Lect.9 Design

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Transcript of Lect.9 Design

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Lecture items

- Sonic log

* Definition.

* Types* Units & Presentation.

* Theories of measurement.

* Factors affecting on log readings.

* Applications.

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The sonic log is a porosity log that measuresinterval transit time (Δt) of a compressional

sound wave traveling through one foot of 

formation. The sonic log device consists of one

or more sound transmitters, and two or morereceivers. Interval transit time  time  (Δt) in

microseconds per foot is the reciprocal of the

velocity of a compressional sound wave in feet

per second. Interval transit time is recorded in

tracks #2 and #3. The interval transit time is

dependent upon both lithology and porosity.

Definition

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Tools used to acquire this measurement include the borehole-

compensated tool, a slim tool version that can be run through

tubing; and the long-spacing sonic tool. These tools includetransmitter transducers that convert electrical energy into

mechanical energy and receiver transducers that do the reverse.

In its simplest form, the measurement is made in an

uncompensated mode 

The BHC sonic tool uses multiple transmitters and receivers toobtain two values of Δt, which were then averaged. The net result

of this system was the elimination of errors in Δt due to sonde tilt

and hole size variation. Even so, there were practical limits to the

working range of the tool (e.g., in large holes).

The long-spacing sonic tool was next introduced in an attempt to

overcome borehole environmental problems by reading acoustic

travel time deeper within the formation and further from the

borehole. Deeper investigation requires a longer transmitter-receiver 

spacing, so long-spacing sonic tools typically have a transmitter-

receiver spacing of 8, 10, or 12 ft.

Types

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Curves recorded on acoustic logs may include the interval

transit time, caliper, gamma ray and/or SP, and integratedtravel time. The primary measurement of interest will be

the interval transit time (Δt), measured in microseconds per 

foot (µsec/ft) which is the reciprocal of the velocity of a

compressional sound wave in feet per second.

Integrated travel time is presented as a series of pips

located immediately to the right of the depth track. Short

pips represent 1 ms of travel time, with a large pip every

10 ms. Integrated travel time is used to help tie well depth

to seismic sections. Travel time between two depths isobtained by counting the pips in the interval between the

two points . 

Units and presentation

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Borehole Compensated Sonic Tool illustrates the principle of this logging tool

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The interval transit time (Δt) is dependent upon both lithology

and porosity. Therefore, a formation’s matrix velocity must be

known to derive sonic porosity either by chart or by the

following formula (Wyllie et al, 1956). 

ma  f  

ma

 sonict t 

t t 

log 

 

Where: 

Øsonic = sonic derived porosity in clean formation 

Δtma = interval transit time of the matrix Δtlog = interval transit time of formation 

Δtf  = interval transit time of the fluid in the well bore (fresh mud = 189; salt mud = 185) 

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The Wyllie et al formula for calculating sonic porosity can be used to determine

porosity in consolidated sandstones and carbonates with intergranular porosity

(grainstones) or intrecrystalline porosity (sucrosic dolomites). However, when

sonic porosities of carbonates with vuggy or fracture porosity are calculated by

the Wyllie formula, porosity values will be too low. This will happen because thesonic log only records matrix porosity rather than vuggy or fracture secondary

porosity. The percentage of vuggy or fracture secondary porosity can be

calculated by subtracting sonic porosity from total porosity. Total porosity

values are obtained from one of the nuclear logs (i.e. density or neutron).

Where a sonic log is used to determine porosity in unconsolidated sands, an

empirical compaction factor or Cp should be added to the Wyllie et al equation:Where:

Cpt t 

t t 

ma  f  

ma

 sonic

1log

 

sonic = sonic derived porosity 

tma = interval transit time of the matrix. 

tlog = interval transit time of formation 

tf  = interval transit time of the fluid in the well bore 

(fresh mud = 189; salt mud = 185) 

Cp = compaction factor  

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The compaction factor is obtained from the following formula:

Where:

Cp = compaction factor 

tsh = interval transit time for adjacent shaleC = a constant which is normally 1.0 (Hilchie, 1978)

The interval transit time (Δt) of a formation is increased due to the presence

of hydrocarbons (i.e. hydrocarbon effect). If the effect of hydrocarbons is not

corrected, the sonic derived porosity will be too high.

Hilchie suggests the following empirical corrections for hydrocarbon effect:

Ø = ØSonic x 0.7 (gas)

Ø = Øsonic x 0.9 (oil) 

100ct Cp Sh

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 Acoustic tools measure the speed of sound waves in subsurface formations. While

the acoustic log can be used to determine porosity in consolidated formations, it is

also valuable in other applications, such as:- Indicating lithology (using the ratio of compressional velocity over shear velocity),

- Determining integrated travel time (an important tool for seismic/wellbore

correlation),

- Correlation with other wells,

- Detecting fractures and evaluating secondary porosity,

- Evaluating cement bonds between casing, and formation,

- Detecting over-pressure,

- Determining mechanical properties (in combination with the density log),

- Determining acoustic impedance (in combination with the density log).

 Applications

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The formation density log is a porosity log that measures electron 

densi ty of a formation.

Density Log

The density logging device is a contact tool which consists of a

medium-energy gamma ray source that emits gamma rays into a

formation. The gamma ray source is either Cobalt-60 or Cesium-

137.

 A density derived porosity curve is sometimes presented in tracks

#2 and #3 along with the bulk density and correction curve . The

most frequently used scales are a range of 2.0 to 3.0 gm/cc or 1.95

to 2.95 gm/cc across two tracks. Track #1 contains a gamma ray

log and caliper  

Formulation bulk density  is a function of matrix density,porosity, and density of the fluid in the pores (salt, mud, fresh

mud, or hydrocarbons). Density is one of the most important

pieces of data in formation evaluation. In the majority of the

wells drilled, density is the primary indicator of porosity. In

combination with other measurements, it may also be used to

indicate lithology and formation fluid type.

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This tool is a contact-type tool; i.e., the skid device must ride against the side of 

the borehole to measure accurately.

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Gamma rays can react with matter in three distinct manners:

· Photoelectric effect, where a gamma ray collides with an

electron, is absorbed, and transfers all of its energy to that electron. In

this case, the electron is ejected from the atom.

· Compton scattering, where a gamma ray collides with anelectron orbiting some nucleus. In this case, the electron is ejected

from its orbit and the incident gamma ray loses energy.

· Pair production, where a gamma ray interacts with an atom to

produce an electron and positron. These will later recombine to form

another gamma ray.

Photoelectric interaction can be monitored to find the lithology-related

parameter, Pe. For the conventional density measurement, only the

Compton scattering of gamma rays is of interest. Conventionallogging sources do not emit gamma rays with sufficient energies to

induce pair production, therefore pair production will not be a topic of 

this discussion.

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To determine density porosity, either by chart or by

calculation, the matrix density and type of fluid in the

borehole must be known. The formula for calculating density

porosity is: 

  f  ma

bma

    

    

Where invasion of formation is shallow, low density of the

formation’s hydrocarbon will increase density porosity. Oil doesnot significantly affect density porosity, but gas does (gas affect).

Hilchie (1978) suggests using a gas density of 0.7 gm/cc for fluid

density (pf ) in the density porosity formula if gas density in

unknown.

The density log gives reliable porosity values, provided theborehole is smooth, the formation is shale-free, and the pore

space does not contain gas. In shaly formations and/or gas-

bearing zones, it is necessary to refine the interpretative

model to make allowances for these additions or substitutions

to the rock system.

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LITHOLOGIC DENSITY TOOL

The Pe, or lithodensity log, run with the lithodensity tool (LDT), is

another version of the standard formation density log. In addition tothe bulk density (rb), the tool also measures the photoelectric

absorption index (Pe) of the formation. This new parameter 

enables a lithological interpretation to be made without prior 

knowledge of porosity.

The photoelectric effect occurs when a gamma ray collides with an

electron and is absorbed in the process, so that all of its energy is

transferred to the electron. The probability of this reaction taking

place depends upon the energy of the incident gamma rays and the

type of atom. The photoelectric absorption index of an atomincreases as its atomic number, Z, increases.

Pe = (0.1 . Zeff) 3.6

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The lithodensity tool is similar to a conventional density logging device,

and uses a skid containing a gamma ray source and two gamma ray

detectors held against the borehole wall by a spring-actuated arm.

Gamma rays are emitted from the tool and are scattered by the

formation, losing energy until they are absorbed via the photoelectriceffect.

 At a finite distance from the source, there is a gamma ray energy

spectrum as shown in in the figure given below. Variation in

Gamma Ray Spectrum for Formations of Different Densities.

This Figure also shows that an increase in the formation density

results in a decrease in the number of gamma rays detected

over the whole spectrum.

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For formations of constant density but different photoelectric

absorption coefficients, the gamma ray spectrum is only altered at

lower energies, as indicated in the next figure . 

Observing the gamma ray spectrum, we notice that region H only

supplies information relating to the density of the formation,

whereas region L provides data relating to both the electron

density and the Pe value. By comparing the counts in the energy

windows H and L, the Pe can be measured. The gamma ray

spectrum at the short spacing detector is only analyzed for adensity measurement, which is used to correct the formation

density determined from the long spacing spectrum for effects of 

mud-cake and rugosity.

The photoelectric absorption coefficient is virtually independent of 

porosity, there being only a slight decrease in the coefficient asthe porosity increases. Similarly, the fluid content of the formation

has little effect. Simple lithologies, such as pure sandstone and

anhydrite, can be read directly from logs using Pe curves. Look

for the following readings in the most commonly occurring

reservoir rocks and evaporites.

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Pe Material 

1.81 Sand 

3-4 Shale 

5.08 Limestone 

3.14 Dolomite 

4.65 Salt 

5.05  Anhydrite 

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It can assist the geologist to: (1) identify

evaporite minerals, (2) detect gas-

bearing zones, (3) determine

hydrocarbon density, and (4) evaluateshaly sand reservoirs and complex

lithologies.

 Application of density log