Pith Number

pith:DDJK5OA7

pith:2026:DDJK5OA7PAJFNTAAW4UGG3BPLD

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Verification of reciprocity in anisotropic poroelastic wave simulation using symmetric Strang splitting

Jose Carcione, Morten Jakobsen

Symmetric Strang splitting preserves reciprocity to near machine precision in anisotropic poroelastic wave simulations.

arxiv:2605.14576 v1 · 2026-05-14 · math.NA · cs.NA · physics.flu-dyn · physics.geo-ph

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Claims

C1strongest claim

Using a symmetric second-order Strang-splitting scheme with half-step source injection and staggered pseudo-spectral discretization, we obtain cross-component reciprocity with a relative L2 misfit approaching machine precision.

C2weakest assumption

The discrete operators exactly inherit the skew-adjoint property of the reversible wave subsystem and the self-adjoint non-positive property of the Darcy subsystem from the continuous evolution operator.

C3one line summary

A symmetric second-order Strang-splitting scheme with staggered pseudo-spectral discretization for anisotropic poroelastic media achieves cross-component reciprocity to near machine precision.

References

18 extracted · 18 resolved · 0 Pith anchors

[1] Carcione, J. M., and Quiroga-Goode, G., 1995, Some aspects of the physics and numerical modeling of Biot compressional waves, J. Comput. Acous., 3, 261-280 1995

[2] M., 1996, Wave propagation in anisotropic, satu- rated porous media: Plane-wave theory and numerical simula- tion:J 1996

[3] Carcione, J. M., C. Morency, and J. E. Santos, 2010, Computa- tional poroelasticity: A review:Geophysics, 75, 5, 75A229–75A243 2010

[4] M., 2022,Wave Fields in Real Media, 4th ed.: Elsevier 2022

[5] Rfnet-4d++: Joint ob- ject reconstruction and flow estimation from 4d point clouds with cross-attention spatio-temporal features 2025 · doi:10.21203/rs.3.rs-

Receipt and verification

First computed	2026-05-17T23:39:05.418521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18d2aeb81f781256cc00b728636c2f58fccd0d1b696fff6f814ea4cf67c50943

Aliases

arxiv: 2605.14576 · arxiv_version: 2605.14576v1 · doi: 10.48550/arxiv.2605.14576 · pith_short_12: DDJK5OA7PAJF · pith_short_16: DDJK5OA7PAJFNTAA · pith_short_8: DDJK5OA7

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DDJK5OA7PAJFNTAAW4UGG3BPLD \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 18d2aeb81f781256cc00b728636c2f58fccd0d1b696fff6f814ea4cf67c50943

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f522f410f8cc9e1c58e565f006948e6c2cd5b6d3bdf7f754896d52e5dcb740b4",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.flu-dyn",
      "physics.geo-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-14T08:48:20Z",
    "title_canon_sha256": "ebbe05a4bc0fb74575a9e220bc83814c8f53a5d72cbe043c49a35d864ed19eda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14576",
    "kind": "arxiv",
    "version": 1
  }
}