Sound speed profile¶

Also visible in figure 1 is a common feature in sound speed profiles: the SOFAR channel.

Version: v1 · 2026-09-28 · History
Domain-specific #: 12178
Domain group: Natural Sciences
Origin domain: Marine Science & Oceanography
Subdomains: Underwater Acoustics, Physical Oceanography → Marine Science & Oceanography

Core Idea¶

Sound speed profile is treated here as the recurring natural science, engineering, and health identity summarized by this source-grounded definition: Also visible in figure 1 is a common feature in sound speed profiles: the SOFAR channel.

A sound speed profile shows the speed of sound in water at different vertical levels. tabular form, with pairs of columns corresponding to ocean depth and the speed of sound at that depth, respectively. a plot of the speed of sound in the ocean as a function of depth, where the vertical axis corresponds to the depth and the horizontal axis corresponds to the sound speed.

By convention, the horizontal axis is placed at the top of the plot, and the vertical axis is labeled with values that increase from top to bottom, thus reproducing visually the ocean from its surface downward. Table 1 shows an example of the first representation; figure 1 shows the same information using the second representation. Although given as a function of depth, the speed of sound in the ocean does not depend solely on depth.

For Sound speed profile, the abstraction is narrower than the article's general subject matter: a positive case must preserve Also visible in figure 1 is a common feature in sound speed profiles: the SOFAR channel. Retaining only the name, a familiar example, or a downstream effect is insufficient. The specialist roles and tests remain anchored in natural science, engineering, and health, which is why this identity is domain-specific rather than prime.

Structural Signature¶

Sig role-phrases:

Defining carrier — Rather, for a given depth, the speed of sound depends on the temperature at that depth, the depth itself, and the salinity at that depth, in that order.
Constitutive relation — Examples of such formulae include those by Wilson, Chen and Millero, and Mackenzie.
Operating condition — The speed of sound in the ocean at different depths can be measured directly, e.g., by using a velocimeter, or, using measurements of temperature and salinity at different depths, it can be calculated using a number of different sound speed formulae which have been developed.
Recognition evidence — A sound speed profile shows the speed of sound in water at different vertical levels.
Admissible variation — tabular form, with pairs of columns corresponding to ocean depth and the speed of sound at that depth, respectively.
Characteristic consequence — a plot of the speed of sound in the ocean as a function of depth, where the vertical axis corresponds to the depth and the horizontal axis corresponds to the sound speed.
Failure boundary — By convention, the horizontal axis is placed at the top of the plot, and the vertical axis is labeled with values that increase from top to bottom, thus reproducing visually the ocean from its surface downward.

What It Is Not¶

Not the whole field of natural science, engineering, and health. The node requires the specific identity stated by Also visible in figure 1 is a common feature in sound speed profiles: the SOFAR channel.
Not an over-broad reading. A sound speed profile shows the speed of sound in water at different vertical levels.
Not an over-broad reading. Although given as a function of depth, the speed of sound in the ocean does not depend solely on depth.
Not an over-broad reading. At a certain point, however, the effect of depth, i.e., pressure, begins to dominate, and the sound speed increases to the ocean floor.
Not automatically Infrasound. Retrieval proximity does not establish equivalence; the two identities must be compared by carrier, operation, and failure boundary.

Scope of Application¶

Sound speed profile applies literally inside natural science, engineering, and health wherever the source-defined carrier and relation can be established. Its documented habitats include:

Documented setting. a plot of the speed of sound in the ocean as a function of depth, where the vertical axis corresponds to the depth and the horizontal axis corresponds to the sound speed.
Documented setting. Although given as a function of depth, the speed of sound in the ocean does not depend solely on depth.
Documented setting. A sound speed profile shows the speed of sound in water at different vertical levels.
Documented setting. tabular form, with pairs of columns corresponding to ocean depth and the speed of sound at that depth, respectively.
Documented setting. By convention, the horizontal axis is placed at the top of the plot, and the vertical axis is labeled with values that increase from top to bottom, thus reproducing visually the ocean from its surface downward.
Documented setting. Table 1 shows an example of the first representation; figure 1 shows the same information using the second representation.

Outside natural science, engineering, and health, the name should be retained only when these same operational conditions survive; otherwise the comparison belongs to the broader parent Role or should be marked as analogy.

Clarity¶

A clear use of Sound speed profile names the carrier, the operative relation, and the conditions under which the source treats the identity as present. The minimal definition is Also visible in figure 1 is a common feature in sound speed profiles: the SOFAR channel. The strongest recognition evidence in the frozen account is: A sound speed profile shows the speed of sound in water at different vertical levels. A report should distinguish that evidence from a proxy, consequence, or common implementation. It should also state the qualification A sound speed profile shows the speed of sound in water at different vertical levels. so that a reader can reproduce the classification rather than infer it from topical resemblance.

Manages Complexity¶

Sound speed profile compresses multiple natural science, engineering, and health details into a stable diagnostic relation. The source shows both the central mechanism—examples of such formulae include those by Wilson, Chen and Millero, and Mackenzie.—and the practical consequence—a plot of the speed of sound in the ocean as a function of depth, where the vertical axis corresponds to the depth and the horizontal axis corresponds to the sound speed. This compression makes cases comparable while leaving parameters, conventions, exceptions, and evidential quality explicit. It is lossy by design: local history and implementation details may be omitted only when they do not alter the defining relation.

Abstract Reasoning¶

Type the carrier. Identify the natural science, engineering, and health entities to which the claim applies.
State the relation. Use the source-grounded identity: Also visible in figure 1 is a common feature in sound speed profiles: the SOFAR channel.
Check operation and conditions. The speed of sound in the ocean at different depths can be measured directly, e.g., by using a velocimeter, or, using measurements of temperature and salinity at different depths, it can be calculated using a number of different sound speed formulae which have been developed.
Demand recognition evidence. A sound speed profile shows the speed of sound in water at different vertical levels.
Test variation. Change an implementation or setting while preserving tabular form, with pairs of columns corresponding to ocean depth and the speed of sound at that depth, respectively.
Run the collapse test. Remove the defining operation; if the label still seems equally apt, only a topic or correlate was retained.
Reduce cautiously. When the specialist conditions cannot be carried, route the residual comparison to Role.

Knowledge Transfer¶

Within the home domain. Knowledge about Sound speed profile transfers literally when a new case preserves the same carrier type, relation, and recognition test. a plot of the speed of sound in the ocean as a function of depth, where the vertical axis corresponds to the depth and the horizontal axis corresponds to the sound speed. Although given as a function of depth, the speed of sound in the ocean does not depend solely on depth.

Beyond the home domain. No canonical parent is asserted for Sound speed profile. An outside case receives the specialist name only when the same typed roles and rejection conditions can be filled literally; otherwise the comparison remains an analogy pending later graph densification.

Examples¶

Canonical¶

There are software solutions that ease the adoption of such formulas, e.g., the open-source Sound Speed Manager. This case is canonical because it supplies a concrete carrier and lets the defining relation be checked rather than merely named.

Mapped back: carrier → the entities in the documented case; operation → Also visible in figure 1 is a common feature in sound speed profiles: the SOFAR channel; recognition evidence → A sound speed profile shows the speed of sound in water at different vertical levels

Applied / In Practice¶

The speed of sound in the ocean at different depths can be measured directly, e.g., by using a velocimeter, or, using measurements of temperature and salinity at different depths, it can be calculated using a number of different sound speed formulae which have been developed. The applied case shows how the identity is used under a second setting or qualification while keeping the same operative relation.

Mapped back: changed setting → the applied context; invariant → Also visible in figure 1 is a common feature in sound speed profiles: the SOFAR channel; boundary → the case exits the class when a sound speed profile shows the speed of sound in water at different vertical levels

Structural Tensions¶

T1 — Stable identity versus admissible variation. A sound speed profile shows the speed of sound in water at different vertical levels. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Which changes preserve the defining relation, and which replace it?

T2 — Recognition versus proxy. Although given as a function of depth, the speed of sound in the ocean does not depend solely on depth. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Does the cited evidence establish the identity or only a correlated sign?

T3 — Definition versus implementation. At a certain point, however, the effect of depth, i.e., pressure, begins to dominate, and the sound speed increases to the ocean floor. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Is the observed implementation constitutive, optional, or merely common?

T4 — Scope versus overextension. The speed of sound in the ocean at different depths can be measured directly, e.g., by using a velocimeter, or, using measurements of temperature and salinity at different depths, it can be calculated using a number of different sound speed formulae which have been developed. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Can every claimed application fill the same typed roles without metaphor?

T5 — Transfer versus domain accent. Rather, for a given depth, the speed of sound depends on the temperature at that depth, the depth itself, and the salinity at that depth, in that order. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Does the receiving case instantiate Sound speed profile literally, co-instantiate Role, or only resemble it?

T6 — Autonomy versus reduction. Examples of such formulae include those by Wilson, Chen and Millero, and Mackenzie. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: What does Sound speed profile distinguish that the broader parent Role leaves together?

Structural–Framed Character¶

Sound speed profile is structural-leaning. Its structural side is the repeatable organization summarized by Also visible in figure 1 is a common feature in sound speed profiles: the SOFAR channel. Its framed side is the natural science, engineering, and health vocabulary that fixes the carrier, evidence, exceptions, and admissible transformations.

Evaluative weight: the identity can be stated descriptively even when applications carry practical stakes. Human-practice dependence: the source-grounded carrier determines whether the relation exists independently or is constituted by a practice. Institutional origin: disciplinary conventions stabilize the name and test. Vocabulary portability: The speed of sound in the ocean at different depths can be measured directly, e.g., by using a velocimeter, or, using measurements of temperature and salinity at different depths, it can be calculated using a number of different sound speed formulae which have been developed. Import versus recognition: literal transfer requires the same mechanism; shape alone is analogy.

Its portable skeleton is Role. Its character: a recurring specialist identity whose thin organization can be abstracted, while its operational meaning remains domain-bound.

Structural Core vs. Domain Accent¶

What is skeletal. Also visible in figure 1 is a common feature in sound speed profiles: the SOFAR channel. The stable skeleton is the typed relation expressed in that definition and the entry's recognition and collapse tests. The source identifies these operative conditions: Rather, for a given depth, the speed of sound depends on the temperature at that depth, the depth itself, and the salinity at that depth, in that order. Examples of such formulae include those by Wilson, Chen and Millero, and Mackenzie. It further constrains recognition and variation through: The speed of sound in the ocean at different depths can be measured directly, e.g., by using a velocimeter, or, using measurements of temperature and salinity at different depths, it can be calculated using a number of different sound speed formulae which have been developed. A sound speed profile shows the speed of sound in water at different vertical levels.

What is domain-bound. natural science, engineering, and health supplies the operative entities, technical vocabulary, warrants, and exceptions that make Sound speed profile literal. Its documented scope includes the condition that a plot of the speed of sound in the ocean as a function of depth, where the vertical axis corresponds to the depth and the horizontal axis corresponds to the sound speed. Another bounded application condition is that Although given as a function of depth, the speed of sound in the ocean does not depend solely on depth. These are not decorative examples; they determine which carrier and evidence can fill the abstraction's roles.

Why no parent is asserted. Removing those specialist details does not currently yield one live catalog node that is a necessary genus for every instance. The entry is therefore approved as unparented rather than attached by topical resemblance. Its collapse evidence remains specific—tabular form, with pairs of columns corresponding to ocean depth and the speed of sound at that depth, respectively.—and future graph densification may discover a defensible relation only if it preserves that boundary.

Approved unparented node. No current live node supplies a defensible necessary genus or structural prerequisite for Sound speed profile. The reviewed identity is: Also visible in figure 1 is a common feature in sound speed profiles: the SOFAR channel. The accelerated suggestion was declined because topical or lexical similarity does not establish hierarchy; the node is admitted without a parent pending later graph densification.
Related reasoning operations. Evidence, representation, comparison, classification, transformation, or evaluation may participate in particular cases, but participation does not make any one of them a necessary parent of every instance.

Neighborhood in Abstraction Space¶

Sound speed profile sits in a sparse region of the domain-specific corpus (78^th percentile for distinctiveness): few abstractions share its structure, so a faithful description tends to retrieve it precisely.

Family — Sound Transmission & Building Physics (11 abstractions)

Nearest neighbors

Computed from structural-signature embeddings · 2026-10-08

Not to Be Confused With¶

Role. The parent omits the specialist differentia. Tell: Can the case establish Also visible in figure 1 is a common feature in sound speed profiles: the SOFAR channel?
Infrasound. Acoustic waves below the conventional lower frequency limit of human hearing, generally taken as 20 hertz. Tell: Which entry's carrier, operation, and failure condition are satisfied?
Front (oceanography). A relatively narrow ocean boundary zone with strong horizontal gradients separating water masses or dynamical regimes. Tell: Which entry's carrier, operation, and failure condition are satisfied?
Supersonic speed. A flow or motion regime in which speed relative to a medium exceeds that medium’s local speed of sound. Tell: Which entry's carrier, operation, and failure condition are satisfied?
A measurement, proxy, or consequence. Those may provide evidence without being the identity. Tell: Would Sound speed profile remain present if the detector or downstream effect changed?
A metaphorical analogue. A similar shape outside natural science, engineering, and health lacks the specialist mechanism. Tell: Do the native roles transfer literally, or only the parent Role?

References¶

Frozen Wikipedia discovery revision: https://en.wikipedia.org/wiki/Sound_speed_profile (revision 1300240399).

The frozen Wikipedia revision is discovery provenance. The retained source set was reviewed for identity, formal or operational relation, and scope. The encyclopedia's structural synthesis is bounded to those claims; a thin authority surface is recorded as a nonblocking source-strengthening repair rather than concealed.