From 50f5be291c5e52b313637d6a78893ce15b1d8f25 Mon Sep 17 00:00:00 2001 From: lmoresi Date: Wed, 12 Aug 2026 12:18:12 +1000 Subject: [PATCH 1/4] =?UTF-8?q?docs:=20listric=20faults=20over=20a=20commo?= =?UTF-8?q?n=20detachment=20=E2=80=94=20the=20two-representations=20teachi?= =?UTF-8?q?ng=20example?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The classic rift geometry built both ways on the same base mesh, with the junction treatment as the lesson: ribbons sole into the detachment natively (junctions are cells of the union) and reproduce the linked block tectonics; zero-thickness surfaces with the junction gap localise individually but under-connect the system — the detachment barely engages. Scripts in ~/+Simulations/listric_extension/; figures committed. 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diff --git a/docs/advanced/listric-fault-extension.md b/docs/advanced/listric-fault-extension.md index 6c251e4ac..e995658d5 100644 --- a/docs/advanced/listric-fault-extension.md +++ b/docs/advanced/listric-fault-extension.md @@ -1,15 +1,15 @@ -# Listric faults over a common detachment: two ways to build a fault +# Listric faults over a common detachment The classic geometry of a continental rift: listric normal faults — steep near the surface, flattening with depth — soling into a **common -detachment** in weak rock, with the hanging-wall blocks stepping down -between them. This example builds that system twice on the same base mesh, -with the two fault representations UW3 provides, and the comparison is the -lesson: **how you treat the junctions decides whether the system behaves -like linked tectonics or like isolated cracks.** +detachment** in weak rock, the hanging-wall blocks stepping down between +them. This example builds the system as **finite-width fault ribbons** +(`place_thin_volume`): one call places the whole network, the +fault–detachment junctions are resolved in the CAD stage and become +ordinary cells of the union, and the zone's cells carry the weak rheology +directly. -Scripts: `~/+Simulations/listric_extension/` (`listric_lines.py`, -`listric_ribbon.py`, shared geometry in `listric_common.py`). +Scripts: `~/+Simulations/listric_extension/`. ## The geometry @@ -25,14 +25,8 @@ def listric_trace(x0, y_lo, n=30): return np.column_stack([x, y]) ``` -Two faults (`x0 = 0.35` and `1.05`) and a horizontal detachment segment -spanning beneath both. The instantaneous Stokes problem is plain extension: -sides pulled apart at ±0.5, free-slip base, free top, viscosity 1 in the -country rock and $10^{-3}$ in the fault material, assigned **per cell** -(P0, discontinuous — interpolating a nodal viscosity across a sharp -interface smears exactly what the conforming mesh resolves). - -## Way one: finite-width ribbons, soled into the detachment +Two faults and a horizontal detachment spanning beneath both, soled a +fraction of the ribbon width into it so the union is clean: ```python from underworld3.utilities.place_surface import place_thin_volume @@ -41,66 +35,39 @@ dm, info = place_thin_volume(mesh0.dm, [sole, f1, f2], width=0.02, label="Zone", label_value=31) ``` -One call places the whole network. The traces are thickened to ribbons of -the given **constitutive width** and resolved against one another in the -CAD kernel — the fault–detachment junctions become ordinary cells of the -union, with no geometric treatment at all. The zone's cells carry the -label; the weak viscosity is read straight off it. +The width is a **real parameter** — constitutive, in the finite-width +formulation ($V = 2\dot\varepsilon\, w$) — not something that tracks the +mesh. The instantaneous Stokes problem is plain extension: sides pulled at +±0.5, free-slip base, free top, viscosity 1 in the country rock and +$10^{-3}$ in the zone, assigned **per cell** off the zone label (P0, +discontinuous — interpolating a nodal viscosity across a sharp interface +smears exactly what the conforming zone resolves). ```{figure} figures/listric_ribbon.png :width: 90% -Ribbons soled into the detachment. The hanging-wall blocks move as -coherent units (middle), and the detachment is ACTIVE between the two -junctions (bottom) — the textbook rift cartoon, reproduced. -``` - -## Way two: zero-thickness surfaces, with the junction gap - -```python -from underworld3.utilities.place_surface import place_along_lines - -dm, _ = place_along_lines(mesh0.dm, [sole], label="Sole", label_value=31) -dm, _ = place_along_lines(dm, [f1], label="F1", label_value=32) -dm, _ = place_along_lines(dm, [f2], label="F2", label_value=33) -``` - -Zero-thickness surfaces are placed **one at a time**, and two surfaces -closer than a cell are refused — converging surfaces compete for the same -cavity — so each listric fault stops ~1.5 elements above the sole: the -standard **gap convention** for zero-thickness junctions. The weak region -is the facet support (one cell each side of each surface). - -```{figure} figures/listric_lines.png -:width: 90% - -The same geometry as zero-thickness surfaces with gaps at the sole. Each -fault localises strain individually (bottom), but the velocity field -(middle) shows only weak block individuation and the detachment is nearly -silent: the gaps break the kinematic linkage, and slip cannot transfer -from the faults into the sole through 1.5 elements of strong rock. +Weak zones (top), horizontal velocity (middle), strain rate (bottom). The +hanging-wall blocks move as coherent units and the detachment is ACTIVE +between the two junctions — the textbook rift cartoon, reproduced. Note +the listric–sole junctions are *glancing* intersections, so the layer +mesh's minimum angle there equals the local intersection angle (≈5° in +this geometry); the solve is untroubled, and steepening the trace's +terminal dip is the lever if a stiffer rheology objects. ``` -## The comparison, and when to use which - -| | ribbons (`place_thin_volume`) | zero-thickness (`place_along_lines`) | -|---|---|---| -| junctions | in the volume — the rheology decides | gap convention (or explicit junction machinery) | -| fault width | a REAL parameter (sub-$h$ supported); $V = 2\dot\varepsilon\, w$ makes it constitutive | tracks the mesh (facet support ≈ one element each side) | -| system connectivity | native — the detachment engages | broken at the gaps unless closed by other means | -| sharp velocity jump | smeared over $w$ | exact at the facet chain | -| this example | reproduces the linked block tectonics | under-connects the system | - -For a junction-dominated structure — which a rift with a common detachment -is — the **connectivity of the weak network controls the tectonics**, and -the ribbon representation carries connectivity natively. Zero-thickness -surfaces remain the right tool where the interface itself is the object of -study (contact, exact slip, dynamic topography from a discrete fault), and -the two compose: both live in the same placement family, on the same -meshes, with the same lifecycle (add, remove, re-place — serial or -parallel). - -Both representations also support faults that **outcrop at the surface** -in 3-D (specify the surface a little long; prep clips it and remeshes the -cap conformingly). In 2-D the ribbons here stop just below the top — a -recorded limitation, not a design one. +## The comparison to come + +The other fault representation — the **zero-thickness fault**, meaning the +*split mesh*: duplicated nodes along the surface, a true velocity +discontinuity, contact conditions on the interface — is the interesting +counterpart for this geometry, and the comparison arrives with the +fault-contact machinery. The expectation to test: the two should agree +closely on the block kinematics, with the differences carried by the +**junction treatment** — the ribbon network is through-going by +construction, while split surfaces meet the sole through an explicit +glue / through-going choice. + +(A third construction — a conforming *weak band*, the placed surface with +its facet-support cells weakened — exists and is sometimes convenient, but +its width tracks the mesh and its junctions under-connect; it is not a +useful model of this system and is not shown.) From 384225b4a78a174ff599536ccd7e613d02f51650 Mon Sep 17 00:00:00 2001 From: lmoresi Date: Wed, 12 Aug 2026 17:18:15 +1000 Subject: [PATCH 3/4] =?UTF-8?q?docs:=20complete=20the=20listric=20comparis?= =?UTF-8?q?on=20=E2=80=94=20ribbons=20against=20the=20split=20mesh?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Split-node faults landed on development (#502), so the second half of this teaching example can be built. Both representations now run from the SAME raw traces, the SAME uniform base mesh and the SAME drive, with the interface law matched to the band (eta_f = eta_band / w). What the comparison shows: - the kinematics agree: same blocks, same subsidence pattern, peak vertical velocity -0.648 (ribbon) against -0.635 (split); - the strain rate cannot agree, and that is the point — the ribbon spends deformation as strain inside a band, the split spends it as a jump no strain measure can see; - peak slip agrees to 7-20% on the listric faults, but the detachment slips half as much in the split model. That halving is the JUNCTION, not the law. Controls: removing the interface law entirely moves slip by 2-4%; doubling the ligament costs the sole 16%. A listric sole is a glancing junction, so the offset form's pull-back is ligament*h/sin(theta) — 0.10 of trace here, three times what the same setting costs at an orthogonal crossing. Figures: the junction close-up (both constructions at one scale), the three-field comparison, and the slip profiles. Solver note recorded on the page: the split runs warn that an inner velocity KSP hits its cap; checked against the direct-LU route (0.2%) and against a 1000x tighter tolerance (unchanged). Underworld development team with AI support from Claude Code --- docs/advanced/figures/listric_compare.png | Bin 0 -> 364460 bytes .../advanced/figures/listric_construction.png | Bin 0 -> 404152 bytes docs/advanced/figures/listric_ribbon.png | Bin 263706 -> 0 bytes docs/advanced/figures/listric_slip.png | Bin 0 -> 112811 bytes docs/advanced/listric-fault-extension.md | 197 ++++++++++++++---- 5 files changed, 153 insertions(+), 44 deletions(-) create mode 100644 docs/advanced/figures/listric_compare.png create mode 100644 docs/advanced/figures/listric_construction.png delete mode 100644 docs/advanced/figures/listric_ribbon.png create mode 100644 docs/advanced/figures/listric_slip.png diff --git a/docs/advanced/figures/listric_compare.png b/docs/advanced/figures/listric_compare.png new file mode 100644 index 0000000000000000000000000000000000000000..2a3e0dd2a599074258dc2bd4491f96281102362b GIT binary patch literal 364460 zcmeFZXHZnzw=b%qBH2U|0hJ^oAW4uYDj->MY>=FDXfj(AkSsX~NQNc}NNgHVl1+{x 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za`T#7LRGKzx(2*PT`Sa5#_-XB@+_4{^9#wc>E=~5-0qFhUAFXpjj#dbKVv&p7kAyG z|3#DkSH1p!{cjR5P+%Bl82%V|gHFyoydD^@{P!^0|DTJy&DVfYB(eXlu7AcQ|D!zM ey#Gut0*!%X-QApycT{wDhn$qs`^tC5-~I=Y=;7-C literal 0 HcmV?d00001 diff --git a/docs/advanced/index.md b/docs/advanced/index.md index eaf2d99b3..9f10ccc3d 100644 --- a/docs/advanced/index.md +++ b/docs/advanced/index.md @@ -102,6 +102,7 @@ performance multigrid-preconditioning solver-iteration-callbacks complex-rheologies +listric-fault-extension vep-transverse-isotropy-faults custom-meshes curved-boundary-conditions diff --git a/docs/advanced/listric-fault-extension.md b/docs/advanced/listric-fault-extension.md new file mode 100644 index 000000000..6c251e4ac --- /dev/null +++ b/docs/advanced/listric-fault-extension.md @@ -0,0 +1,106 @@ +# Listric faults over a common detachment: two ways to build a fault + +The classic geometry of a continental rift: listric normal faults — steep +near the surface, flattening with depth — soling into a **common +detachment** in weak rock, with the hanging-wall blocks stepping down +between them. This example builds that system twice on the same base mesh, +with the two fault representations UW3 provides, and the comparison is the +lesson: **how you treat the junctions decides whether the system behaves +like linked tectonics or like isolated cracks.** + +Scripts: `~/+Simulations/listric_extension/` (`listric_lines.py`, +`listric_ribbon.py`, shared geometry in `listric_common.py`). + +## The geometry + +A listric trace flattening toward the detachment depth $y_d$: + +```python +DETACH_Y = 0.4 # the common detachment depth +LAM = 0.18 # flattening length + +def listric_trace(x0, y_lo, n=30): + y = np.linspace(1.0 - TOP_GAP, y_lo, n) + x = x0 + LAM * np.log((1.0 - DETACH_Y) / (y - DETACH_Y)) + return np.column_stack([x, y]) +``` + +Two faults (`x0 = 0.35` and `1.05`) and a horizontal detachment segment +spanning beneath both. The instantaneous Stokes problem is plain extension: +sides pulled apart at ±0.5, free-slip base, free top, viscosity 1 in the +country rock and $10^{-3}$ in the fault material, assigned **per cell** +(P0, discontinuous — interpolating a nodal viscosity across a sharp +interface smears exactly what the conforming mesh resolves). + +## Way one: finite-width ribbons, soled into the detachment + +```python +from underworld3.utilities.place_surface import place_thin_volume + +dm, info = place_thin_volume(mesh0.dm, [sole, f1, f2], width=0.02, + label="Zone", label_value=31) +``` + +One call places the whole network. The traces are thickened to ribbons of +the given **constitutive width** and resolved against one another in the +CAD kernel — the fault–detachment junctions become ordinary cells of the +union, with no geometric treatment at all. The zone's cells carry the +label; the weak viscosity is read straight off it. + +```{figure} figures/listric_ribbon.png +:width: 90% + +Ribbons soled into the detachment. The hanging-wall blocks move as +coherent units (middle), and the detachment is ACTIVE between the two +junctions (bottom) — the textbook rift cartoon, reproduced. +``` + +## Way two: zero-thickness surfaces, with the junction gap + +```python +from underworld3.utilities.place_surface import place_along_lines + +dm, _ = place_along_lines(mesh0.dm, [sole], label="Sole", label_value=31) +dm, _ = place_along_lines(dm, [f1], label="F1", label_value=32) +dm, _ = place_along_lines(dm, [f2], label="F2", label_value=33) +``` + +Zero-thickness surfaces are placed **one at a time**, and two surfaces +closer than a cell are refused — converging surfaces compete for the same +cavity — so each listric fault stops ~1.5 elements above the sole: the +standard **gap convention** for zero-thickness junctions. The weak region +is the facet support (one cell each side of each surface). + +```{figure} figures/listric_lines.png +:width: 90% + +The same geometry as zero-thickness surfaces with gaps at the sole. Each +fault localises strain individually (bottom), but the velocity field +(middle) shows only weak block individuation and the detachment is nearly +silent: the gaps break the kinematic linkage, and slip cannot transfer +from the faults into the sole through 1.5 elements of strong rock. +``` + +## The comparison, and when to use which + +| | ribbons (`place_thin_volume`) | zero-thickness (`place_along_lines`) | +|---|---|---| +| junctions | in the volume — the rheology decides | gap convention (or explicit junction machinery) | +| fault width | a REAL parameter (sub-$h$ supported); $V = 2\dot\varepsilon\, w$ makes it constitutive | tracks the mesh (facet support ≈ one element each side) | +| system connectivity | native — the detachment engages | broken at the gaps unless closed by other means | +| sharp velocity jump | smeared over $w$ | exact at the facet chain | +| this example | reproduces the linked block tectonics | under-connects the system | + +For a junction-dominated structure — which a rift with a common detachment +is — the **connectivity of the weak network controls the tectonics**, and +the ribbon representation carries connectivity natively. Zero-thickness +surfaces remain the right tool where the interface itself is the object of +study (contact, exact slip, dynamic topography from a discrete fault), and +the two compose: both live in the same placement family, on the same +meshes, with the same lifecycle (add, remove, re-place — serial or +parallel). + +Both representations also support faults that **outcrop at the surface** +in 3-D (specify the surface a little long; prep clips it and remeshes the +cap conformingly). In 2-D the ribbons here stop just below the top — a +recorded limitation, not a design one. From c48d84656707f994ba09db2bf38fa0c71eb3e230 Mon Sep 17 00:00:00 2001 From: lmoresi Date: Wed, 12 Aug 2026 12:46:48 +1000 Subject: [PATCH 2/4] =?UTF-8?q?docs:=20reshape=20the=20listric=20example?= =?UTF-8?q?=20=E2=80=94=20ribbons=20now,=20split-mesh=20comparison=20to=20?= =?UTF-8?q?come?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Terminology and scope per the maintainer's direction: the zero-thickness fault MEANS the split mesh (true discontinuity + contact), and the useful comparison for this geometry is ribbons vs split mesh — arriving with the fault-contact machinery. The conforming weak band is named for what it is and dropped from the page (its junctions under-connect; not a useful model of a detachment system). The ribbon presentation stands alone, with the glancing-junction note. 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