|
Please be fair to the author. Pay your Shareware fee HERE, and receive the CD-ROM at no extra cost. |
||||||||||||||||||
|
ELECTRICAL and SPONTANEOUS POTENTIAL LOGS
The Electrical Survey, also known as the ES Log, measures resistivity with direct current (DC) or low frequency alternating current (AC) using the principles of Ohm’s Law. The basic measuring system has two current electrodes, A and B, and two voltage measuring electrodes, M and N. A current is passed between A and B, and the resulting voltage is measured at M and N, as in illustrations shown below.
If the formation is uniform, the formation resistivity, Rt, can be computed from the formula Rt = K * V / I, where V is the voltage between M and N, and I the intensity of the current flowing from A to B. K is a geometric factor that depends upon the relative distance between A, B, M, and N and is a constant for a given electrode arrangement. In practice, the formula gives a weighted average resistivity of the formation, including a small portion of the borehole. This average is known as the apparent resistivity, Ra. Borehole environment correction charts, available from service company chartbooks, are used to correct Ra to approximate Rt. Modern computer software is available to convert Ra to Rt using sophisticated resistivity inversion mathematics, based on an earth model derived from a short spacing resistivity curve. Two types of electrode arrangements are used, the Normal device, and the Lateral device. The electrode arrangement and basic circuitry of the Normal device are illustrated above. Electrodes A and M are on an insulating mandrel, called the probe or sonde or logging tool, which is suspended at the end of the logging cable. Electrodes B and N are placed far from A and M, and are either at the surface of the ground or on the cable at a long distance from A and M. The distance AM is known as the spacing. The depth reference point of the measurement is the midpoint between A and M. The usual electric log has two Normal devices with spacings of 16 inches (short Normal) and 64 inches (long Normal). The depth of investigation is in the order of the spacing. For the actual Lateral device, current electrodes A and B are placed on the probe. Voltage electrode M is above the current electrodes, generally on the cable, as shown below. Note that the AB and MN electrodes can be interchanged, with no change in the measured result (the law of reciprocity). Electrode N is at the surface of the ground or on the cable at a large distance above A. The midpoint between A and B is the depth reference point, O. The distance MO, usually referred to as AO on log headings (in honour of the original tool design), is defined as the spacing: it is always several times longer than the span AB. With the usual electric log, the spacing is 18 feet 8 inches, and the span is 32 inches.
The Lateral curve has strange curve-shape artifacts that reduce its usefulness in formations less than 20 feet thick. Complicated interpretation rules are required for thinner beds. Modern resistivity log inversion software is available, using the 16” Normal for bed thickness control, so that Rt can be calculated from the Lateral curve. In practice, the Lateral curve, two
Normal curves and the Spontaneous Potential are recorded, using
a mechanical switch, called a pulsator, to sequentially make
the four measurements using only six electrodes (and six wires
to the surface).
Notes: * = optional curve. Abbreviations varied between service companies - common abbreviations are shown as well as the generic abbreviation as used elsewhere in this Handbook.
Curves Units
Abbreviations
Notes: * = optional curve. Abbreviations varied between service companies - common abbreviations are shown as well as the generic abbreviation as used elsewhere in this Handbook.
* Point Source
ohm-m Z, or POINT Note: Halliburton inverse lateral is same electrode configuration as Schlumberger lateral (blind spot at bottom of zone). Lateral and normal spacings could vary. Point resistivity is uncalibrated (even though a scale is shown) and cannot be used quantitatively. The letter "Z" stands for impedance, confirming that these logs were run with AC instead of DC systems.
A
set of rules for picking a value for Rt from ES logs has been
available for many years, as reproduced below. Modern resistivity inversion software can be used to resolve the lateral curve shape problem in many cases.
This is a passive measurement. That is, no energy is provided by the logging tool. There is no SP until the borehole is drilled and filled with conductive muds. This contrasts with telluric currents caused by solar radiation and Northern Lights, and man-made currents from power lines, cathodic protection of pipelines, and welding equipment grounded to the rig while logging proceeds. All these currents can persist without a borehole, but more importantly, can cause anomalies on the SP log, and in some cases rendering it useless. The SP is the result of several electromotive forces: shale membrane potential Em, liquid-junction potential Ej, and electro-kinetic potential Ek. The measured SP is the sum of these three voltages. Shales are permeable to sodium ions (Na+) but impervious to chloride ions (Cl-). When a shale separates two sodium chloride solutions of different concentration (the mud in the borehole and the water in the formation), sodium ions migrate by diffusion from the higher concentration into the lower concentration. This movement of positive charges builds up a voltage known as shale potential or membrane potential Em. When two sodium chloride solutions of different concentration are separated by a semi-permeable partition that permits the passage of ions from one side to the other, but prevents bulk mixing of the two solutions, ions migrate by diffusion from the concentrated solution to the dilute solution. This happens at the boundary between the invaded and un-invaded zones. The negative chloride ions have a greater mobility than the positive sodium ions. There is a net transfer of negative electric charges from the more concentrated solution to the less concentrated. The resulting electromotive force is known as the liquid-junction potential Ej. The passage of an electrolyte through a porous medium also produces an electromotive force, called electro-kinetic potential, Ek, between any two points along the electrolyte flow path. For example, an electro-kinetic potential is developed when mud filtrate passes through a mud cake into the formation. The value of this potential is small and is commonly disregarded in electrical logging. The current loops shown below circulate between shale, borehole, invaded zone, and un-invaded zone and back to the shale. They represent the sum of membrane and liquid junction potentials, which is known as the electrochemical component of the SP. The curve to the left is the corresponding SP curve as measured by a real tool. The square static SP is the theoretical shape of a perfect SP curve.
The numerical values of the electromotive forces depend on the type and quantity of dissolved salts. The electrochemical component of the SP is defined mathematically by:
1: Ec = Em + Ej = –K * log(Aw / Amf)
In situations with pure sodium chloride (NaCL) solutions,
the SP equation becomes:
The 64” normal, with or without borehole corrections, is often taken as a measure of deep resistivity RESD (or Rt). Resistive beds are thinner on logs than the true thickness, by a distance equal to the tool spacing (16 or 64 inches for normal resistivity curves).
EXAMPLE TWO: This example shows an ES log compared to the induction conductivity curve (which is more accurate than the ES in high resistivity), contrasted with a microlog. Shaded intervals are permeable rocks.
EXAMPLE THREE: There is no reason to leave ES logs in their original format. When digitized they can be displated on a logarithmic scale to match modern logs or combined with other available curves.
|
||||||||||||||||||
|
Copyright ©
E. R. (Ross) Crain, P.Eng.
email |
||||||||||||||||||