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Initial Unit Weight given Average Unit Weight of Deposit Formula

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Initial Unit Weight represents the weight (mass multiplied by gravity) per unit volume of sediment deposition at the initial phase. Check FAQs

W T1 = W av - (0.4343 \cdot B w) \cdot (((\frac{T}{T - 1}) \cdot \ln (T)) - 1)

W_T1 - Initial Unit Weight?W_av - Average Unit Weight of Deposit?B_w - Weighted Value of B?T - Age of Sediment?

Initial Unit Weight given Average Unit Weight of Deposit Example

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Here is how the Initial Unit Weight given Average Unit Weight of Deposit equation looks like with Values.

Here is how the Initial Unit Weight given Average Unit Weight of Deposit equation looks like with Units.

Here is how the Initial Unit Weight given Average Unit Weight of Deposit equation looks like.

15.0008 = 15.06 - (0.4343 \cdot 7) \cdot (((\frac{25}{25 - 1}) \cdot \ln (25)) - 1)

15.0008kN/m³ = 15.06kN/m³ - (0.4343 \cdot 7) \cdot (((\frac{25Year}{25Year - 1}) \cdot \ln (25Year)) - 1)

15.0008 = 15.06 - (0.4343 \cdot 7) \cdot (((\frac{25}{25 - 1}) \cdot \ln (25)) - 1)

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Initial Unit Weight given Average Unit Weight of Deposit Solution

Follow our step by step solution on how to calculate Initial Unit Weight given Average Unit Weight of Deposit?

FIRST Step Consider the formula

W T1 = W av - (0.4343 \cdot B w) \cdot (((\frac{T}{T - 1}) \cdot \ln (T)) - 1)

Next Step Substitute values of Variables

∴

W T1 = 15.06kN/m³ - (0.4343 \cdot 7) \cdot (((\frac{25Year}{25Year - 1}) \cdot \ln (25Year)) - 1)

Next Step Convert Units

∴

W T1 = 15060N/m³ - (0.4343 \cdot 7) \cdot (((\frac{7.9E+8s}{7.9E+8s - 1}) \cdot \ln (7.9E+8s)) - 1)

Next Step Prepare to Evaluate

∴

W T1 = 15060 - (0.4343 \cdot 7) \cdot (((\frac{7.9E+8}{7.9E+8 - 1}) \cdot \ln (7.9E+8)) - 1)

Next Step Evaluate

∴

W T1 = 15000.7600632026N/m³

Next Step Convert to Output's Unit

∴

W T1 = 15.0007600632026kN/m³

LAST Step Rounding Answer

∴

W T1 = 15.0008kN/m³

Initial Unit Weight given Average Unit Weight of Deposit Formula Elements

Variables

Functions

Initial Unit Weight

Initial Unit Weight represents the weight (mass multiplied by gravity) per unit volume of sediment deposition at the initial phase.

Symbol: W_T1

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Initial Unit Weight

Average Unit Weight of Deposit

Average Unit Weight of Deposit refers to the weight per unit volume of sediment material deposited in a reservoir during a specific period.

Symbol: W_av

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Average Unit Weight of Deposit

Weighted Value of B

Weighted Value of B in decimal, is the weightages of sand, silt and clay samples present in fraction form.

Symbol: B_w

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Weighted Value of B

Age of Sediment

Age of Sediment is the time elapsed since the material was deposited in years.

Symbol: T

Measurement: TimeUnit: Year

Note: Value should be greater than 0.

Formulas to find Age of Sediment

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Density of Sediment Deposits category

Go Rough Estimation for Unit Weight of Deposit by Koelzer and Lara Formula

W T = ((\frac{p sa}{100}) \cdot (W 1 + B 1 \cdot \log 10 (T))) + ((\frac{p si}{100}) \cdot (W 2 + B 2 \cdot \log 10 (T))) + ((\frac{p cl}{100}) \cdot (W 3 + B 3 \cdot \log 10 (T)))

Go Percentage of Sand given Unit Weight of Deposit

p sa = \frac{(W av) - ((\frac{p si}{100}) \cdot (W 2 + B 2 \cdot \log 10 (T))) - ((\frac{p cl}{100}) \cdot (W 3 + B 3 \cdot \log 10 (T)))}{\frac{W 1 + B 1 \cdot \log 10 (T)}{100}}

Go Percentage of Silt for Unit Weight of Deposits

p si = \frac{(W av) - ((\frac{p sa}{100}) \cdot (W 1 + B 1 \cdot \log 10 (T))) - ((\frac{p cl}{100}) \cdot (W 3 + B 3 \cdot \log 10 (T)))}{\frac{W 2 + B 2 \cdot \log 10 (T)}{100}}

Go Percentage of Clay given Unit Weight of Deposit

p cl = \frac{(W av) - ((\frac{p sa}{100}) \cdot (W 1 + B 1 \cdot \log 10 (T))) - ((\frac{p si}{100}) \cdot (W 2 + B 2 \cdot \log 10 (T)))}{\frac{W 3 + B 3 \cdot \log 10 (T)}{100}}

How to Evaluate Initial Unit Weight given Average Unit Weight of Deposit?

Initial Unit Weight given Average Unit Weight of Deposit evaluator uses Initial Unit Weight = Average Unit Weight of Deposit-(0.4343*Weighted Value of B)*(((Age of Sediment/(Age of Sediment-1))*ln(Age of Sediment))-1) to evaluate the Initial Unit Weight, The Initial Unit Weight given Average Unit Weight of Deposit formula is defined as the unit weight of deposition of sediments in the reservoir during the initial period given the average unit weight of sediment deposits. Initial Unit Weight is denoted by W_T1 symbol.

How to evaluate Initial Unit Weight given Average Unit Weight of Deposit using this online evaluator? To use this online evaluator for Initial Unit Weight given Average Unit Weight of Deposit, enter Average Unit Weight of Deposit (W_av), Weighted Value of B (B_w) & Age of Sediment (T) and hit the calculate button.

FAQs on Initial Unit Weight given Average Unit Weight of Deposit

What is the formula to find Initial Unit Weight given Average Unit Weight of Deposit?

The formula of Initial Unit Weight given Average Unit Weight of Deposit is expressed as Initial Unit Weight = Average Unit Weight of Deposit-(0.4343*Weighted Value of B)*(((Age of Sediment/(Age of Sediment-1))*ln(Age of Sediment))-1). Here is an example- 0.014991 = 15060-(0.4343*7)*(((788923800/(788923800-1))*ln(788923800))-1).

How to calculate Initial Unit Weight given Average Unit Weight of Deposit?

With Average Unit Weight of Deposit (W_av), Weighted Value of B (B_w) & Age of Sediment (T) we can find Initial Unit Weight given Average Unit Weight of Deposit using the formula - Initial Unit Weight = Average Unit Weight of Deposit-(0.4343*Weighted Value of B)*(((Age of Sediment/(Age of Sediment-1))*ln(Age of Sediment))-1). This formula also uses Natural Logarithm (ln) function(s).

Can the Initial Unit Weight given Average Unit Weight of Deposit be negative?

No, the Initial Unit Weight given Average Unit Weight of Deposit, measured in Specific Weight cannot be negative.

Which unit is used to measure Initial Unit Weight given Average Unit Weight of Deposit?

Initial Unit Weight given Average Unit Weight of Deposit is usually measured using the Kilonewton per Cubic Meter[kN/m³] for Specific Weight. Newton per Cubic Meter[kN/m³], Newton per Cubic Centimeter[kN/m³], Newton per Cubic Millimeter[kN/m³] are the few other units in which Initial Unit Weight given Average Unit Weight of Deposit can be measured.

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Initial Unit Weight given Average Unit Weight of Deposit Formula

Initial Unit Weight given Average Unit Weight of Deposit Example

Initial Unit Weight given Average Unit Weight of Deposit Solution

Initial Unit Weight given Average Unit Weight of Deposit Formula Elements

Other formulas in Density of Sediment Deposits category

How to Evaluate Initial Unit Weight given Average Unit Weight of Deposit?

FAQs on Initial Unit Weight given Average Unit Weight of Deposit

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