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Depth-Dependent Seabed Properties: Geoacoustic Assessment | Journal of Geotechnical and Geoenvironmental Engineering

Depth-Dependent Density and Effective Stress

Self-compaction reflects the dependency between effective stress

σ_{z}^{'}

and sediment density

ρ_{s}

. In this section, an asymptotically correct compaction model is used and the evolution of effective stress

σ_{z}^{'}

, porosity

n

, and sediment density

ρ_{s}

is investigated for a wide range of sediments in the upper 1,000 m of the sediment column.

Compaction Model: Void Ratio versus Effective Stress

Fig. 1 presents compaction trends for a wide range of soils, from high-plasticity clays to clean sands. Clearly, the sediment void ratio

e

decreases as a function of the vertical effective stress

σ_{z}^{'}

, and compressibility increases with sediment plasticity. The compaction trend is nonlinear in the conventional semi-log space, so the classical Terzaghi model

e = e_{1 kPa} - C_{c} \cdot \log (σ_{z}^{'} / 1 kPa)

fails to satisfy asymptotic conditions at very low and high effective stresses (see also Mesri and Olson 1971; Johns 1986; Burland 1990; Pestana and Whittle 1995; Gregory et al. 2006). In particular, the low effective stress asymptote void ratio

e_{L}

must be properly captured because it plays a critical role in high-frequency bathymetric data analysis.

Therefore, this study uses an asymptotically correct exponential compaction model in terms of void ratios

e_{L}

at low effective stress (

σ_{z}^{'} \to 0

) and

e_{H}

at very high effective stress (

σ_{z}^{'} \to \infty

); then the void ratio

e_{z}

at depth

z

is a function of the vertical effective stress

σ_{z}^{'}

(Gregory et al. 2006; Chong and Santamarina 2016):

(1)

e_{z} = e_{H} + (e_{L} - e_{H}) \exp [- {(\frac{σ_{z}^{'}}{σ_{c}^{'}})}^{η}]

where the model parameter

η

captures the void ratio sensitivity to effective stress and is often

η \approx 1 / 3

, and

σ_{c}^{'}

is the characteristic effective stress so that

(e_{z} - e_{H}) = 0.37 (e_{L} - e_{H})

when

σ_{z}^{'} = σ_{c}^{'}

Fig. 1 shows exponential compaction trends for six reference sediments selected to bound the experimental data. The model parameters correlate with the sediment specific surface, plasticity, and grain shape (Table 1 summarizes the model parameters for the six reference sediments). The scale used in this figure reaches

σ_{z}^{'} = 10 MPa

to test the wide stress range validity of the exponential

e_{z} - σ_{z}^{'}

model [Eq. (1)].

Table 1. Select reference sediments. Constitutive parameters for effective stress-dependent compaction model [Eq. (1): model parameter

η = 1 / 3

] and shear stiffness in terms of shear wave velocity [Eq. (5)]. Parameters are self-consistent and satisfy published correlations in terms of specific surface, plasticity, and grain shape

Table 1. Select reference sediments. Constitutive parameters for effective stress-dependent compaction model [Eq. (1): model parameter η=1/3] and shear stiffness in terms of shear wave velocity [Eq. (5)]. Parameters are self-consistent and satisfy published correlations in terms of specific surface, plasticity, and grain shape

Reference sediment
Reference sediment	$e_{L}$	$e_{H}$	$σ_{c}^{'}$ (kPa)	$α$ ( $m / s$ )	$β$
1	8	0.1	500	22	0.38
2	3.2	0.3	500	33	0.32
3	1.80	0.3	700	58	0.25
4	1.35	0.3	1,000	75	0.23
5	0.91	0.2	2,000	110	0.19
6	0.60	0.2	3,000	146	0.17

The void ratio of sandy sediments at low effective stress

e_{L}

reflects the grain size distribution and particle shape (Youd 1973; Cho et al. 2006). At a given relative density

D_{r}

, the value of

e_{L}

can be estimated from the coefficient of uniformity

C_{u}

and particle roundness

R^{*}

e_{L} = (0.02 - 0.032 \cdot D_{r}) + (0.893 - 0.522 \cdot D_{r}) / C_{u} + (0.236 - 0.154 \cdot D_{r}) / R^{*}

; for example,

e_{L} = 0.89

for a sandy sediment with

C_{u} = 3

, and

R^{*} = 0.3

D_{r} = 30 %

On the other hand, mineralogy and depositional environment determine the void ratio

e_{L}

and the compressibility of clay-rich sediments (Palomino and Santamarina 2005; Wang and Siu 2006; Wang and Xu 2007). Assuming an edge-to-face fabric, the value of

e_{L}

is a function of the particle slenderness,

e_{L} = (a - 1) / 2

where the slenderness ratio

a

is equal to the particle length divided by its thickness; for example, kaolinite has

a \approx 10

and

e_{L} = 4.5

, while montmorillonite has

a \approx 100

and

e_{L} = 50

(Santamarina et al. 2001). Remolding disturbs the initial fabric and any subsequent diagenesis (Burland 1990; Leroueil 1996; Hong et al. 2012).

Depth-Dependent Density and Porosity

Consider a thin seabed layer of thickness

d z

at depth

z

. Force equilibrium combines with gravimetric-volumetric relations to predict the effective stress gradient

d σ_{z}^{'} / d z

as a function of the void ratio

e_{z}

at depth

z

(note that gravity

g = 9.81 m / s^{2}

(2)

\frac{d σ_{z}^{'}}{d z} = ρ_{w} [\frac{S_{G} - 1}{1 + e_{z}}] g

where the mineral-specific gravity

S_{G} = ρ_{m} / ρ_{w}

is the ratio between the mineral and water densities

ρ_{m}

and

ρ_{w}

. Eq. (1) is inserted in Eq. (2), and the differential equation is solved. The closed-form solution for

η = 1 / 3

predicts the following effective stress profile

σ_{z}^{'}

with depth

z

(for η = 1/3—See related example for methane hydrate-bearing sediments in Terzariol et al. 2020):

(3)

z = \frac{(1 + e_{H})}{(S_{G} - 1) ρ_{w} g} σ_{z}^{'} + 3 \frac{(e_{L} - e_{H})}{(S_{G} - 1) ρ_{w} g} σ_{c}^{'} {[{(\frac{σ_{z}^{'}}{σ_{c}^{'}})}^{\frac{2}{3}} + 2 {(\frac{σ_{z}^{'}}{σ_{c}^{'}})}^{\frac{1}{3}} + 2] \cdot \exp [- {(\frac{σ_{z}^{'}}{σ_{c}^{'}})}^{\frac{1}{3}}] - 2}

Fig. 2(a) shows the effective stress trends for the six reference sediments identified earlier (Fig. 1; Table 1). Effective stress gradients decrease markedly as sediments change from sands to high-plasticity clays.

Finally, Eq. (1) is used to compute the void ratio

e_{z}

and the sediment density

ρ_{s} (z)

as a function of depth

z

(4)

Fig. 2(b) shows the change in sediment density

ρ_{s}

with depth

z

. At the sediment–water boundary

z = 0

, sediments experience zero effective stress and the sediment density is the asymptotic value

ρ_{o}

defined by

e_{(z = 0)} = e_{L}

[Eq. (4)]; conversely, the sediment density

ρ_{s}

increases toward the value defined by

e_{H}

as the sediment depth increases. Once again, the six trends in Fig. 2(b) correspond to the six reference sediments identified in Fig. 1 (parameters in Table 1) and show marked differences in density for sand, silts, and clays in the upper 1,000 m. While remolding by sediment transport can affect the sediment density in shallow accumulations, eventually effective stress-dependent compaction prevails as sediment burial progresses.

Fig. 3 shows the evolution of sediment compaction with depth in terms of porosity

n = e / (1 + e)

for data gathered from published references and the Ocean Drilling Program (ODP) projects. The data set involves normally consolidated sediments (i.e., no overpressure) and relatively homogeneous deposits. Once again, trends correspond to the reference sediments; the 1,000-m depth makes it possible to corroborate the wide stress range validity of the exponential

e_{z} - σ_{z}^{'}

model [Eq. (1)]. Some reported so-called sands exhibit high porosities; this may reflect grains with intraparticle porosity [e.g., carbonate sands (Goldhammer 1997)] or incorrect reporting of sandy sediments with high fines content so that fabric formation is fines-dominant. In general, computed trends for the six reference sediments selected earlier follow the field data for the different sediment types. (Note: the six reference sediment trends reflect self-compaction properties according to sediment type; these profiles are not intended to fit any particular data set.) The logarithm of depth used in Fig. 3 helps with exploring near-surface conditions in detail, but trends can be misleading: in linear scale, porosity decreases at a faster rate near the sediment–water interface.

Depth-Dependent P- and S-Wave Velocities

Effective stress determines not only the sediment density

ρ_{s}

but also the stiffness of the sediment granular skeleton in the absence of cementation. In turn, stiffness and mass density define P- and S-wave velocities. This section brings together P- and S-wave velocity data compiled from the literature and new experimental data gathered in this study to overcome the scarcity of published data at very shallow depths. Then, the P- and S-wave velocity data are analyzed in the context of effective stress-dependent density, shear stiffness, and bulk modulus.

Experimental Study: P- and S-Wave Velocities at Very Low

σ_{z}^{'}

Devices

The miniature P- and S-wave measurement probes built for this study involve split tubes to minimize the transmission of vibrations around the tube and boundary-reflected waves (dimension:

ϕ = 34 mm

in diameter and

H = 500 mm

in height). We mount the parallel-type bender elements for S-waves and the piezo disk elements for P-waves at the tip of the split tubes to reduce disturbance effects caused by probe penetration (insets in Figs. 4 and 5). Crystals are coated with silver paint and grounded to prevent electrical crosstalk [details in Lee and Santamarina (2005a)].

Test Procedure

The experimental study involves sediment beds prepared with fine sand, silt, and kaolinite in large-diameter columns to minimize boundary effects during the penetration of the P- and S-wave probes (columns are 300 mm in diameter and 600 mm in height). Table 2 summarizes the sediment index properties. These seafloor analogs form by sedimentation from diluted slurries to prevent gas entrapment and layering (initial water content

ω > 2,000 %

). All sediments consolidate for 2 weeks. Then P- and S-waves are recorded every 1 or 2 cm (note that signals are stable within a few minutes after each insertion, as soon as any excess pore-water pressure dissipates).

Table 2. Tested sediments—index properties

Material	Diameter (mm)	Extreme void ratios, $e_{\max} / e_{\min}$	Mean grain size $d_{50}$ (mm)	Specific gravity, $S_{G}$	Liquid limit ( $W / B / K$ )	Specific surface ( $m^{2} / g$ )	RSCS—fines classification
Cobbles	10–20	—	15	2.65	N/A	N/A	N/A
Coarse sand	1.0–2.0	$0.82 / 0.59$	1.5	2.65	N/A	N/A	N/A
Fine sand	0.075–0.25	$0.81 / 0.45$	0.16	2.63	N/A	N/A	N/A
Silt	$< 0.075$	$1.50 / 0.73$	$1.0 \times 10^{- 2}$	2.65	N/A	N/A	N/A
Kaolinite (RP2)	$< 0.075$	N/A	$3.0 \times 10^{- 4}$	2.67	$67 / 52 / 82$	33	I-I
Bentonite	$< 0.075$	N/A	$5.0 \times 10^{- 6}$	2.65	$302 / 92 / 39$	544	H-H

P- and S-Wave Signatures

Figs. 4 and 5 present P- and S-wave signatures gathered at very shallow depths and low effective stress in the sandy, silty, and clayey sediments [field data gathered with a velocity-resistivity probe can be found in Lee et al. (2010) and Yoon and Lee (2010)]. The time to first arrival decreases with depth for S-waves, while the travel time for P-waves is almost constant with depth.

Shear Wave Velocity versus Depth

Fig. 6 plots the measured and collected shear velocity

V_{S}

data set. The shear wave velocity increases with depth for all sediments. The effective stress

σ_{z}^{'}

determines the sediment shear stiffness

G_{s}

in the absence of diagenetic cementation. In fact, the shear wave velocity

V_{s} = \sqrt{{G_{s} / ρ}_{s}}

follows a Hertzian-type power relation with effective stress (Roesler 1979):

(5)

V_{s} = α {(\frac{σ_{z}^{'}}{1 kPa})}^{β}

The

α

-factor (

m / s

) is the shear wave velocity at

σ_{z}^{'} = 1 kPa

, and the

β

-exponent represents the sensitivity of the shear wave velocity to effective stress. These

α

-factor and

β

-exponent reflect the sediment type; in general, higher-specific-surface sediments are more compressible, exhibit a lower

α

-factor, and a more pronounced increase in shear stiffness with stress, i.e., a higher

β

-exponent. Thus, there is an inverse relationship between the

α

-factor and

β

-exponent, as observed for a wide range of soils:

β = 0.7 - 0.25 \log [α / (m / s)]

[see database in Cha et al. (2014)].

The shear wave velocity for fines-controlled sediments is affected by pore fluid chemistry (Klein and Santamarina 2005; Kang et al. 2014). Furthermore, diagenesis may affect both fine- and coarse-grained sediments. In particular, synsedimentary diagenesis makes deeper and older sediments stiffer than remolded specimens at the same effective stress; in this case, the shear wave velocity increases with depth owing to the effective stress and diagenesis and the field

β

-exponent will be higher than for remolded specimens in the laboratory [see data in Ku (2012) and Ku et al. (2017)].

Table 1 lists

α

and

β

values for the six reference sediments, inferred from their compressibility (refer to Part 1). Effective stress profiles from Eq. (3) combine with Eq. (5) to predict the shear wave velocity trends shown in Fig. 6. The computed

V_{S}

profiles for the six reference sediments exhibit trends similar to those in the data and successfully bound laboratory and field measurements. Once again, the shear wave velocity increases rapidly with depth in linear-linear scale [power trend in Eq. (5)].

P-Wave Velocity versus Depth

The sediment shear modulus

G_{s} = ρ_{s} \cdot V_{S}^{2}

is a function of the shear wave velocity and the sediment mass density [Figs. 6 and 2(b)]. At small strains, the bulk modulus

B_{s k}

of the sediment granular skeleton is related to the shear modulus as

(6)

B_{s k} = G_{s} \frac{2 (1 + ν_{s k})}{3 (1 - 2 ν_{s k})}

where the small-strain Poisson’s ratio of the soil skeleton is

ν_{s k} \approx 0.15

. The bulk modulus of the water-saturated sediment

B_{s}

depends on its porosity

n

and is a function of the bulk stiffness of the skeleton

B_{s k}

, water

B_{w}

, and mineral

B_{m}

(7)

On the other hand, the sediment density

ρ_{s}

(

kg / m^{3}

) is a function of the water

ρ_{w}

and mineral

ρ_{m}

densities and the sediment porosity

n

(8)

Finally, the low-frequency Biot-Gassmann P-wave velocity

V_{P}

(

m / s

) for soft marine sediments is [from Eqs. (6 )–(8)]

(9)

V_{p} = \sqrt{\frac{B_{s} + \frac{4}{3} G_{s}}{ρ_{s}}} = \sqrt{\frac{[\frac{2 (1 + ν_{s k})}{3 (1 - 2 ν_{s k})} + \frac{4}{3}] (n ρ_{w} + (1 - n) ρ_{m}) V_{s}^{2} + {(\frac{n}{B_{w}} + \frac{1 - n}{B_{m}})}^{- 1}}{n ρ_{w} + (1 - n) ρ_{m}}}

Fig. 7 shows the estimated P-wave velocity profiles versus depth for the six selected reference sediments. These trends take into consideration the depth-dependent shear wave velocity and porosity profiles computed earlier (Figs. 3 and 6). The figure includes a comprehensive data set gathered from published studies and our own experimental data (Fig. 5). Trends for the reference sediments adequately resemble the data for different sediments (not intended to fit any specific data set).

The water bulk modulus

B_{w}

controls the P-wave velocity in saturated soft sediments near the seafloor (pure water

V_{P} = 1,480 m / s

; seawater

V_{P} = 1,531 m / s

), and changes in P-wave velocity are relatively minor in the upper tenths of meters in clayey deposits. In fact, the P-wave velocity may fall below that of water when the increase in mass density is faster than the increase in skeletal stiffness in plastic sediments at shallow depth. (Note: This explains the crossing of the two trends for clayey sediments in Fig. 7.)

The P-wave velocity relaxation in sediments leads to the following ratio between the Biot high-frequency P-wave velocity

V_{P \infty}

and the low-frequency P-wave velocity

V_{P o}

computed in Eq. (9) (Santamarina et al. 2001):

(10)

\frac{V_{P \infty}}{V_{P_{0}}} = \sqrt{\frac{[n ξ + n^{2} (S_{G} - 2) - n^{3} (S_{G} - 1)] [S_{G} (1 - n) + n]}{ξ n S_{G} (1 - n) + n^{2} (ξ - 1)}}

where

ξ

is a tortuosity factor. The velocity ratio is approximately

V_{P \infty} / V_{P o} \approx 1.05

[Eq. (10), porosity

n \approx 0.4

, and tortuosity factor

ξ = 2

]. Fig. 8 shows the effect of porosity

n

on P-wave velocities

V_{P o}

and

V_{P \infty}

. Data points are values measured for “undisturbed samples” recovered from the seafloor (Richardson and Briggs 1993). The low-frequency P-wave velocity

V_{P o}

[red trend—Eq. (9)] and the high-frequency

V_{P \infty}

(red line) provide lower and upper trends for most of the data shown in Fig. 8 when the skeletal stiffness is null,

V_{S} = 0 m / s

. The central trend is best predicted with Eq. (9) for a shear wave velocity

V_{S} \approx 250 m / s

, which could result from either diagenesis or suction effects when recovered specimens are tested in air (dashed line).

Heterogeneity

Data plots in the global depth

z

-scale include changes in stratigraphy with depth [e.g., ODP holes in Leg 139–Juan de Fuca Ridge (Mottl et al. 1994)]. Compaction models make it possible to convert depth into effective stress [Eq. (3)] in order to analyze geoacoustic properties in terms of local effective stress

σ_{z}^{'}

[Eqs. (1), (4), (5), and (9)].

Discussion and Implications

In the previous two sections, a formulation and supportive database were constructed for depth-dependent geotechnical properties (density

ρ_{s}

, porosity

n

, shear stiffness

G_{s} = ρ_{s} \cdot V_{S}^{2}

) and geoacoustic properties (

V_{S}

and

V_{P}

) as functions of sediment type. The model parameters selected for the reference soils satisfy well-proven correlations with specific surface, plasticity, and grain shape. Here, the implications for bathymetric studies and seafloor sediment characterization are explored and crucial parameters that require further investigation are identified.

High-Frequency Reflection—Enhanced Bathymetric Analysis

The asymptotic conditions at the water–sediment interface

z \to 0

are of particular interest because they determine the reflectivity in high-frequency bathymetric studies. A well-controlled reflection data set was created from sediment beds formed with bentonite, kaolinite, silica flour, fine sand, coarse sands, and cobbles. Table 2 summarizes the selected sediments and their index properties. The chamber is 300 mm in diameter and 600 mm in height. All tests are repeated with two crystal pairs to measure reflections at frequencies

f_{r} = 160

and 500 kHz [see details on transducer performance in Lee and Santamarina (2005b)]. The spacing between the source and receiver crystals is 20 mm in both cases.

Fig. 9 presents P-wave signatures reflected from a submerged steel plate placed at different depths. The multiple reflection events confirm phase inversion at the air–water interface and the combined effects of geometric spreading and material attenuation. The energy in the first reflection is used as a reference.

Fig. 10 presents the first reflection from the steel plate in comparison to reflections from the fine sand, silt, kaolinite, and bentonite beds, all at the same water depth. Clearly, the reflection amplitude is strongly related to sediment type and the ensuing asymptotic properties at very low effective stress

σ_{z}^{'} \to 0

near the water–sediment interface

z \to 0

. The mismatch in acoustic impedance

Z = ρ \cdot V_{P}

between the water column and the reflector defines the energy

E

in the reflected signal, i.e., the reflection coefficient. Then the relative reflection coefficient

R R

between a sediment bed and the steel target is

(11)

R R = \frac{E_{s}}{E_{s t}} = {[\frac{(Z_{w} + Z_{s t}) (Z_{w} - Z_{s})}{(Z_{w} - Z_{s t}) (Z_{w} + Z_{s})}]}^{2} = 1.14 \times {(\frac{1 - \frac{Z_{s}}{Z_{w}}}{1 + \frac{Z_{s}}{Z_{w}}})}^{2}

where the subscripts

s

w

, and

s t

indicate sediment, water, and steel, respectively. The “1.14” factor in the last mathematical expression corresponds to the water–steel interface (steel:

ρ = 7,900 kg / m^{3}

V_{P} = 5,900 m / s

; water:

ρ = 1,024 kg / m^{3}

V_{P} = 1,531 m / s

). Fig. 11 summarizes the energy-based

R R

measured for all sediments versus their mean grain size

d_{50}

. Sandy sediments exhibit the highest reflection coefficient, while the very soft bentonite bed produces the smallest coefficient. [Note that published results corroborate the importance of sediment type on reflectivity, for example, van Walree et al. (2005, 2006) and Snellen et al. (2011); attenuation in Panda et al. (1994); spectral strength in Sternlicht and de Moustier (2003).]

The sediment density

ρ_{s}

and P-wave velocity profiles for the six reference sediments explored earlier make it possible to estimate the theoretically computed

R R

[Eq. (11); refer to Figs. 3(b) and 7 for the sediment

ρ_{s}

and

V_{P}

]. Fig. 11 shows the theoretical reflection coefficient computed at different sediment depths from

z^{*} = 3

to 1,000 mm. The depth

z^{*} = 3 mm

relates to the wavelength

λ

f_{r} = 500 kHz

, while the impedance at depth

z^{*} = 150 mm

may be more relevant for the operating frequency of subbottom profilers

f_{r} = 10 kHz

. Data trends suggest a slope of approximately

1 / 4

for the

\log (R R)

versus the

\log (d_{50})

. The theoretically computed

R R

at depth

z^{*} = 3 mm

tracks the experimental data when the mean grain size

d_{50}

is smaller than

1 / 10

of the wavelength

λ = 3 mm

. Thereafter, the reflection coefficient decreases rapidly (Brillouin zone). Field data gathered with a single-beam echosounder (Snellen et al. 2011) show good agreement with the results presented here for silts and sands where the slope between the reflectivity and grain size is about

1 / 4

in log-log scale.

Asymptotic Void Ratio

The previously discussed bathymetric study shows that the mass density

ρ_{o}

at very low effective stress

σ_{z}^{'} \to 0

is the critical parameter for high-frequency seafloor reflection studies (leveled seafloor). The

ρ_{o}

corresponds to the asymptotic void ratio

e_{L}

[Eq. (4)]:

(12)

ρ_{o} = ρ_{w} [\frac{S_{G} + e_{L}}{1 + e_{L}}] (at depth z = 0)

Furthermore, the shear stiffness vanishes at

σ_{z}^{'} = 0

and

V_{S} = 0

. Then the P-wave velocity

V_{P}

z = 0

becomes [Eq. (9)]

(13)

V_{p} (z = 0) = \sqrt{\frac{B_{s}}{ρ_{s}}} = \sqrt{{[(\frac{ρ_{m} + ρ_{w} e_{L}}{1 + e_{L}}) \cdot (\frac{\frac{e_{L}}{1 + e_{L}}}{B_{w}} + \frac{1 - \frac{e_{L}}{1 + e_{L}}}{B_{m}})]}^{- 1}}

Finally,

R R

is a function of the asymptotic void ratio

e_{L}

[After Eq. (11)]:

(14)

R R = 1.14 \times {[1 - 2 \cdot {(\sqrt{\frac{S_{G} + e_{L}}{\frac{B_{w}}{B_{m}} + e_{L}}} + 1)}^{- 1}]}^{2}

Eq. (14) corresponds to the line for

z^{*} = 0

in Fig. 11. The relative reflection coefficients measured with the low-frequency and low-damping transducer are lower owing to the longer wavelength. In all cases, the asymptotic void ratio

e_{L}

for the six reference sediments successfully anticipates the lower bound for

R R

Clearly, the asymptotic void ratio

e_{L}

emerges as an important parameter, both for self-compaction and for the stiffness evolution with depth. The asymptotic void ratio

e_{L}

is inversely proportional to the median grain size

d_{50}

in clays and silts (due to the prevalent role of interparticle electrical forces) and is affected by pore fluid chemistry [see data in Mesri and Olson (1971), Studds et al. (1998), and Stewart et al. (2003)]. On the other hand, the asymptotic void ratio

e_{L}

is geometry-controlled by granular packings in sands and gravels. In fact, data in Table 1 for the six selected reference sediments suggest

e_{L} = 0.4 \cdot [1 + {(d_{50} / mm)}^{- 0.28}

]. For comparison, this equation agrees well with the central trend in Jackson and Richardson (2007), though their data are limited to

d_{50} = 10^{- 3}

to 1 mm). Admittedly, very high-plasticity clays can form stable slurries at higher void ratios in freshwater (Liu and Santamarina 2018); however, a skeleton capable of shear wave transmission is first detected at void ratios similar to

e_{L}

values used in this paper. Overall, this analysis suggests the potential use of reflection data to estimate the asymptotic void ratio

e_{L}

and to infer the sediment type.

Sediment Classification—Nomenclature

Semiempirical seabed classification methods that rely on low-perturbation acoustic reflection measurements exhibit large variations (Bachman 1985; Leblanc 1992; Panda et al. 1994). Factors such as surface roughness, bioturbation, and variability contribute to data scatter (Jackson and Briggs 1992; Jackson et al. 1996; Clarke 1994; Lyons and Orsi 1998; Jackson and Richardson 2007). Several commercially available software packages attempt to create seafloor backscatter mosaics (e.g., Fledermaus by QPS). Analyses advanced in this study support and extend these efforts by providing mutually compatible geotechnical and geoacoustic properties.

Sediment classification requires more information than what can be extracted from acoustic data. Therefore, acoustic seafloor surveys and sediment sampling combine to provide robust spatial distributions of seafloor sediment types (Goff et al. 2004). Sediment classification for engineering purposes helps engineers anticipate the sediment properties and behavior by grouping them into similar engineering response categories (Casagrande 1948; Kulhawy and Chen 2009). Unfortunately, current marine sediment classifications use a 50% fraction to separate sand from silt or clay (Shepard 1954; Folk et al. 1970; Flemming 2000). Indeed, the 50% boundary does not capture the transition from coarse-controlled to fines-controlled sediment behavior.

The newly revised soil classification system (RSCS) overcomes this limitation and classifies sediments as sand-controlled, transitional, or fines-controlled (Park and Santamarina 2017; Park et al. 2018); in particular, the RSCS captures the critical role of the fines fraction on geoacoustic properties. This is demonstrated with sand–silt mixtures in Fig. 12, where porosity, S- and P-wave velocities, and acoustic impedance data support the transition boundaries predicted by the RSCS: geoacoustic properties are sand-controlled up to a fines fraction of

F_{F} \approx 18 %

and become clay-controlled when the fines fraction exceeds

F_{F} \approx 37 %

. Transition boundaries shift to lower fines contents

F_{F}

for higher-plasticity fines. Furthermore, sediment analyses must consider the salt concentration in pore fluid when sediments are classified with a letter F in the RSCS triangular textural chart (Jang and Santamarina 2016, 2017).

References

Ali, H. B., and M. K. Broadhead. 1995. “Shear wave properties from inversion of Scholte wave data.” In Full field inversion methods in ocean and seismo-acoustics, 371–376. Dordrecht, Netherlands: Springer.

Andrén, T., B. B. Jørgensen, C. Cotterill, and S. Green. 2015a. “The IODP expedition 347 scientific party.” In Vol. 347 of Proc., Integrated Ocean Drilling Program, Site M0059. Washington, DC: Integrated Ocean Drilling Program Management International. https://doi.org/10.2204/iodp.proc.347.103.2015.

Andrén, T., B. B. Jørgensen, C. Cotterill, and S. Green. 2015b. “The IODP expedition 347 scientific party.” In Vol. 347 of Proc., Integrated Ocean Drilling Program, Site M0060. Washington, DC: Integrated Ocean Drilling Program Management International. https://doi.org/10.2204/iodp.proc.347.104.2015.

Andrén, T., B. B. Jørgensen, C. Cotterill, and S. Green. 2015c. “The IODP expedition 347 scientific party.” In Vol. 347 of Proc., Integrated Ocean Drilling Program, Site M0063. Washington, DC: Integrated Ocean Drilling Program Management International. https://doi.org/10.2204/iodp.proc.347.107.2015.

Bachman, R. T. 1985. “Acoustic and physical property relationships in marine sediment.” J. Acoust. Soc. Am. 78 (2): 616–621. https://doi.org/10.1121/1.392429.

Bibee, L. D., and L. M. Dorman. 1995. “Full waveform inversion of seismic interface wave data.” In Full field inversion methods in ocean and seismo-acoustics, 377–382. Dordrecht, Netherlands: Springer.

Briggs, K. B. 1994. “High-frequency acoustic scattering from sediment interface roughness and volume inhomogeneities.” Ph.D. dissertation, School of Marine and Atmospheric Science, Univ. of Miami.

Buchanan, J. L. 2005. An assessment of the Biot-Stoll model of a poroelastic seabed. Rep. No. NRL/MR/7140–05-8885. Washington DC: Acoustic Signal Processing Branch.

Buckingham, M. J. 2005. “Compressional and shear wave properties of marine sediments: Comparisons between theory and data.” J. Acoust. Soc. Am. 117 (1): 137–152. https://doi.org/10.1121/1.1810231.

Caiti, A., T. Akal, and R. D. Stoll. 1991. “Determination of shear velocity profiles by inversion of interface wave data.” In Shear waves in marine sediments, 557–565. Dordrecht, Netherlands: Springer.

Caiti, A., T. Akal, and R. D. Stoll. 1994. “Estimation of shear wave velocity in shallow marine sediments.” IEEE J. Oceanic Eng. 19 (1): 58–72. https://doi.org/10.1109/48.289451.

Carter, R. M., I. N. McCave, C. Richter, and L. Carter. 1999. “Leg 181 Summary: Southwest Pacific paleoceanography.” In Proc. Ocean Drill. Program, A, Initial Rep. 181. College Station, TX: Ocean Drilling Program, Texas A&M Univ.

Casagrande, A. 1948. “Classification and identification of soils.” Trans. ASCE 113 (1): 901–930.

Clarke, J. H. 1994. “Toward remote seafloor classification using the angular response of acoustic backscattering: A case study from multiple overlapping GLORIA data.” IEEE J. Ocean. Eng. 19 (1): 112–127. https://doi.org/10.1109/48.289456.

Cunny, R. W., and Z. B. Fry. 1973. “Vibratory in situ and laboratory soil moduli compared.” J. Geotech. Geoenviron. Eng. 99 (12): 1055–1076.

Day, R. W. 2000. Geotechnical engineer’s portable handbook. New York: McGraw-Hill.

D’Hondt, S., F. Inagaki, and C. A. Alvarez Zarikian. 2011. “The expedition 329 scientists.”In Proc. IODP, 329. Tokyo: Integrated Ocean Drilling Program Management International. https://doi.org/10.2204/iodp.proc.329.112.2011.

D’Hondt, S. L., et al. 2003. “Site 1226.” In Proc. ODP, Init. Repts., 201, edited by S. L. D’Hondt, B. B. Jørgensen, D. J. Miller, et al., 1–96. College Station, TX: Ocean Drilling Program, Texas A&M Univ: Ocean Drilling Program. https://doi.org/10.2973/odp.proc.ir.201.107.2003.

Feary, D. A., A. C. Hine, and M. J. Malone. 2000. In Proceedings of ODP: Ocean Drilling Program. Initial Reports, 182. College Station, TX: Ocean Drilling Program, Texas A&M Univ.

Ferdelman, T. G., A. Kano, T. Williams, and J.-P. Henriet. 2006. “The Expedition 307 Scientists. Site U1316.” In Proc. IODP, 307: Washington, DC: Integrated Ocean Drilling Program Management International. https://doi.org/10.2204/iodp.proc.307.103.2006.

Fisher, A. T., T. Urabe, and A. Klaus. 2005. “The Expedition 301 Scientists. Site U1301.” In Proc. IODP, 301. College Station, TX: Integrated Ocean Drilling Program Management International. https://doi.org/10.2204/iodp.proc.301.106.2005.

Giao, P. H., N. T. Dung, and P. V. Long. 2008. “An integrated geotechnical–geophysical investigation of soft clay at a coastal site in the Mekong Delta for oil and gas infrastructure development.” Can. Geotech. J. 45 (11): 1514–1524. https://doi.org/10.1139/T08-077.

Goff, J. A., B. J. Kraft, L. A. Mayer, S. G. Schock, C. K. Sommerfield, H. C. Olson, S. P. Gulick, and S. Nordfjord. 2004. “Seabed characterization on the New Jersey middle and outer shelf: Correlatability and spatial variability of seafloor sediment properties.” Mar. Geol. 209 (1–4): 147–172. https://doi.org/10.1016/j.margeo.2004.05.030.

Goldhammer, R. K. 1997. “Compaction and decompaction algorithms for sedimentary carbonates.” J. Sediment. Res. 67 (1): 26–35.

Grant, J. A., and R. Schreiber. 1990. “Modern swathe sounding and sub-bottom profiling technology for research applications: The Atlas Hydrosweep and Parasound systems.” In Marine geological surveying and sampling, 9–19. Dordrecht, Netherlands: Springer.

Gregory, A. S., W. R. Whalley, C. W. Watts, N. R. A. Bird, P. D. Hallett, and A. P. Whitmore. 2006. “Calculation of the compression index and precompression stress from soil compression test data.” Soil Tillage Res. 89 (1): 45–57. https://doi.org/10.1016/j.still.2005.06.012.

Hamilton, E. L. 1979. “Vp/Vs and Poisson’s ratios in marine sediments and rocks.” J. Acoust. Soc. Am. 66 (4): 1093–1101. https://doi.org/10.1121/1.383344.

Hamilton, E. L., and R. T. Bachman. 1982. “Sound velocity and related properties of marine sediments.” J. Acoust. Soc. Am. 72 (6): 1891–1904. https://doi.org/10.1121/1.388539.

Holzer, T. L., M. J. Bennett, T. E. Noce, and J. C. Tinsley. 2005. “Shear-wave velocity of surficial geologic sediments in northern California: Statistical distributions and depth dependence.” Earthquake Spectra 21 (1): 161–177. https://doi.org/10.1193/1.1852561.

Hong, Z. S., L. L. Zeng, Y. J. Cui, Y. Q. Cai, and C. Lin. 2012. “Compression behaviour of natural and reconstituted clays.” Géotechnique 62 (4): 291–301. https://doi.org/10.1680/geot.10.P.046.

Inagaki, F., M. Suzuki, K. Takai, H. Oida, T. Sakamoto, K. Aoki, K. H. Nealson, and K. Horikoshi. 2003. “Microbial communities associated with geological horizons in coastal subseafloor sediments from the Sea of Okhotsk.” Appl. Environ. Microbiol. 69 (12): 7224–7235. https://doi.org/10.1128/AEM.69.12.7224-7235.2003.

Jackson, D. R., and K. B. Briggs. 1992. “High-frequency bottom backscattering: Roughness versus sediment volume scattering.” J. Acoust. Soc. Am. 92 (2): 962–977. https://doi.org/10.1121/1.403966.

Jackson, D. R., K. B. Briggs, K. L. Williams, and M. D. Richardson. 1996. “Tests of models for high-frequency seafloor backscatter.” IEEE J. Ocean. Eng. 21 (4): 458–470. https://doi.org/10.1109/48.544057.

Jackson, D. R., and M. D. Richardson. 2007. High-frequency seafloor acoustics. New York: Springer.

Johns, M. W. 1986. Consolidation and permeability characteristics of Japan Trench and Nankai Trough sediments from Deep Sea Drilling Project Leg 87. College Station, TX: Deep Sea Drilling Project, Texas A&M Univ.

Kang, X., G. C. Kang, and B. Bate. 2014. “Measurement of stiffness anisotropy in kaolinite using bender element tests in a floating wall consolidometer.” Geotech. Test. J. 37 (5): 869–883. https://doi.org/10.1520/GTJ20120205.

Keller, G. H., and R. H. Bennett. 1973. Sediment mass physical properties—Panama basin and northeastern equatorial pacific. Initial Reports of the Deep Sea Drilling Project, 499–512. College Station, TX: Deep Sea Drilling Project, Texas A&M Univ.

Kjaernsli, B. and A. Sande. 1963. “Compressibility of some coarse-grained materials.” In Vol. 1 of Proc., 1st European Conf. on Soil Mechanics and Foundation Engineering, 245–251. Budapest: Akad. Kiadó.

Kominz, M., K. Patterson, and D. Odette. 2011. “Lithology dependence of porosity in slope and deep marine sediments.” J. Sediment. Res. 81 (10): 730–742. https://doi.org/10.2110/jsr.2011.60.

Ku, T. 2012. “Geostatic stress state evaluation by directional shear wave velocities, with application towards geocharacterization at Aiken, SC.” Ph.D. thesis, School of Civil and Environmental Engineering, Georgia Institute of Technology.

Leblanc, L. R. 1992. “Sonar attenuation modeling for classification of marine sediments.” J. Acoust. Soc. Am. 91 (1): 116–126. https://doi.org/10.1121/1.402759.

Lee, J. S., and J. C. Santamarina. 2005b. “P-wave reflection imaging.” Geotech. Test. J. 28 (2): 197–206.

Lovell, M. A., and P. Ogden. 1984. Remote assessment of permeability/thermal diffusivity of consolidated clay sediments. Rep. No. EUR–9206. Luxembourg: Directorate-General Science. Research and Development.

Lyons, A. P., and T. H. Orsi. 1998. “The effect of a layer of varying density on high-frequency reflection, forward loss, and backscatter.” IEEE J. Ocean. Eng. 23 (4): 411–422. https://doi.org/10.1109/48.725235.

Moridis, G. J., et al. 2011. “Challenges, uncertainties, and issues facing gas production from gas-hydrate deposits.” SPE Reservoir Eval. Eng. 14 (1): 76–112. https://doi.org/10.2118/131792-PA.

Mottl, M. J., et al. 1994. “Site 858.” In Vol. 139 of Proc., Ocean Drilling Program, Scientific Results, Middle Valley, Juan de Fuca Ridge. College Station, TX: Ocean Drilling Program, Texas A&M Univ.

Muir, T. G., A. Caiti, J. M. Hovem, T. Akal, M. D. Richardson, and R. D. Stoll. 1991. “Comparison of techniques for shear wave velocity and attenuation measurements.” In Shear waves in marine sediments, 283–294. Dordrecht, Netherlands: Springer.

Palomino, A. M., and J. C. Santamarina. 2005. “Fabric map for kaolinite: Effects of pH and ionic concentration on behavior.” Clays Clay Miner. 53 (3): 211–223. https://doi.org/10.1346/CCMN.2005.0530302.

Panda, S., L. R. LeBlanc, and S. G. Schock. 1994. “Sediment classification based on impedance and attenuation estimation.” J. Acoust. Soc. Am. 96 (5): 3022–3035. https://doi.org/10.1121/1.411266.

Park, J. 2018. “Long-term response of soils subjected to repetitive mechanical loads: Engineering implications.” Ph.D. thesis, School of Civil and Environmental Engineering, Georgia Institute of Technology.

Richardson, M. D., and K. B. Briggs. 1993. “On the use of acoustic impedance values to determine sediment properties.” Proc. Inst. Acoust. 15: 15–23.

Richardson, M. D., E. Muzi, B. Miaschi, and F. Tugutcan. 1991. “Shear wave gradients in near-surface marine sediments.” In Shear waves in marine sediments, 295–304. Dordrecht, Netherlands: Kluwer.

Roesler, S. K. 1979. “Anisotropic shear modulus due to stress anisotropy.” J. Geotech. Eng. Div. 105 (7): 871–880.

Santamarina, J. C., and G. C. Cho. 2004. “Soil behaviour: The role of particle shape.” In Vol. 1 of Proc., Advances in Geotechnical Engineering: The Skempton Conf., edited by R. J. Jardine, D. M. Potts, and K. G. Higgins, 604–617. London: Thomas Telford.

Santamarina, J. C., K. A. Klein, and M. A. Fam. 2001. Soils and waves: Particulate materials behavior, characterization and process monitoring. New York: Wiley.

Sauter, A. W. 1987. “Studies of the upper oceanic floor using ocean bottom seismometers.” Ph.D. dissertation, Scripps Institution of Oceanography, Univ. of California San Diego.

Schrottke, K., M. Becker, A. Bartholomä, B. W. Flemming, and D. Hebbeln. 2006. “Fluid mud dynamics in the Weser estuary turbidity zone tracked by high-resolution side-scan sonar and parametric sub-bottom profiler.” Geo-Mar. Lett. 26 (3): 185–198. https://doi.org/10.1007/s00367-006-0027-1.

Schultheiss, P. J. 1981. “Simultaneous measurement of P & S wave velocities during conventional laboratory soil testing procedures.” Mar. Georesour. Geotech. 4 (4): 343–367. https://doi.org/10.1080/10641198109379831.

Shepard, F. P. 1954. “Nomenclature based on sand-silt-clay ratios.” J. Sediment. Petrol. 24 (3): 151–158.

Snellen, M., K. Siemes, and D. G. Simons. 2011. “Model-based sediment classification using single-beam echosounder signals.” J. Acoust. Soc. Am. 129 (5): 2878–2888. https://doi.org/10.1121/1.3569718.

Sternlicht, D. D., and C. P. de Moustier. 2003. “Remote sensing of sediment characteristics by optimized echo-envelope matching.” J. Acoust. Soc. Am. 114 (5): 2727–2743. https://doi.org/10.1121/1.1608019.

Stoll, R. D., G. M. Bryan, R. Mithal, and R. Flood. 1991. “Field experiments to study seafloor seismoacoustic response.” J. Acoust. Soc. Am. 89 (5): 2232–2240. https://doi.org/10.1121/1.400915.

Takai, K., M. J. Mottl, S. H. Nielsen, and the Expedition 331 Scientists. 2011. “Site C0013.” In Proc. IODP, 331. Tokyo: Integrated Ocean Drilling Program Management International. https://doi.org/10.2204/iodp.proc.331.103.2011.

Terzariol, M., J. Park, G. M. Castro, and J. C. Santamarina. 2020. “Methane hydrate-bearing sediments: Pore habit and implications.” Mar. Pet. Geol. 116: 104302.

Van Walree, P. A., M. A. Ainslie, and D. G. Simons. 2006. “Mean grain size mapping with single-beam echo sounders.” J. Acoust. Soc. Am. 120 (5): 2555–2566. https://doi.org/10.1121/1.2345907.

Van Walree, P. A., J. Tęgowski, C. Laban, and D. G. Simons. 2005. “Acoustic seafloor discrimination with echo shape parameters: A comparison with the ground truth.” Cont. Shelf Res. 25 (18): 2273–2293. https://doi.org/10.1016/j.csr.2005.09.002.

Wang, Y. H., and W. K. Siu. 2006. “Structure characteristics and mechanical properties of kaolinite soils. I. Surface charges and structural characterizations.” Can. Geotech. J. 43 (6): 587–600. https://doi.org/10.1139/t06-026.

Wunderlich, J., G. Wendt, and S. Müller. 2005. “High-resolution echo-sounding and detection of embedded archaeological objects with nonlinear sub-bottom profilers.” Mar. Geophys. Res. 26 (2–4): 123–133. https://doi.org/10.1007/s11001-005-3712-y.

Youd, T. L. 1973. “Factors controlling maximum and minimum densities of sands.” ASTM Spec. Tech. Publ. 523: 98–112.

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