replacing it.

Indraratna et al. 2005

Partially penetrating drains

Drains that stop short of the base are modelled as they are: the untreated layer keeps draining vertically, with a full-disk core below the tip.

Runesson et al. 1985

Staged loading

Ramps, rest periods and multi-stage construction, with unload and reload following a recompression path rather than the virgin line.

Tang & Onitsuka 2000

Creep and stress dependence

Secondary compression through the Cα/Cc ratio, and a consolidation coefficient that follows effective stress instead of staying constant.

Mesri & Godlewski 1977

A smooth transition through yielding

The compression index is blended across the yielding zone rather than stepped at the preconsolidation pressure, because a natural deposit does not yield all at once.

Butterfield 1979

A heat map of the whole cell

Play consolidation through the programme as an animated map of radius against depth, slice it at any depth or radius, and export it as an animation for your report.

Zhu & Yin 2001

04 — Where it fits

Between the design chart and the full FE model

Three ways to size a drain field. PVDCal takes the part the chart treats most coarsely and the finite-element model treats most expensively: the drain system itself.

CHART = design chart or spreadsheet · FE = full finite-element model

Soil profile

PVDCal

Any number of layers, each with its own parameters

CHART

One uniform layer

FE

Any number of layers

Smear zone

PVDCal

Smear and transition zones meshed explicitly

CHART

A single permeability ratio

FE

Modelled, if you build it

Loading

PVDCal

Staged, ramped, unload and reload, vacuum

CHART

Instantaneous

FE

Staged, if you build it

Consolidation coefficient

PVDCal

Follows effective stress and void ratio

CHART

Constant

FE

Depends on the constitutive model chosen

Answer

PVDCal

A P10 / P50 / P90 band from the parameter ranges

CHART

One number, read off a curve

FE

One number per run; bands need many runs

Learning from monitoring

PVDCal

Back-analysis of plates and piezometers, then a forecast

CHART

None

FE

Manual trial and error

Time to a result

PVDCal

About a minute per design; a back-analysis in under half an hour

CHART

Minutes

FE

Hours to days, including the model build

Outside the drain field

PVDCal

Not covered — by design

CHART

Not covered

FE

Stability, lateral movement, structures

Outside the treated area — differential settlement, stability, structures — the other tools remain the right ones. How the division of labour works →

05 — Back-analysis and forecast

Let the embankment tell you what the ground is

Feed in settlement plates and piezometers. PVDCal searches the parameter space for the soil that explains the record, reports how well it fits, and forecasts the remaining settlement with a credible range.

On the Ballina trial embankment in New South Wales — a published full-scale test on soft estuarine clay — the forecast from a 400-day record landed within 1.5 % of the final measured settlement, and within 0.8 % from a 700-day record.

Forecast error from a 400-day record
1.5 %
forecast error from a 400-day record
Forecast error from a 700-day record
0.8 %
forecast error from a 700-day record
See the Ballina case →
Ballina embankment: forecasts from 200, 400 and 700 days of monitoring against the M0 extensometer record to day 1080
Ballina, scored against the M0 extensometer record (last reading 1,427 mm): forecasts from 400 and 700 days of monitoring land 1.5 % and 0.8 % below it; from 200 days, 9.4 % low — the record was too short, and the guide says so.

06 — Who builds it

The person who answers is the person who wrote the solver

PVDCal is written and maintained by a practising geotechnical engineer and researcher whose work on the consolidation of PVD-improved clay is published in the peer-reviewed literature. GeotechLogic is a small software business in Victoria, Australia.

Try it on your own profile.

PVDCal is opening soon. Ask for early access and we will set you up with the example projects and the full user guide.

BETA - testing stage. PVDCal is under testing. Results are for evaluation only and must not be used for construction design.